Previous Conferences & Workshops

Oct
18
2023

Special Year Seminar

Test Ideals in Mixed Characteristic via the $p$-adic Riemann-Hilbert Correspondence
2:00pm|Simonyi 101 and Remote Access

Multiplier ideals in characteristic zero and test ideals in positive characteristic are fundamental objects in the study of commutative algebra and birational geometry in equal characteristic.  We introduced a mixed characteristic version of the...

Oct
17
2023

Computer Science/Discrete Mathematics Seminar II

Extending Generalization Theory to Address Phenomena in Contemporary Machine Learning
Shay Moran
10:30am|Simonyi Hall 101 and Remote Access

Recent years have seen remarkable progress in the field of Machine Learning (ML). 

However recent breakthroughs exhibit phenomena that remain unexplained and at times contradict conventional wisdom.  A primary reason for this discrepancy is that...

Oct
16
2023

Members' Colloquium

Fourier Uniqueness and Nonuniqueness Pairs
Mikhail Sodin
2:00pm|Simonyi 101 and Remote Access

Motivated by a discovery by Radchenko and Viazovska and by a work by Ramos and Sousa, we find conditions sufficient for a pair of discrete subsets of the real axis to be a uniqueness or a non-uniqueness pair for the Fourier transform. These...

Oct
16
2023

Symplectic Geometry Seminar

Fixed Points of Small Hamiltonian Diffeomorphisms and the Flux Conjectures
Marcelo S Atallah
12:30pm|Simonyi 101 and Remote Access

The $C^0$ flux conjecture predicts that a symplectic diffeomorphism that can be $C^0$ approximated by a Hamiltonian diffeomorphism is itself Hamiltonian. We describe how the flux conjecture relates to new instances of the strong Arnol’d conjecture...

Oct
16
2023

Computer Science/Discrete Mathematics Seminar I

A Combinatorial Characterization of Minimax in 0/1 Games
Shay Moran
11:15am|Simonyi 101 and Remote Access

We will discuss a generalization of the celebrated Minimax Theorem (von Neumann, 1928) for binary zero-sum games. A simple game which fails to satisfy Minimax is Ephraim Kishon's “Jewish Poker” (see [1,2] below). In this game, each player picks a...

Oct
13
2023

Joint IAS/PU Analysis Seminar

Immortal Solutions of the Kähler-Ricci Flow
Valentino Tosatti
4:00pm|Princeton University, Fine Hall 314

I will discuss the problem of understanding the long-time behavior of Ricci flow on a compact Kähler manifold, assuming that a solution exists for all positive time. Inspired by an analogy with the minimal model program in algebraic geometry, Song...

Oct
13
2023

Joint IAS/PU Analysis Seminar

On the Long-Time Behavior of Solutions to the 2d Euler Equation
Tarek Elgindi
2:30pm|Princeton University, Fine Hall 314

We will describe a recent result on the stability of twisting in 2d Hamiltonian flows and its application to various questions concerning the long-time behavior of 2d Euler solutions. We will look at stability properties of stationary solutions...