Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Apr
08
2025

IAS Amplitudes Group Meeting

Deformations of the Moduli Space of Polygons and the Nonlinear Sigma Model
2:30pm|Bloomberg Lecture Hall (IAS)

Abstract: A recursive extension of $\phi^3$ amplitudes was discovered in 2019 by CEGM.  The first layer is a familiar integral over the positive moduli space $M^+_{0,n}$; the second layer is an integral over the moduli space of polygons in the...

Apr
09
2025

IAS Physics Group Meeting

Modular-Invariant Random Matrix Theory and AdS3 Wormholes
Gabriele Di Ubaldo
11:00am|Bloomberg Lecture Hall (IAS)

Abstract: We develop a non-perturbative definition of RMT2: a generalization of random matrix theory that is compatible with the symmetries of two-dimensional conformal field theory. Given any random matrix ensemble, its n-point spectral...

Apr
09
2025

Special Year Seminar I

KP Solitons, Tropical Curves, and Voronoi Cells
2:00pm|Simonyi 101

The Kadomtsev-Petviashvili (KP) Equation has deep connections to algebraic curves, with solutions constructed from Riemann theta functions in the style of Krichever. As a curve undergoes tropical degeneration, its theta function simplifies to a...

Apr
09
2025

Mathematical Conversations

Aperiodic Square Tilings and Lattices in Products of Trees
6:00pm|Simons Hall Dilworth Room

We will consider finite collections of squares tiles, and ask when we can tile the whole plane in an interesting way. This question is related to the algebraic structure of ‘lattices in products of trees’, which are discrete groups acting...

Apr
10
2025

Special Year Seminar II

Measures on Combinatorial Objects
Andrew Snowden
10:00am|Simonyi 101

Suppose given a class of finite combinatorial structures, such as graphs or total orders. Nate Harman and I recently introduced a notion of measure in this context: this is a rule assigning a number to each structure such that some axioms are...

Apr
10
2025

Joint PU/IAS Number Theory

There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2
David Zywina
3:30pm|Simonyi 101 and Remote Access

For an elliptic curve E defined over Q, the Mordell-Weil group E(Q) is a finitely generated abelian group. We prove that there are infinitely many elliptic curves E over Q for which E(Q) has rank 2. Our elliptic curves will be given by explicit...

Apr
11
2025

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

Three 20 Minute Research Talks
Alexia Corradini , Ibrahim Trifa and Stefan Matijević
9:15am|Remote Access

Alexia Corradini (University ofCambridge) :The Lagrangian Ceresa Cycle

In algebraic geometry, the Ceresa cycle provided one of the first examples of a nullhomologous cycle which is not algebraically trivial. I will explain how one can obtain a...