Previous Conferences & Workshops

Oct
11
2023

Mathematical Conversations

Gardner's Touching Cubes Problem
6:00pm|Simons Hall Dilworth Room

In 1971, Martin Gardner proposed a deceptively simple problem about 'kissing cubes' in his Mathematical Games column in the Scientific American, and more than three decades later it is still unsolved. In this talk I will introduce the problem, the...

Oct
11
2023

Special Year Seminar

Prismatic F-gauges and Fontaine-Laffaille Modules
Vadim Vologodsky
2:00pm|Simonyi 101 and Remote Access

With every bounded prism Bhatt and Scholze associated a cohomology theory of formal p-adic schemes. The prismatic cohomology comes equipped with the Nygaard filtration and the Frobenius endomorphism. The Bhatt-Scholze construction has been advanced...

Oct
10
2023

Computer Science/Discrete Mathematics Seminar II

Shrinkage Under Random Restrictions
10:30am|Simonyi Hall 101 and Remote Access

Random restrictions are a powerful tool used to study the complexity of boolean functions. Various classes of boolean circuits are known to simplify under random restrictions. A prime example of this, discovered by Subbotovskaya more than 60 years...

Oct
09
2023

Joint IAS/Princeton Arithmetic Geometry Seminar

Irregular Loci in the Emerton-Gee Stack for GL2
3:30pm|Simonyi Hall 101 and Remote Access

Let K be a finite extension of Qp. The Emerton-Gee stack for GL2 is a stack of etale (phi, Gamma)-modules of rank two. Its reduced part, X, is an algebraic stack of finite type over a finite field, and can be viewed as a moduli stack of two...

Oct
09
2023

Members' Colloquium

What is... $p$-adic geometry?
2:00pm|Simonyi 101

Let $p$ be a prime number. Roughly speaking, rigid analytic geometry is a counterpart of complex analysis where one replaces the field $\mathbf{C}$ of complex numbers by the field $\mathbf{Q}_{p}$ of $p$-adic rational numbers (or some extension...

Oct
09
2023

Computer Science/Discrete Mathematics Seminar I

Private Optimization and Statistical Physics: Low-Rank Matrix Approximation
Nisheeth Vishnoi
11:15am|Simonyi 101 and Remote Access

In this talk, I will present the following two connections between private optimization and statistical physics, both via the problem of approximating a given covariance matrix with a low-rank matrix:

  1. An efficient algorithm to privately compute a...
Oct
06
2023

What is...?

What is Combinatorial Discrepancy?
Peng Zhang
1:00pm|Simonyi 101 and Remote Access

Combinatorial discrepancy asks the following question: Given a ground set U and a collection S of subsets of U, how do we color each element in U red or blue so that each subset in S has almost an equal number of each color? A straightforward idea...

Oct
05
2023

Joint PU/IAS Number Theory

Integral Points On The Clebsch-Klein Surfaces
Rafael von Känel
4:30pm|Fine Hall 214, Princeton University

In this talk we present explicit bounds for the Weil height and the number of integral points on classical surfaces first studied by Clebsch (1871) and Klein (1873). Building on Hirzebruch's work in which he related these surfaces to a Hilbert...