Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Nov
23
2020

Computer Science/Discrete Mathematics Seminar I

New isoperimetric inequalities for convex bodies
11:15am|Remote Access Only - see link below

What can we say on a convex body from seeing its projections? In the 80s, Lutwak introduced a collection of measurements that capture this question. He called them the affine quermassintegrals. They are affine invariant analogues of the classical...

Nov
23
2020

Computer Science/Discrete Mathematics Seminar I

New isoperimetric inequalities for convex bodies
11:15am|Remote Access Only - see link below

What can we say on a convex body from seeing its projections? In the 80s, Lutwak introduced a collection of measurements that capture this question. He called them the affine quermassintegrals. They are affine invariant analogues of the classical...

Nov
23
2020

Members’ Seminar

Growth, isoperimetry and Liouville property for random walks on groups
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

In a joint work with Tianyi Zheng we show that the growth function of the first Grigorchuk group satisfies \[ \ln \ln v_n/\ln v_n = a, \] where $a = \log 2/\log x$, $x$ being a positive root of the polynomial $x^3-x^2-2x-4$. This is done by...

Nov
23
2020

Analysis Seminar

Boundary regularity and stability for spaces with Ricci curvature bounded below
4:30pm|Simonyi Hall 101 and Remote Access - see Zoom link below

An extension of Gromov compactness theorem ensures that any family of manifolds with convex boundaries, uniform bound on the dimension and uniform lower bound on the Ricci curvature is precompact in the Gromov-Hausdorff topology. In this talk, we...

Nov
24
2020

Computer Science/Discrete Mathematics Seminar II

Factorization through L2, Rounding and Duality Part 2
10:30am|Remote Access Only - see link below

Let X and Y be normed spaces. In functional analysis, a ``theorem on factorization through L2'' refers to the following type of statement: 

Every bounded linear operator A mapping X to Y (i.e. sup_x ||A(x)||_Y/||x||_X

Such factorization...

Nov
24
2020

Computer Science/Discrete Mathematics Seminar II

Factorization through L2, Rounding and Duality Part 2
10:30am|Remote Access Only - see link below

Let X and Y be normed spaces. In functional analysis, a ``theorem on factorization through L2'' refers to the following type of statement: 

Every bounded linear operator A mapping X to Y (i.e. sup_x ||A(x)||_Y/||x||_X

Such factorization...

Nov
25
2020

Stability and Testability

Approximations of groups, subquotients of infinite direct products and equations over groups
Lev Glebsky
11:00am|Remote Access - see Zoom link below

Let C be a class of groups. (For example, C is a class of all finite groups, or C is a class of all finite symmetric groups.) I give a definition of approximations of a group G by groups from C. For example, the groups approximable by symmetric...