Previous Conferences & Workshops

Apr
14
2021

Mathematical Conversations

Embedding Symplectic Ellipsoids and Diophantine equations
Dusa McDuff
5:30pm|Remote Access

This talk will explain work stemming from a group project that investigated the ellipsoidal embedding capacity function for the family of Hirzebruch surfaces. This problem turns out to have unexpected arithmetic structure, leading to an intricate...

Apr
14
2021

Geometric and Modular Representation Theory Seminar

Microlocal sheaves on certain affine Springer fibers
Zhiwei Yun
3:00pm|Simonyi Hall 101 and Remote Access

For homogeneous affine Springer fibers (those with $G_m$ symmetry), we realize them as Lagrangian cycles inside ambient symplectic varieties, and make sense of microlocal sheaves supported on these affine Springer fibers. We also propose a...

Apr
13
2021

SL2 Seminar

Meldings and the codimension-three conjecture
Kari Vilonen
6:00pm|Remote Access

I will start by recalling the notion of microlocal perverse sheaves and then briefly explain meldings. The rest of the talk is devoted to explaining the ideas involved in the proof of the codimension-three conjecture.

Apr
12
2021

Analysis Seminar

Long time dynamics of 2d Euler and nonlinear inviscid damping
Hao Jia
4:30pm|Remote Access

In this talk, we will discuss some joint work with Alexandru Ionescu on the nonlinear inviscid damping near point vortex and monotone shear flows in a finite channel. We will put these results in the context of long time behavior of 2d Euler...

Apr
12
2021

Members' Colloquium

Character bounds for finite simple groups
Pham Tiep
2:00pm|Simonyi Hall 101 and Remote Access

Given the current knowledge of complex representations of finite simple groups, obtaining good upper bounds for their characters values is still a difficult problem, a satisfactory solution of which would have significant implications in a number of...

Apr
12
2021

Computer Science/Discrete Mathematics Seminar I

Privacy as Stability, for Generalization
Katrina Legitt
11:15am|Remote Access - see Zoom link below

Many data analysis pipelines are adaptive: the choice of which analysis to run next depends on the outcome of previous analyses. Common examples include variable selection for regression problems and hyper-parameter optimization in large-scale...

Apr
08
2021

Joint IAS/Princeton University Number Theory Seminar

Low moments of character sums
Adam Harper
4:30pm|Remote Access

Sums of Dirichlet characters $\sum_{n \leq x} \chi(n)$ (where $\chi$ is a character modulo some prime $r$, say) are one of the best studied objects in analytic number theory. Their size is the subject of numerous results and conjectures, such as the...