# Online: Seminar, Laurent Pascal Saloff-Coste (Cornell University), Is Any Compact Lie Group Uniformly Doubling? #### calendar\_today Date and Time **August 18, 2020** 10:00AM - 10:00AM EDT #### pin\_drop Location **Zoom** ![Saloff-Coste](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/saloff-coste.png?itok=L9vVuGAX) **Location:** Zoom [https://harvard.zoom.us/j/779283357 ](https://harvard.zoom.us/j/779283357%C2%A0) **Time:** Tuesday, August 18, 2020, 10:00 AM (Eastern US), 16:00 (Central Europe), 22:00 (China) **Title:** Is Any Compact Lie Group Uniformly Doubling? **Abstract:** A given compact Lie group, G, admits many left-invariant Riemannian metrics. Typically, they form a finite dimension cone L(G). Up to a multiplicative constant, the Riemannian measure for such metrics is the Haar measure of the group. Because the group is compact, each metric g in L(G) has the property that. there exists a constant C(G,g) - called the doubling constant - such that, for any radius r, the volume of the ball of radius 2r is at most C(G,g) times the volume of the ball of radius r. The title of this presentation asks the question: does there exist a constant C(G) such that, for all g in L(G), C(G,g) is bounded above by C(G). Is any compact Lie group uniformly doubling? We conjecture that this is the case. The only cases for which the conjecture is known are Riemannian tori and the group SU(2). The result for U(2) is work in progress. This reports on joint work with Maria Gordina (U. Connecticut) and Nathaniel Eldredge (U. Northern Colorado). **Additional Ways to Join** Join by telephone (use any number to dial in) +1 929 436 2866 +1 312 626 6799 +1 669 900 6833 +1 253 215 8782 +1 301 715 8592 +1 346 248 7799 +41 43 210 70 42 +41 43 210 71 08 +41 22 591 00 05 +41 22 591 01 56 +41 31 528 09 88 +31 20 794 6520 +31 20 794 7345 +31 20 241 0288 +31 20 794 0854 +31 20 794 6519 +65 3165 1065 +65 3158 7288 +33 1 7095 0350 +33 7 5678 4048 +33 1 7037 2246 +33 1 7037 9729 +33 1 7095 0103 +49 30 5679 5800 +49 695 050 2596 +49 69 7104 9922 +45 32 72 80 11 +45 89 88 37 88 +45 32 70 12 06 +45 32 71 31 57 +45 32 72 80 10 400 669 9381 China Toll-free 400 616 8835 China Toll-free 0 800 561 252 Switzerland Toll-free 0 800 002 622 Switzerland Toll-free 0 800 220 0040 Netherlands Toll-free 0 800 022 1954 Netherlands Toll-free 800 852 6054 Singapore Toll-free 800 101 3814 Singapore Toll-free 0 805 082 588 France Toll-free 0 800 940 415 France Toll-free 0 800 1800 150 Germany Toll-free 0 800 000 6954 Germany Toll-free 80 82 02 88 Denmark Toll-free 80 71 12 51 Denmark Toll-free International numbers available: [https://harvar](https://harvard.zoom.us/u/aclg6kOggb)[d.zoom.us/u/aclg6kOggb](https://harvard.zoom.us/u/aclg6kOggb) One tap mobile: +19294362866,,779283357# US (New York) Join by SIP conference room system Meeting ID: 779 283 357 <779283357@zoomcrc.com> **Attachments** --- Attachments- [ picture\_as\_pdf Flyer.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/saloff-coste_seminar_aug_18.pdf) --- Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1521469/event-feed.ics) Copy link link