Previous Conferences & Workshops

Feb
28
2024

Mathematical Conversations

Permanent versus Determinant
6:00pm|Birch Garden, Simons Hall

The permanent and determinant are polynomial functions of the entries of a matrix, differing only in the signs of their monomials. Despite their apparent similarity, these polynomials play very different roles in mathematics and computer science...

Feb
28
2024

Special Year Seminar

D-modules on the Fargues-Fontaine Curve
3:30pm|Simonyi 101 and Remote Access

Motivated by the desire to express in terms of de Rham data the pro-étale cohomology with non-trivial $\mathbb{Q}_p$-coefficients of rigid spaces $X$, defined over $\mathbb{Q}_p$ or $\mathbb{C}_p$, I will explain how to define D-modules on the...

Feb
28
2024

Marston Morse Lectures

Singularity Models in 3D Ricci Flow
Simon Brendle
2:00pm|Simonyi 101 and Remote Access

The Ricci flow is a natural evolution equation for Riemannian metrics on a given manifold. From the point of view of PDE, the Ricci flow is a system of linear parabolic equations, which can be viewed as the heat equation analogue of the Einstein...

Feb
27
2024

Computer Science/Discrete Mathematics Seminar II

Computing Greatest Common Divisors of Polynomials in Parallel
10:30am|Simonyi Hall 101 and Remote Access

Given two univariate polynomials, how does one compute their greatest common divisor (GCD)? This problem can be solved in polynomial time using the Euclidean algorithm, and even in quasi-linear time using a fast variant of the Euclidean algorithm...

Feb
26
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Prismatization and the Image of the J-homomorphism
3:30pm|Fine 322, Princeton University

For p a prime number, Bhatt–Lurie and Drinfeld defined the prismatization of a p-complete commutative ring R. I will overview a different perspective on prismatization, using homotopy theory and in particular topological Hochschild homology. This...

Feb
26
2024

Marston Morse Lectures

Minimal Surfaces and the Isoperimetric Inequality
Simon Brendle
2:00pm|Simonyi 101 and Remote Access

The isoperimetric inequality has a long history in the geometry. In this lecture, we will discuss how the isoperimetric inequality can be generalized to submanifolds in Euclidean space. As a special case, we obtain a sharp isoperimetric inequality...

Feb
26
2024

Symplectic Geometry Seminar

Hofer-Wysocki-Zehnder's Conjecture on Two or Infinitely Many Orbits
Daniel Cristofaro-Gardiner
12:30pm|Simonyi 101 and Remote Access

In their 2001 paper, Hofer, Wysocki and Zehnder conjectured that every autonomous Hamiltonian flow has either two or infinitely many simple periodic orbits on any compact star-shaped energy level; in the same paper, the authors prove this assuming...

Feb
26
2024

Computer Science/Discrete Mathematics Seminar I

Stability and Learning in Strategic Games
Éva Tardos
11:00am|Simonyi 101 and Remote Access

Over the last two decades we have developed good understanding how to quantify the impact of strategic user behavior on outcomes in many games (including traffic routing and online auctions) and showed that the resulting bounds extend to repeated...