Previous Conferences & Workshops

Dec
19
2024

Special Year Seminar II

Chow Functions for Partially Ordered Sets
10:00am|Simonyi 101

In a landmark paper in 1992, Stanley developed the foundations of what is now known as the Kazhdan--Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, he associates special functions called KLS polynomials. This unifies and puts a...

Dec
18
2024

Special Year Seminar I

Singular Points on Positroid Varieties and Physics Applications
Joseph Fluegemann
2:00pm|Simonyi 101

We heard last week in Daoji's talk about positroid varieties, which are subvarieties in the Grassmannian defined by cyclic rank conditions, and which are related to Schubert varieties. In this talk, we will provide a criterion for whether positroid...

Dec
17
2024

Symplectic Geometry Seminar

Contact topology meets thermodynamics
Leonid Polterovich
1:00pm|Simonyi 101 and Remote Access

I will discuss the occurrence of some notions and results from contact topology in the context of equilibrium and non-equilibrium thermodynamics. Based on joint works with Michael Entov and Lenya Ryzhik.

Dec
17
2024

Computer Science/Discrete Mathematics Seminar II

Problems in Extremal Combinatorics and Connections with Multiparty Communication Complexity
10:30am|Simonyi 101 and Remote Access

In this talk we will discuss some recent progress on some questions in extremal combinatorics and in multiparty communication complexity.

We will also discuss some general connections between the two fields, emphasizing how certain problems (e.g...

Dec
13
2024

Bourgain Lecture

Additive Combinatorics and Pointwise Ergodic Theory
Sarah Peluse
2:00pm|Simonyi 101 and Remote Access

In 1975, Szemer\'edi proved that any subset of the natural numbers with positive upper density must contain arbitrarily long finite arithmetic progressions. Szemer\'edi's original argument was purely combinatorial, and then Furstenberg gave an...

Dec
13
2024

Computer Science/Discrete Mathematics Seminar II

Grid-norm Regularity for Somewhat Dense Graphs, and Some Applications
10:30am|Simonyi 101 and Remote Access

In 2023, Raghu Meka and I proved a substantially improved bound on the size of the smallest set of integers in [N] which contains no 3-term arithmetic progression. Since then, it has become clear that the main new ideas from that work are in fact...

Dec
13
2024

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Using h-Cobordisms to Detect Non-Trivial Homotopy Groups in Spaces of Legendrian
Thomas Kragh
9:15am|Remote Access

In this talk I will first define the space of h-cobordisms associated to a manifold M. This space is known to have many non-trivial homotopy groups and in stable range (they can often be computed using Waldhausen's algebraic K-theory of spaces). I...

Dec
12
2024

Joint PU/IAS Number Theory

Inductive Methods for Counting Number Fields
Brandon Alberts
3:30pm|Simonyi 101 and Remote Access

We will discuss an inductive approach to determining the asymptotic number of G-extensions of a number field with bounded discriminant, and outline the proof of Malle's conjecture in numerous new cases. This talk will include discussions of several...

Dec
12
2024

Special Year Seminar II

Kahler Packages on Valuations on Convex Sets and Their Applications
Semyon Alesker
10:00am|Simonyi 101

A valuation is a finitely additive measure on the class of all convex compact subsets of $R^n$. Over the past two decades, a number of structures has been discovered on the space of translation invariant smooth valuations. Recently, these findings...