Seminars Sorted by Series

A Celebration of the Life and Work of Armand Borel

A Conference on the Occasion of the Sixty-First Birthday of Pierre Deligne

Adventures of the Mind

Algebraic and Differential Geometry, A Conference in Celebration of the 70th Birthday of Phillip Griffiths

Algebraic Groups and Convexity Seminar

Jan
27
2005

Algebraic Groups and Convexity Seminar

Equivariant localization and quot schemes
8:00pm|S-101

Equivariant localization provides a powerful method for explicitly computing equivariant and ordinary cohomology rings of spaces with large symmetry groups. One of the most useful localization formulas, due to Goresky-Kottwitz-MacPherson, describes...

Algebro-Geometric Derived Categories and Applications

Feb
19
2008

Algebro-Geometric Derived Categories and Applications

D-Modules and Loop Spaces
2:00pm|S-101

Equivariant localization relates the geometry of a space to the geometry of the fixed points of a group action. A categorified application of this technique allows one to recover D-modules on a smooth space from coherent sheaves on its loop space...

Feb
26
2008

Algebro-Geometric Derived Categories and Applications

Character Sheaves and Real Groups
2:00pm|S-101

I will discuss some applications of ideas from derived algebraic geometry (DAG) to representation theory in joint work with David Nadler. First I'll review the theory of Drinfeld centers of tensor categories and its generalization to derived...

Apr
29
2008

Algebro-Geometric Derived Categories and Applications

Categorification of quantum groups and Floer theory
Hao Zheng
2:00pm|S-101

This talk is concerned with categorification of quantum Kac-Moody algebras and their integrable representations. First, I show how to fulfill the task by using sheaf theory. Then I will argue that the constructions could be well understood and...

May
07
2008

Algebro-Geometric Derived Categories and Applications

Representations of Rational Cherednik Algebras and Miracles of Science
10:30am|S-101

I will report on a work in progress joint with Andrei Okounkov. We extend the methods developed in an earlier work with Mirkovic and Rumynin on modular representations of semi-simple Lie algebras to representation of symplectic reflection algebras...

Allen-Cahn/Ginzburg-Landau Reading group

Allen-Cahn/Ginzburg-Landau Reading Group

Analysis & Mathematical Physics

Oct
05
2022

Analysis & Mathematical Physics

Lipschitz Rigidity for Scalar Curvature
4:30pm|Simonyi 101 and Remote Access

Lower scalar curvature bounds on spin Riemannian manifolds exhibit remarkable rigidity properties determined by spectral properties of Dirac operators. For instance, a fundamental result of Llarull states that there is no smooth Riemannian metric on...

Oct
12
2022

Analysis & Mathematical Physics

Density Lower Bounds for Topologically Non-Trivial Minimal Cones
4:30pm|Simonyi 101 and Remote Access

I will discuss how to use mean curvature flow to give nearly optimal lower bounds on the density of topologically non-trivial minimal hypercones in low dimensions. This compliments work of Ilmanen-White who gave analogous bounds for topologically...

Oct
19
2022

Analysis & Mathematical Physics

On the Stability of the Fractional Caffarelli-Kohn-Nirenberg Inequality
4:30pm|Simonyi 101 and Remote Access

In this talk I will present a general framework to establish the stability of  inequalities of the form >= F(u); where L is a positive linear operator and F is a 2-homogeneous nonlinear functional.

We will then see how this framework can be...

Nov
02
2022

Analysis & Mathematical Physics

Geometric Measure Theory on Non Smooth Spaces with Lower Ricci Curvature Bounds
Daniele Semola
4:30pm|Simonyi 101 and Remote Access

There is a celebrated connection between minimal (or constant mean curvature) hypersurfaces and Ricci curvature in Riemannian Geometry, often boiling down to the presence of a Ricci term in the second variation formula for the area. The first goal...

Nov
16
2022

Analysis & Mathematical Physics

Branched Regularity Theorems for Stable Minimal Hypersurfaces Near Classical Cones of Density Q+1/2
4:30pm|Simonyi 101 and Remote Access

The presence of branch points and so-called density gaps heavily complicates the regularity theory for minimal submanifolds or, more precisely, stationary integral varifolds. Density gaps illustrate a mismatched symmetry between nearby varifolds...

Nov
30
2022

Analysis & Mathematical Physics

Decay for the Teukolsky Equation on Subextremal Kerr Black Holes
Rita Teixeira da Costa
3:00pm|Simonyi 101 and Remote Access

The Teukolsky equation is one of the fundamental equations governing linear gravitational perturbations of the Kerr black hole family as solutions to the vacuum Einstein equations. We show that solutions arising from suitably regular initial data...

Dec
07
2022

Analysis & Mathematical Physics

Three Things About Polynomials
4:30pm|Simonyi 101 and Remote Access

I will talk about three interesting ingredients that goes into the results on H\"{o}rmander type operators I presented at Princeton (joint with Shaoming Guo and Hong Wang). They are all related to algebraic or geometric properties of multivariate...