Events and Activities

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To contact the events office, please call (609) 951-4595 or email events@ias.edu

May
02
2024

What is...?

What are rational and Du Bois singularities?
Wanchun Shen
1:00pm|Simonyi 101 and Remote Access

We give a gentle introduction to rational and Du Bois singularities in algebraic geometry. Through examples, we will see how birational geometry comes into play with the theory of differential operators. Time permitting, we discuss the sheaf...

May
02
2024

Joint PU/IAS Number Theory

Relative Langlands and Endoscopy
Spencer Leslie
4:30pm|*Princeton University, Fine 214*

Spherical varieties play an important role in the study of periods of automorphic forms. But very closely related varieties can lead to very distinct arithmetic problems. Motivated by applications to relative trace formulas, we discuss the natural...

May
03
2024

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

Symplectic Structures from Almost Symplectic Structures
Agustin Moreno
9:15am|Remote Access

In this talk, we will consider a stabilized version of the fundamental existence problem of symplectic structures (cf. Open Problem 1 in McDuff & Salamon). Given a formal symplectic manifold, i.e. a closed manifold $M$ with a non-degenerate 2-form...

May
03
2024

Analysis and Mathematical Physics

Some Analytic Applications of the Polynomial Method
Bodan Arsovski
2:30pm|Simonyi Hall 101 and Remote Access

This talk will be about the polynomial method and its applications to questions that have traditionally been tackled by Fourier analysis, with emphasis on the Kakeya conjecture, the cap set problem, arithmetic progressions in dense sets, and the...

May
03
2024

Condensed Learning Seminar

Grothendieck-Riemann-Roch, Part II
Dmitry Kubrak
2:30pm|Princeton University, Fine 214

Prove the Grothendieck–Riemann–Roch theorem: first prove [And23, Satz 6.12] and then explain the sketch of the proof on [And23, p. 38] by proving the relevant statements from the second half of [CS22, Lecture 15].

May
06
2024

Symplectic Geometry Seminar

Symplectic Aspects of the Hilbert-Smith Conjecture and $p$-adic Actions.
Egor Shelukhin
12:30pm|Simonyi 101 and Remote Access

I will discuss a recent proof of new cases of the Hilbert-Smith conjecture for actions by homeomorphisms of symplectic nature. In particular, it rules out faithful actions of the additive $p$-adic group in this setting and provides further...

May
10
2024

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

Invariant Sets and Hyperbolic Periodic Orbits
Viktor Ginzburg
9:15am|Remote Access

The presence of hyperbolic periodic orbits or invariant sets often has an affect on the global behavior of a dynamical system. In this talk we discuss two theorems along the lines of this phenomenon, extending some properties of Hamiltonian...