Previous Conferences & Workshops

Mar
22
2021

Analysis Seminar

A stationary set method for estimating oscillatory integrals
Ruixiang Zhang
4:30pm|Remote Access

Given a polynomial $P$ of constant degree in $d$ variables and consider the oscillatory integral \[I_P = \int_{[0,1]^d} e(P(\xi)) \, \mathrm{d}\xi.\] Assuming the number $d$ of variables is also fixed, what is a good upper bound of $|I_P|$? In this...

Mar
22
2021

Members' Colloquium

String topology and the intersection product
Nathalie Wahl
2:00pm|Simonyi Hall 101 and Remote Access

String topology, as introduced by Chas and Sullivan 20 years ago, is a product structure on the free loop space of a manifold that lifts the classical intersection product from the manifold to its loop space. I’ll explain how both a product and a...

Mar
22
2021

Computer Science/Discrete Mathematics Seminar I

The abstract chromatic number
Leonardo Nagami Coregliano
11:15am|Remote Access - see Zoom link below

What edge density of a graph guarantees that that it will contain a particular subgraph? Or one of a given family $\mathcal{F}$ of subgraphs? The celebrated Erdős--Stone--Simonovits Theorem characterizes the maximum edge density in $\mathcal{F}$...

Mar
19
2021

Workshop on Topology: Identifying Order in Complex Systems

Physics of functional networks
Henrik Ronellenfitsch
2:00pm|Remote Access

We are surrounded by functional networks, from fluid transport in plants and animals to macroscopic elastic scaffoldings and microscopic crystals and materials, and engineered power grids. Often, such networks can be seen as optimized for their...

Mar
18
2021

Joint IAS/Princeton University Number Theory Seminar

The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties
Will Sawin
4:30pm|Remote Access

Faltings proved the statement, previously conjectured by Shafarevich, that there are finitely many abelian varieties of dimension $n$, defined over a fixed number field, with good reduction outside a fixed finite set of primes, up to isomorphism. In...

Mar
18
2021

Quantum Groups Seminar

Algebraic groups and all in characteristic p
Ivan Loseu
4:00pm|Remote Access

The talk discusses basics of quantum groups at roots of unity with motivation from modular representation theory.

Mar
17
2021

Mathematical Conversations

Embedded Contact Homology of Prequantization Bundles
Jo Nelson
5:30pm|Remote Access

Embedded Contact Homology (ECH) is a Floer type invariant due to Hutchings. This talk provides a gentle overview of ECH (in part through a video of the Hopf fibration) and sketches why ECH of a prequantization bundle over a Riemann surface is...

Mar
17
2021

Geometric and Modular Representation Theory Seminar

Affine Hecke category and noncommutative Springer resolution
Roman Bezrukavnikov
3:00pm|Simonyi Hall 101 and Remote Access

I will start with a few comments on the proof of the equivalence presented in the previous talks. Then I will focus on the description of the abelian category of perverse sheaves on the affine flag variety on the coherent side, where the answer is...