Previous Conferences & Workshops

Feb
21
2023

Special Year Research Seminar

Restriction of Exponential Sums to Hypersurfaces
2:00pm|Simonyi 101 and Remote Access

The last decade has witnessed a revolution in the circle of problems concerned with proving sharp moment inequalities for exponential sums on tori. This has in turn led to a better understanding of pointwise estimates, but this topic remains...

Feb
21
2023

Computer Science/Discrete Mathematics Seminar II

From Robust Sublinear Expanders to Additive Number Theory via Rainbow Cycles
10:30am|Simonyi Hall 101 and Remote Access

Robust sublinear expansion represents a fairly weak notion of graph expansion which still retains a number of useful properties of the classical notion. The general idea behind it has been introduced by Komlós and Szemerédi around 25 years ago and...

Feb
20
2023

Joint IAS/Princeton Arithmetic Geometry Seminar

Diffracting prismatic envelopes
Arthur Ogus
4:30pm|Princeton University, Fine Hall 314

Let X/k be a smooth scheme over a perfect field k of characteristic p > 0 and let W be the Witt ring of k. Inspired by Drinfeld’s “stacky” approach to prismatic cohomology, Bhatt, Lurie, and others have shown that a lifting of X/k to W induces a...

Feb
20
2023

Computer Science/Discrete Mathematics Seminar I

Induced Subgraphs and Tree Decompositions
11:15am|Simonyi 101 and Remote Access

Tree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition of bounded “width”. Exhibiting a particular kind of a tree...

Feb
17
2023

Probability Seminar

Topic #1: SLE/GFF Coupling, Zipping Up, and Quantum Length, Topic #2: The Liouville conformal field theory quantum zipper
Greg Lawler and Morris Ang
10:15am|Simonyi 101 and Remote Access

Speaker #1 (Lawler): I will present a somewhat novel approach to known relationships (in works of Sheffield, Miller, and others) between SLE and GFF, the exponential of the GFF (quantum length/area), and Minkowski content of paths. The Neumann GFF...

Feb
17
2023

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

Hypersurface Singularities and Spectral Invariants
Yusuke Kawamoto
9:15am|Remote Access

We discuss the relation between hypersurface singularities (e.g. ADE, $\widetilde{E}_{6},\widetilde{E}_{7},\widetilde{E}_{8}$, etc) and spectral invariants, which are symplectic invariants coming from Floer theory.

Feb
16
2023

Joint IAS/PU Number Theory Seminar

An Euler System for the Symmetric Square of a Modular Form
Chris Skinner
4:30pm|Simonyi Hall 101 and Remote Access

I will explain a new construction of an Euler system for the symmetric square of an eigenform and its connection with L-values. The construction makes use of some simple Eisenstein cohomology classes for Sp(4) or, equivalently, SO(3,2). This is an...

Feb
15
2023

Mathematical Conversations

Kahler Space Forms and Symplectomorphisms
6:00pm|Birch Garden, Simons Hall

In this talk, I will discuss a possible symplectic version of Smale's conjecture on diffeomorphism groups. We will provide some evidence for it and suggest some preliminary questions about complex hyperbolic manifolds to explore. 

Feb
15
2023

Analysis and Mathematical Physics

Degenerate Dispersion and Illposedness for Generalized SQG Equations
Dr. In-Jee Jeong
3:00pm|Simonyi Hall 101 and Remote Access

Given a linear equation whose principal term is given by a degenerate dispersive pseudo-differential operator, we provide a framework for the construction of degenerating wave packet solutions. As an application, we prove strong ill-posedness for...

Feb
15
2023

Special Year Learning Seminar

Strong Stationarity and Multiplicative Functions
10:30am|Simonyi 101 and Remote Access

The notion of strong stationarity was introduced by Furstenberg and Katznelson in the early 90's in order to facilitate the proof of the density Hales-Jewett theorem. It has recently surfaced that this strong statistical property is shared by...