Title:Similarity Invariants of Geometric Operators
Abstract: In 1978, I.M.Cowen and R.G .Douglas introduced a class of geometric operators in a Grassmann manifold. In their influential paper they give a unitary invariant...
Title: ADE and all that, 30 years after Abstract:In the late 80’s, some unexpected occurrences of the well known ADE classification of simply laced Lie algebras and Dynkin diagrams were found in the two...
Title. Fractal uncertainty principle and quantum chaos
Abstract. Fractal uncertainty principle states that no function can be localized close to a fractal set simultaneously in position and momentum. The...
Title. Multiplicative Poisson vertex algebras and differential-difference Hamiltonian equations
Abstract. It has been demonstrated in the past few years that Poisson vertex algebras (quasiclassical limits of vertex=chiral algebras) is the adequate...
Title. New symmetric tensor categories in positive characteristic
Abstract. We construct and study a nested sequence of finite symmetric tensor categories \({\rm Vec}=\mathcal C_0\subset \mathcal C_1\subset\cdots\subset \...
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China
A number of persons from the Mathematical Picture Language Project at Harvard met in Beijing as a small working group during the month June 15 to July 15, 2018. This gathering took place in collaboration with the Academy of Mathematics and Systems Science (AMSS) of the Chinese Academy of Sciences, which is is under the auspices of Academician Nanhua Xi. The working group was organized by Arthur Jaffe and Liming Ge, with the extensive assistance of Boqing Xue.