Previous Conferences & Workshops

Mar
31
2025

Computer Science/Discrete Mathematics Seminar I

Improved Private Information Retrieval Schemes from Matching Vectors and Derivatives
Swastik Kopparty
10:30am|Simonyi Hall 101 and Remote Access

Private Information Retrieval (PIR) is a method for a user to interact with t non-colluding servers and read some entry of a database of size n without revealing to the servers anything about which entry of the database was read. After a long line...

Mar
28
2025

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

Persistence of Unknottedness of Lagrangian Intersections
Yin Li
9:15am|Remote Access

The double bubble plumbing, first studied by Smith and Wemyss, is a Stein neighborhood of two Lagrangian 3-spheres intersecting cleanly along an unknotted circle in some 6-dimensional symplectic manifold. Depending on the identification of the...

Mar
27
2025

Joint PU/IAS Number Theory

Algebraic Integers of Bounded Height and Given Galois Group
Andy O’Desky
3:30pm|Simonyi 101 and Remote Access

How many algebraic integers of bounded height have a minimal polynomial with a given Galois group? One approach to this problem is via Malle's conjecture. In this talk we will discuss an alternative approach using a construction with the Galois...

Mar
27
2025

Special Year Seminar II

Expressive Curves
Sergey Fomin
11:00am|Simonyi 101

A real plane algebraic curve C is called expressive if its defining polynomial has the smallest number of critical points allowed by the topology of the set of real points of C. We give a necessary and sufficient criterion for expressivity (subject...

Mar
27
2025

Special Year Seminar II

Phylogenetic Trees and the Moduli of n Points
Herwig Hauser
10:00am|Simonyi 101

We present a combinatorial approach to the Deligne-Mumford-Knudsen compactification of the moduli space of n distinct points on the projective line $P^1$. The idea is to choose a totally symmetric embedding of the orbits of generic points into a...

Mar
26
2025

Mathematical Conversations

Mind Your q’s — Quantum Rules on the Grassmannian
6:00pm|Simons Hall Dilworth Room

The theory of quantum cohomology was developed in the early 1990s by physicists working in the field of superstring theory.

Mathematicians then discovered applications to enumerative geometry, counting the number of rational curves of a given degree...

Mar
26
2025

Connections to Schubert Calculus Learning Seminar

Kraskiewicz-Pragacz Modules, Magyar’s Configuration Varieties, and Schubert’s Space of Triangles
3:30pm|Simonyi 101

I’ll describe a circle of ideas that links Schubert polynomials with representation theory, via some configuration spaces studied by Magyar (and which include Schubert’s famous space of complete triangles). Most of the geometric connections were...

Mar
26
2025

Special Year Seminar I

Incidence Geometry and Tiled Surfaces
Sergey Fomin
2:00pm|Simonyi 101

We show that various classical theorems of linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a general result that involves a tiling of a closed oriented surface by...

Mar
25
2025

Joint IAS/PU Groups and Dynamics Seminar

Progress Around the Boone-Higman Conjecture
Matthew Zaremsky
4:30pm|Simonyi 101

The Boone-Higman conjecture (1973) predicts that a finitely generated group has solvable word problem if and only if it embeds in a finitely presented simple group. The "if" direction is true and easy, but the "only if" direction has been open for...

Mar
25
2025

Analysis and Mathematical Physics

Fractional Parabolic Theory as a High-dimensional Limit of Fractional Elliptic Theory
Mariana Smit Vega Garcia
2:30pm|Simonyi Hall 101 and Remote Access

Parallels between elliptic and parabolic theory of partial differential equations have long been explored. In particular, since elliptic theory can be seen as a steady-state version of parabolic theory, if a parabolic estimate holds, then by...