# Mathematical Picture Language Seminar

This academic year, a seminar series in mathematical physics will be held in Jefferson 356 on Tuesdays at 4:00 p.m. Arthur Jaffe and Zhengwei Liu commenced the series with a talk introducing the Mathematical Picture Language Project on September 5th.

**2017-2018 Mathematical Physics Seminars**

**Jefferson 356, 4:00 p.m.**

**Tuesday, April 10 2018** **Zhiwei Yun**, MIT

"Hitchin moduli spaces in automorphic representation theory"

**Tuesday, April 3 2018** **Marcel Bischoff,** Ohio University

"Quantum Symmetries and Conformal Nets"

**Tuesday, March 27 2018** **Feng Xu**, UC Riverside

"On questions around the reconstruction program"

**Friday March 23 2018** **Wei Zhang**, MIT

Special day and time: 3:00 p.m. Jefferson 250

"Superpositivity of L-functions and 'completion of square'"

**Tuesday, March 20 2018** **Jürg Fröhlich**, ETH Zurich

"Physics in 2D – from the Kosterlitz-Thouless Transition to Topological Insulators"

**Tuesday, February 27 2018** **Hans Wenzl**, UC San Diego

"Coideal Algebras and Subfactors"

**Friday February 23 2018** **Xinqi Gong**, Renin University in China

Special day and time: 3:00 p.m. Jefferson 250

"Mathematical Intelligence Applications in Bio-medical Problems"

**Tuesday, February 13 2018 Nicholas Early**, University of Minnesota

"Canonical bases for permutohedral plates"

**Friday, February 9 2018 Boqing Xue**, Chinese Academy of Sciences

Special day and time: 10:00 a.m. Jefferson 453

"A basic introduction to the Riemann hypothesis"

**Tuesday, February 6 2018** **Jacob Shapiro**, ETH Zurich

"Bulk-Edge Duality and Complete Localization for Disordered Chiral Chains"

**Friday, February 2 2018 Yunxiang Ren**, Tennessee State University

Special day and time: 4:00 p.m. Jefferson 250

"A new skein theory for One-Way Yang-Baxter planar algebras"

**Tuesday, January 30 2018** **Kaifeng Bu**, Harvard University and Zhejiang University

"de Finetti Theorems for Braiding Parafermions"

**Tuesday, January 23 2018** **Bin Gui**, Vanderbilt University

"A unitary tensor product theory for unitary vertex operator algebra modules"

**Tuesday, January 16 2018** **Marco de Renzi**, University of Paris 7

"Renormalized Hennings Invariants and TQFTs"

**Tuesday, November 14 2017** **Dennis Gaitsgory**, Harvard University

"Higher representation theory"

**Tuesday, November 7 2017** **Liming Ge**, UNH and Chinese Academy of Science

"From Riemann and Hilbert to Kadison-Singer"

**Tuesday, October 31 2017** **Zhenghan Wang**, Microsoft Station Q

"Reconstructing chiral CFTs/VOAs from 2D TQFTs/MTCs"

**Tuesday, October 24 2017** No Seminar

**Tuesday, October 17 2017** No Seminar

**Thursday, October 12 2017** **Yasu Kawahigashi**, University of Tokyo

Special day and time: 2:00 p.m. Jefferson 453

“From vertex operator algebras to operator algebras and back”

**Tuesday, October 10 2017 Michael Hopkins**, Harvard University

"Reflection Positivity and Invertible Topological Phases"

**Tuesday, October 3 2017** **Alina Vdovina**, Newcastle University, UK

“Buildings, surfaces and quaternions”

Tuesday, September 26 Jinsong Wu, Harvard University

“The Brascamp-Lieb Inequalities for Planar Algebras”

**Tuesday, September 19 2017**

No Seminar, Brian Greene Public Lecture

**Tuesday, September 12 2017** **William Norledge**, Harvard University

“A Construction of Lattices in Buildings”

**Tuesday, September 5 2017** **Arthur Jaffe and Zhengwei Liu**, Harvard University

This spring semester, **starting February 5, 2019,** seminars will generally be held in Jefferson 356 on Tuesdays at 3:00 p.m. This past fall semester, starting September 4, 2018, seminars were generally in Jefferson 356 on Tuesdays at 4:00 p.m.

Exceptions are noted.**Tuesday, April 30 2019 Shawn Cui,** Virginia Tech

"Four Dimensional Topological Quantum Field Theories from G-crossed Braided Categories"**Tuesday, April 23 2019 Yi-Hong Zhang, **Tsinghua University

"Quantum many-body computation on a small quantum computer" **Tuesday, April 16 2019 Emil Prodan, **Yeshiva University

"Pushing index theorems into the Sobolev" **Tuesday, April 9 2019 Claus Koestler,** University College Cork

"Markovianity as a distribution symmetry"**Special Extra Seminar, ****Tuesday, April 9 2019 ****4:30PM**** Alina Vdovina,** Newcastle University

"Higher dimensional picture languages"**Tuesday, April 2 2019 Mikael Rordam and Magdalena Elena Musat, **University of Copenhagen* 3PM* : Mikael Roradam, "Highlights of the classification of simple nuclear C*-algebras"

**Magdalena Elena Musat, "Quantum correlations, factorizable channels, and the Connes Embedding Problem"**

*4PM:***Tuesday, March 26 2019 Jinsong Wu,**Harbin Institute of Technology

"Fourier Analysis on Fusion Rings"

**Tuesday, March 12 2019 Youwei Zhao,**University of Science and Technology of China

"A review of the surface code from an experimental perspective"

**Tuesday, March 5 2019 Kaifeng Bu, **Harvard and Zhejiang University

"Efficient classical simulation of Clifford circuits with nonstabilizer input states"

**Tuesday, February 26 2019 Fei Wei,** Harvard

"Entropy of arithmetic functions and arithmetic compactifications"

**Tuesday, February 12 2019 Liang Kong, **Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology

"A unified mathematical theory of gapped and gapless boundaries of 2d topological orders"

**Tuesday, February 5 2019 Zhengwei Liu, **Harvard

"Quantum Error Correcting Codes"

**Tuesday, November 13 2018 William Norledge **Pennsylvania State University

"The adjoint braid arrangement as a free Lie algebra in species via the Steinmann relations"

**Friday, November 9 2018 Xun Gao **Harvard University and Max Planck Institute for Quantum Optics**Special Day, Special Time: Now on**** **Friday 3:30PM, Jefferson 256

"Pictorial language in quantum computation"

**Tuesday, October 30 2018 Chunlan Jiang **Hebei Normal University

"Similarity Invariants of Geometric Operators"

**Tuesday, October 23 2018 Shamil Shakirov** Harvard University

"Rational integrable systems associated with higher genus surfaces"

**Tuesday, October 16 2018 Christoph Gorgulla**, Harvard Medical School

"A quantum mechanical free energy method based on Feynman's path integral formulation"

**Tuesday, October 9 2018 Jean-Bernard Zuber**, Sorbonne Université

"ADE and all that, 30 years after"

**Friday, October 5 2018 Semyon Dyatlov**, University of California, Berkeley and MIT**Special Day, Extra Seminar:**** **Friday 4:30PM**Special Location: **Jefferson 453

"Fractal uncertainty principle and quantum chaos"

**Tuesday, October 2 2018** **Victor Kac**, MIT**Special Time:** 5:00 PM

"Multiplicative Poisson vertex algebras and differential-difference Hamiltonian equations"

**Tuesday, September 25 2018** **Pavel Etingof**, MIT

"New symmetric tensor categories in positive characteristic"

**Tuesday, September 18 2018** **Liming Ge**, UNH and Chinese Academy of Sciences

"On Multiplicative Fourier Transform"

**Friday, September 14 2018 Zhengwei Liu, **Harvard**Special Time and Location:** Infinite Dimensional Analysis Seminar.

Friday, September 14 at 3pm in MIT Room 2-136

"Quantum Fourier Analysis"

**Tuesday September 11 2018 and Wednesday September 12**: The regular seminar will be replaced by the 2018 Ahlfors Lectures on machine learning by **Sanjeev Arora**.

**Friday, September 7, 2018** **Zhengwei Liu, **Harvard**Special Time and Location:** Tufts University Mathematics Colloquium.

Friday, September 7 at 4pm. Tea at 3:30pm Bromfield-Pearson 101

Quantum Fourier Analysis

**Tuesday, September 4 2018 Bohan Fang**, Peking University

"Mirror symmetry for the toric Calabi-Yau 3-folds"

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From March 24, 2020, the seminar will be held on **Tuesdays at 10:00 a.m. Boston time**.

The link to all seminars from September 29, 2020, forward is **Zoom Link for Tuesday Mathpicture Seminars**.

Most seminars, from March 31, 2020, can be viewed at this **Youtube Link for Past Seminars**.

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**We are now taking a summer break. Stay tuned for more seminars starting again in August!**

**We are now taking a summer break. Stay tuned for more seminars starting again in August!**

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**Online:** **Tuesday, June 22, 2021 Francis Brown, **All Souls College, Oxford University Notes Video

"Invariant differential forms, graph complexes, and Feynman integrals"

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**Online:** **Tuesday, June 15, 2021 Jeongwan Haah, **Microsoft Notes Video

"Topological phases of discrete time evolution"

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**No Seminar:** **Tuesday, June 8, 2021 **

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**Online:** **Tuesday, June 1, 2021 Svetlana Jitomirskaya, **University of California, Irvine Slides Video

“Fractal properties of the Hofstadter's butterfly and singular continuous spectrum of the critical almost Mathieu operator"

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**Online:** **Tuesday, May 25, 2021 Feng Xu, **University of California, Riverside

"Rigorous results about relative entropy in QFT"

**Online:** **Tuesday, May 18, 2021 ** **Yann LeCun****, **New York University and Facebook Slides Video

"The Energy-Based Learning Model"

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**Online:** **Tuesday, May 11, 2021 ** **Xun Gao**, Harvard University Slides Video

“Understanding the Linear Cross Entropy Benchmark through a Statistical Physics Model”

**Online:** **Tuesday, May 4, 2021 Rupert Frank, **Cal Tech and LMU Slides Video

"Lieb-Thirring Bounds and other Inequalities for Orthonormal Functions"

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**Online:** **Tuesday, April 27, 2021 Bruno Nachtergaele, **University of California, Davis Slides Video

"Dimerization in Quantum Spin Chains With O(n) Symmetry"

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**Online:** **Tuesday, April 20, 2021 Haribabu Arthanari, **Harvard Medical School Slides Video

"Emerging Frontiers in Nuclear Magnetic Resonance"

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**Online:** **Tuesday, April 13, 2021 Jens Hoppe, **Technische Universitat Braunschweig Slides Video

"Aspects of M Theory"

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**Online:** **Tuesday, April 6, 2021 Anton Alexeev, **University of Geneva Slides Video

"Conjugation of Words, Self-Intersections of Planar Curves, and Non-Commutative Divergence"

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**Online:** **Tuesday, March 30, 2021 Dietmar Bisch, **Vanderbilt University Slides Video

"The Wondrous World of Hyperfinite Subfactors"

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**Online:** **Tuesday, March 23, 2021 J. William Helton, **UCSD (Univeristy of California, San Diego) Slides Video

"Noncommutative Real Algebraic Geometry and Quantum Games"

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**Online:** **Tuesday, March 16, 2021 Mikhail Lukin, **Harvard University

"Exploring New Scientific Frontiers with Programmable Quantum Systems"

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**Online:** **Tuesday, March 9, 2021 Sorin Popa, **UCLA (University of California, Los Angeles) Slides Video

"Some Analysis Aspects Subfactor Theory"

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**Online:** **Tuesday, March 2, 2021 Antti Kupiainen, **University of Helsinki Slides Video

"Integrability of Liouville Theory"

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**Online:** **Tuesday, February 23, 2021 Jian-Wei Pan, **USTC (University of Science and Technology of China) Slides Video

**Special time:** 9:30am EST

"From Multi-Photon Entanglement to Quantum Computational Advantage"

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**Online:** **Tuesday, February 16, 2021 Emily Riehl, **Johns Hopkins University Slides Video

"Elements of ∞-Category Theory"

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**Online:** **Tuesday, February 9, 2021 John Imbrie, **University of Virginia Slides Video

"Many-Body Localization near the Critical Point"

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**Online:** **Tuesday, February 2, 2021 Stefaan Vaes, **Katholieke Universiteit, Leuven Slides Video

"W*-rigidity Paradigms for Embeddings of II₁ Factors"

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**Online:** **Tuesday, January 26, 2021 Matthias Christandl, **University of Copenhagen Slides Video

"Fault-Tolerant Coding for Quantum Communication"

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**Online:** **Tuesday, January 19, 2021 Kaifeng Bu, **Harvard University, visiting YMSC, Tsinghua University Slides Video

"Complexity of Neural Networks"

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**Online:** **Tuesday, January 12, 2021 Christopher Ryba, **University of California, Berkeley Slides Video

"Stable Character Polynomials for Symmetric Groups"

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**Online:** **Tuesday, January 5, 2021 Renato Renner**, ETH Zürich Slides Video

"Fundamental Bound on Time Signal Generation"

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**No Seminar:** **Tuesday, December 29, 2020 **

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**Online:** **Tuesday, December 22, 2020 Zhengwei Liu**, Tsinghua University Slides Video

"Brain-storming in Math and Physics - Dedicated to Arthur Jaffe"

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**Online:** **Tuesday, December 15, 2020 Gian Michale Graf**, ETH Zurich Slides Video

"Topology in Shallow-Water Waves: A Violation of Bulk-Edge Correspondence"

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**Online:** **Tuesday, December 8, 2020 Xiao-Gang Wen**, Massachusetts Institute of Technology Slides Video

"Symmetry as a Shadow of Topological Order"

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**Online: **Wednesday, December 3 2020 **Arthur Jaffe** gave a talk in the CMSA-YMSC literature series Slides Video

"Is Relativity Compatible with Quantum Theory?"

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**Online:** **Tuesday, December 1, 2020 Yasuyuki Kawahigashi**, University of Tokyo Slides Video

"Topological Order, Tensor Networks and Subfactors"

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**No Seminar:** **Tuesday, November 24, 2020 **

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**Online:** **Tuesday, November 17, 2020 Quanhua Xu**, Université de Franche-Comté and Harbin Institute of Technology

"Mikhlin Type Fourier Multipliers on Free Groups and Free Products of von Neumann Algebras" Slides Video

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**Online:** **Tuesday, November 10, 2020 Sergei Gukov**, California Institute of Technology Slides Video

"Learning to Unknot"

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**Online:** **Tuesday, November 3, 2020 Liang Kong**, SUSTech (South China University of Science and Technology) Slides Video** **

"On the Classification of Topological Orders with Finite Internal Symmetries"

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**Online:** **Tuesday, October 27, 2020 Sebastien Palcoux**, Tsinghua University Slides Video

"The Quest of a Finite Purely-Quantum Group"

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**Online:** **Tuesday, October 20, 2020 Joost Slingerland**, National University of Ireland, Maynooth Slides Video

"Exploring Small Fusion Rings and Tensor Categories"

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**Online:** **Tuesday, October 13, 2020 Xun Gao**, Harvard University Slides Video

"Fractionalization, Exactly Solvable Models, and Quantum Circuits"

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**Online:** **Tuesday, October 6, 2020 Zhenghan Wang**, Microsoft Station Q and UCSB Slides Video

"Reconstructing CFTs from TQFTs"

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**Online:** **Tuesday, September 29, 2020 David Evans**, University of Cardiff Slides Video

"K-theory of Operator Algebras, Orbifolds and Conformal Field Theory"

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**Online:** **Tuesday, September 22, 2020 Yunxiang Ren**, Harvard University Slides Video

"Triangular Prism Equations and Categorification"

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**Online:** **Tuesday, September 15, 2020 Avi Wigderson**, Institute for Advanced Study Slides Powerpoint Video

"Optimization, Complexity, and Math"

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**Online:** **Tuesday, September 8, 2020 Nilanjana Datta**, Cambridge University Slides Video

"Discriminating Between Unitary Quantum Processes"

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**Online:** **Tuesday, September 1, 2020 Jinsong Wu**, Harbin Institute of Technology Slides Video

"Some Inequalities in Locally Compact Quantum Groups"

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**Online:** **Tuesday, August 25, 2020 No Seminar**

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**Online:** **Tuesday, August 18, 2020 Laurent Pascal Saloff-Coste**, Cornell University Slides Video

"Is any compact Lie group uniformly doubling?"

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**Online:** **Tuesday, August 11, 2020 Marianne Leitner, **Dublin Institute for Advanced Studies (joint seminar with DIAS) Slides Video

"Integrability, Rationality and Convolutions"

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**Online:** **Tuesday, August 4, 2020 Gilles Pisier**, Texas A&M University and Sorbonne Université Slides Video

"A Non-nuclear C*-algebra with the Weak Expectation Property and the Local Lifting Property”

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**Online:** **Tuesday, July 28, 2020 David Gross**, University of Cologne Slides Video

"The Representation Theory of the Clifford Group, with Applications in Quantum Information"

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**Online:** **Tuesday, July 21, 2020 Vaughan Jones**, Vanderbilt University Slides Video

"Applied von Neumann Algebra"

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**Online:** **Tuesday, July 14, 2020 Paul Fendley**, All Souls College, Oxford University Slides Video

"Integrability and Braided Tensor Categories"

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**Online:** **Tuesday, July 7, 2020 Marius Junge**, University of Illinois at Urbana-Champaign Slides Video

"Decay Estimates and Complete Bakry-Emry Theory"

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**Online:** **Tuesday, June 30, 2020 Robert Raussendorf**, University of British Columbia Slides Video

"A Hidden Variable Model for Universal Quantum Computation With Magic States on Qubits"

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**Online:** **Tuesday, June 23, 2020 Zhengwei Liu**, Tsinghua University (visiting Harvard) Slides Video

"Quantum Fourier Analysis"

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**Online:** **Tuesday, June 16, 2020 Matthew Hastings**, Microsoft Station Q and Redmond Slides Video

"The Power of Adiabatic Quantum Computation with no Sign Problem"

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**Online:** **Tuesday, June 9, 2020 Elizabeth Crosson**, University of New Mexico Slides Video

"The Sign Problem and its Relation to the Spectral Gap of Quantum Many-Body Systems"

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**Online:** **Tuesday, June 2, 2020 Shawn Cui**, Purdue University Slides Video

"Kitaev's Finite Group Model as an Error Correcting Code"

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**Online:** **Tuesday, May 26, 2020 Scott Aaronson**, University of Texas Video

"From Archimedes to Quantum Supremacy"

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**Online:** **Tuesday, May 19, 2020 Alina Vdovina**, University of Newcastle Slides Video

"Buildings, C*-Algebras and New Higher-Dimensional Analogues of the Thompson Groups"

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**Online: ****Tuesday, May 12, 2020** **Werner Nahm**, Dublin Institute for Advanced Study Slides Video

"Euclidean Quantum Field Theory: Axioms and Automorphic Forms"

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**Online: ****Tuesday, May 5, 2020** **Roberto Longo**, University of Rome Tor Vergata Slides Video

"The Information in a Wave"

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**Postponed: Tuesday, April 28, 2020 David Ruelle**, IHES (France)

"A Theory of Hydrodynamic Turbulence Based on Non-Equilibrium Statistical Mechanics"

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**Online: Tuesday, April 28 2020 Daniel Gottesman,** Perimeter Institute Slides Video

"Graphical Proofs for Fault-Tolerant Quantum Computation"

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**Online:** **Tuesday, April 21, 2020** **Jürg Fröhlich**, ETH Zürich Slides Video

"Kochen, Specker, Bell, and Others"

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**Postponed: Tuesday, April 21, 2020 Zhenghan Wang**, Microsoft Station Q and UCSB

"Ground-States of Topological Phases of Matter as Error Correction Codes"

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**Online: Tuesday, April 14 2020 Thomas Spencer,** Institute for Advanced Study, Princeton Slides Video

"Evolution of NLS with Bounded Data"

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**Online: Tuesday, April 7, 2020 Leonard Gross**, Cornell Univesity Slides Video

"Equivalence of Helicity and Euclidean Self-Duality for Gauge Fields"

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**Online: Tuesday, March 31 2020 Ian Jauslin**, Princeton University Slides Video

"Liquid crystals and the Heilmann-Lieb model"

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**Online: Tuesday, March 24 2020 Edward Farhi,** Google and MIT

"QAOA: Landscape Independence and the Sherrington-Kirkpatrick Model"

Zoom (video presentation) at https://harvard.zoom.us/j/881015355

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**Tuesday, March 10 2020 Sergei Bravyi,** IBM

"Variational Quantum Algorithms: Obstacles and Opportunities"

**Special time:** 3 pm

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**Thursday, March 5 2020 James Glimm,** SUNY at Stony Brook

"A Maximum Entropy Rate Principle and Other Turbulence Related Results and Speculations"

**Special day and time:** Thursday, 4:30 pm

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**Tuesday, March 3 2020 Weihua Liu,** University of Arizona

“On quantum distributional symmetries for *-random variables”

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**Thursday, February 27 2020 Nilin Abrahamsen,** MIT

**Special day and time:** Thursday, 11:00 am

**Special location:** Lyman 338

"Classical Algorithm for Ground States of Spin Trees"

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**Tuesday, February 25 2020 You Zhou,** Harvard

"Constructing Multipartite Bell Inequalities from Stabilizers"

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**Tuesday, February 18 2020 Linghang Kong,** MIT

**Special time:** 3 pm

"Separation of Out-of-time-ordered Correlation and Entanglement"

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**Tuesday, February 11 2020 Dominik Wild**, Harvard

"Quantum Algorithms for Classical Sampling Problems"

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**Tuesday, February 4 2020 Zhengwei Liu, **Tsinghua University

"Quantized Graphs and Quantum Error Correction"

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**Tuesday, January 28 2020 Aram Harrow,** MIT

"Phase Transitions in the Complexity of Simulating Random Shallow Quantum Circuits"

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**Tuesday, January 7 2020 Jin-Long Huang,** University of California San Diego

"Exotic 3D Topologically Ordered States"

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**Tuesday, December 3 2019 Christopher King,** Northeastern University

"Contractive Bounds for Quantum Markov Semigroups"

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**Thursday, November 7 2019 Leo Zhou**, Harvard

**Special day and time:** Thursday, 11 am

**Special location:** Lyman 338

"Symmetry-Protected Dissipative Preparation of Matrix Product States"

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**Tuesday, November 12 2019** **Yichen Huang**, MIT

"Renyi Entanglement Entropy in Quantum Many-Body Systems"

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**Thursday, October 24 2019** **Chunlan Jiang,** Heibei Normal University

**Special day:** Thursday

**Special location:** Lyman 338

"Some Progress on the Problem of Invariant Subspaces"

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**Tuesday, October 22 2019** **Juven Wang**, Harvard University

"Quantum 4d Yang-Mills Theories and Time-Reversal Symmetric 5d Higher-Gauge TQFT"

The Math Picture Language seminar will be held at **9:30 a.m. Boston time**.

Click the link for Zoom Link for Tuesday Math Picture Language Seminars.

Recorded seminars can be viewed on the Mathemical Picture Language YouTube channel.

Please email cstillman@fas.harvard.edu to be added to the seminar mailing list.

Tuesday, June 7, 2022 **Patrick Coles, **Los Alamos National Laboratory video slides

"Training landscapes for parameterized quantum circuits"

Tuesday, May 24, 2022 ** Alice Guionnet,** ENS Lyon video

"Matrix models, the enumeration of maps and free probability"

Tuesday, May 17, 2022 ** Israel Michael Sigal**, University of Toronto video

"Long-time Dynamics in Quantum Mechanics and Condensed Matter Physics"

Tuesday, May 10, 2022 ** Sitan Chen, **University of California Berkeley video slides

"Learning Polynomial Transformations"

Tuesday, May 3, 2022 ** Ramon van Handel, **Princeton University video

"Nonasymptotic random matrix theory"

Tuesday, April 19, 2022 ** Assaf Naor, **Princeton University video

"Vertical versus horizontal isoperimetry"

Tuesday, April 12, 2022 ** Jintai Ding, **Tsinghua University and Beijing Institute of Mathematical Sciences and Applications (BIMSA) video slides

"Post-quantum cryptography and post-quantum key exchange based on the LWE and RLWE problems"

Thursday, April 7, 2022 **NOTE DAY and DATE ** ** David Ruelle,** Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France video slides

"A Natural Limitation for Properly Human Scientific Progress"

Tuesday, April 5, 2022 ** Edward Frenkel,** University of California Berkeley video slides

"Analytic Langlands correspondence for complex curves"

Tuesday, March 29, 2022 ** Alice Guionnet,** ENS Lyon*Rescheduled to May 24, 2022*

"Matrix models, the enumeration of maps and free probability"

Tuesday, March 22, 2022 ** Hsin-Yuan (Robert) Huang,** California Institute of Technology video slides

"Provably efficient machine learning for quantum many-body problems"

Tuesday, March 15, 2022 ** No Seminar**

Tuesday, March 8, 2022 ** Thomas Spencer,** Institute for Advanced Study, Princeton video slides

"Continuous symmetry breaking along the Nishimori line"

Tuesday, March 1, 2022 ** Feng Xu,** University of California Riverside video slides

"Rigorous results about entropy in QFT"

Tuesday, February 22, 2022 ** Yury Polyanskiy**, MIT video slides

"Uniqueness of BP fixed point for Ising models"

Tuesday, February 15, 2022 ** Jian Ding**, Peking University video slides

"Recent progress on the random field Ising model"

Tuesday, February 8, 2022 ** Roland Bauerschmidt**, Cambridge University video slides

"Random forests and the OSp(1|2) nonlinear sigma model"

Tuesday, February 1, 2022 ** Norman Yao**, Harvard University video

"What is a time crystal?"

**Winter Break**: December 15, 2021 to January 31, 2022

Tuesday, December 14, 2021 **Guoliang Yu**, Texas A&M University video slides

"Higher invariants of Dirac operators and positive scalar curvature"

Tuesday, December 7, 2021 **Alain Connes**, IHES and College de France video slides

"Prolate spheroidal functions and zeta"

Tuesday, November 30, 2021 ** Yue Lu**, Harvard University video

"Learning by Random Features and Kernel Random Matrices: Sharp Asymptotics and Universality Laws"

Tuesday, November 16, 2021 **Leslie Valiant**, Harvard University video

"Holographic Algorithms"

Tuesday, November 9, 2021 **Semyon Dyatlov**, MIT video slides

"Resonances for Open Quantum Maps"

Tuesday, November 2, 2021 **Seth Lloyd**, MIT video slides article

"Quantum algorithms for topological and geometric analysis of data"

Tuesday, October 26, 2021 **Weinan E**, Princeton University and Beijing Institute of Big Data Research video slides

"A Mathematical Perspective of Machine Learning"

Tuesday, October 19, 2021 **Jordan Cotler**, Harvard University video slides

"Quantum-enhanced Learning using a Quantum Memory"

Tuesday, October 12, 2021 **Zhengwei Liu**, Tsinghua University & Yanqi Lake Beijing Institute of Mathematical Sciences and Applications video slides

"Uncertainty Principles on Quantum Symmetries"

Tuesday, October 5, 2021 **Cynthia Dwork**, Harvard University. video slides

"Differential Privacy: The Mathematical Bulwark Against Reidentification and Reconstruction"

The Math Picture Language seminar will be held at **9:30 a.m. Boston time**.

Click the link for a Zoom Link for Tuesday Math Picture Language Seminars.

Recorded seminars can be viewed on the Mathemical Picture Language YouTube channel.

Tuesday, September 20, 2022 **Melanie Wood**, Harvard University video slides

"Determining distributions of groups from their moments"

Tuesday, September 27, 2022 **Jens Eisert**, Freie Universität Berlin video

"A Single T-Gate Makes Quantum Distribution Learning Hard"

Tuesday, October 4, 2022 **Giacomo De Palma**, University of Bologna, Italy video slides

"The quantum Wasserstein distance of order 1"

Tuesday, October 11, 2022 **Narutaka Ozawa**, Kyoto University video slides

"Kazhdan's property (T) for Aut(F_n) and EL_n(R)"

Tuesday, October 18, 2022 **Liang Jiang**, University of Chicago video

"Path-Independent Quantum Gates"

Tuesday, October 25, 2022 **Philippe Faist**, Freie Universität Berlin video slides

"Time-energy uncertainty relation and quantum error correction for noisy quantum metrology"

Tuesday, November 1, 2022 **Eric Carlen**, Rutgers University video slides

"Quantum Entropy Inequalities and Reversible Quantum Markov Semigroups as Gradient Flow for Quantum Relative Entropy"

Tuesday, November 8, 2022 **Kushal Seetharam**, MIT and Harvard University video slides

"Quantum simulation of parameter-averaged NMR experiments"

Tuesday, November 15, 2022 **Roy Garcia**, Harvard University video slides

"Resource theory of quantum scrambling"

**WINTER BREAK**

Tuesday, January 31, 2023 **Beni Yoshida**, Perimeter Institute video slides

"Holographic Scattering from Quantum Error-Collection"

Tuesday, February 7, 2023 **Dan Freed**, University of Texas

"What is an Anomaly?"

Tuesday, February 14, 2023 **Anne-Marie Aubert**, Centre National de la Recherche Scientifique

"A Bridge Between the Baum-Connes Conjecture and the Langlands Program"

Tuesday, February 21, 2023 **Dongling Deng**, Tsinghua University

"Recent Advances in Quantum AI"

Tuesday, February 28, 2023 **Andrew Childs**, University of Maryland

"Quantum divide and conquer"

Tuesday, March 21, 2023 **Peter Love**, Tufts University

TBA

Tuesday, March 28, 2023 **Yitang Zhang**, University of California, Santa Barbara

TBA

Tuesday, April 4, 2023 **John Cardy**, University of California, Berkeley

TBA

Tuesday, April 18, 2023 **Klaus Fredenhagen**

TBA

**New Frontiers: Interactions between Quantum Physics and Mathematics. Conference June 20-23, 2022 **schedule and program.

Recorded talks can be viewed on the Mathematical Picture Language Youtube channel.

Thursday, June 23, 2022 ** Nilanjana Datta**, University of Cambridge video

"Universal proofs of entropic continuity bounds via majorization flow"

Thursday, June 23, 2022 ** Marius Junge**, University of Illinois at Urbana-Champaign video

"Entropy decay in large open systems"

Thursday, June 23, 2022 ** Elchanan Mossel**, MIT video

"Variations of Hyper-contraction"

Thursday, June 23, 2022 ** Hari Arthanari**, Harvard Medical School/DFCI video

"Emerging frontiers in computational drug discovery"

Wednesday, June 22, 2022 ** Terry Gannon**, University of Alberta video

"Exotic quantum subgroups for any Lie algebra"

Wednesday, June 22, 2022 ** Aram Harrow**, MIT video

"Quantum walks on hierarchical graphs"

Wednesday, June 22, 2022 ** Jun Yang**, Harvard University video

"The Plancherel Measure of an Adelic Group is the von Neumann Dimension"

Wednesday, June 22, 2022 ** Kaifeng Bu**, Harvard University video

"Quantum circuit complexity and quantum resource"

Wednesday, June 22, 2022 ** Victor Ostrik**, University of Oregon video

"Frobenius exact symmetric tensor categories."

Wednesday, June 22, 2022 ** Julia Plavnik**, Indiana University, Bloomington video

"Zesting, condensation and gauging as quantum symmetries"

Wednesday, June 22, 2022 ** Shawn Cui**, Purdue University video

"Trisection invariants of 4-manifolds from Hopf algebras"

Wednesday, June 22, 2022 ** Zhengwei Liu**, Tsinghua University and BIMSA video

"Quantum Fourier Analysis for Quantum Channels"

Wednesday, June 22, 2022 ** Peter Shor**, MIT video

"Quantum Money"

Tuesday, June 21, 2022 ** Edward Farhi**, MIT

"An overview of the Quantum Approximate Optimization Algorithm"

Tuesday, June 21, 2022 **Dave Penneys**, Ohio State University

"Composing topological domain walls and anyon mobility"

Tuesday, June 21, 2022 **Steven Flammia**, AWS Center for Quantum Computing

"A Constructive Approach to Zauner's Conjecture via the Stark Conjectures"

Tuesday, June 21, 2022 **Guoliang Yu**, Texas A&M University video

"An index theorem for manifolds with corners and scalar curvature rigidity"

Tuesday, June 21, 2022 **Leonard Susskind**, Stanford University video

"Infinite Temperature's not so hot."

Tuesday, June 21, 2022 **Yasuyuki Kawahigashi**, University of Tokyo video

"A characterization of a finite-dimensional commuting square producing a subfactor of finite depth"

Tuesday, June 21, 2022 **Yury Polyanskiy**, MIT video

"Information propagation in low dimensions"

Tuesday, June 21, 2022 **Jiaoyang Huang**, Courant Institute, NYU video

"Random Matrix Statistics"

Tuesday, June 21, 2022 **Michael Freedman**, Microsoft video

"Smallest Interacting Universe"

Monday, June 20, 2022 **Open Questions Session** video

Monday, June 20, 2022 **Daniel Loss**, University of Basel video

"From Fractional Spin to Topological Magnons"

Monday, June 20, 2022 **Hans Wenzl**, University of California, San Diego video

"Module Categories for WZW-Models"

Monday, June 20, 2022 **Renato Renner**, ETH Zurich video

"A quantum information perspective on black holes"

Monday, June 20, 2022 **Xiao-Gang Wen**, MIT video

"Phases and Phase transition from categorical symmetry"

Monday, June 20, 2022 **Roberto Longo**, University of Rome Tor Vergata video

"Entropy and the modular Hamiltonian"

Monday, June 20, 2022 **Zhenghan Wang**, Microsoft video

"Spaces of Hamiltonians, symmetries of topological order, and Floquet codes"

Monday, June 20, 2022 **Mikhail Lukin**, Harvard University video

"Exploring new scientific frontiers using programmable atom arrays"