Faculty Area Research (FARS)

Past Events

Faculty Area Research (FARS)
Friday, February 2, 2024
4:00 PM
|
384H
Yakov Eliashberg (Stanford)

Abstract: I will explain how the  count of algebraic curves in the complex projective plane can be reduced to a solution of a Hamilton-Jacobi equation.

Faculty Area Research (FARS)
Friday, November 17, 2023
4:00 PM
|
384H
Jonathan Winghong Luk (Stanford)

Abstract: I will discuss Boltzmann's celebrated H theorem for collisional kinetic equations such as the Boltzmann equation or the Landau equation. I will explain what it does and does not imply for the nonlinear flow and describe some open problems.

Faculty Area Research (FARS)
Friday, November 3, 2023
4:00 PM
|
384H
Otis Chodosh (Stanford)

Abstract: The "area" functional takes a submanifold of a Riemannian manifold and returns its area. A natural idea is to try to use Morse theory to find critical points of the area functional (of considerable interest to geometers, these are called minimal submanifolds). I will describe what we…

Faculty Area Research (FARS)
Friday, October 20, 2023
4:00 PM
|
384H
Mohammed Abouzaid (Stanford)

Inspired by physicist, Atiyah and Segal initiated an area of mathematics which is the sometimes called "topological field theory." While this can be a useful way of thinking about algebra using pictures, it is essentially impossible to produce genuine new examples using only topology. The…

Faculty Area Research (FARS)
Friday, April 14, 2023
3:15 PM
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384H
Amir Dembo (Stanford)

In this talk, based on joint works with Nicholas Cook, Huy Tuan Pham and Sohom Bhattacharya, I will discuss recent developments in the study of the upper tails for counts of several fixed subgraphs in a large sparse random graph (such as Erdős–Rényi or uniformly d- regular). These…

Faculty Area Research (FARS)
Friday, February 24, 2023
4:00 PM
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383N
Persi Diaconis (Stanford)

This is the story of understanding 'things' by asking 'what does a typical thing 'look like'. The things can be finite (permutations, elements of a finite group, graphs, or integers between 1 and N). They can also be infinite (random matrix theory asks about the eigenvalues of 'typical…

Faculty Area Research (FARS)
Friday, February 10, 2023
4:00 PM
|
383N
Xinwen Zhu (Stanford)
I will give a flavor of geometric representation theory by discussing one particular object: equivariant homology of affine Grassmannian (which is some infinite-dimensional algebro-geometric object). I will discuss its relation to topology (Bott periodicity), mathematical physics (Coulomb…
Faculty Area Research (FARS)
Friday, February 3, 2023
4:00 PM
|
383N
Andras Vasy (Stanford)
Microlocal analysis is about localizing in phase space, i.e. physically in combined position and momentum, and mathematically in the cotangent bundle of an underlying space (the position space). For instance, one can ask where a function, or distribution, is singular (by various measures) and…
Faculty Area Research (FARS)
Friday, January 27, 2023
4:00 PM
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383N
Rafe Mazzeo (Stanford)
Faculty Area Research (FARS)
Friday, December 2, 2022
4:00 PM
|
383N
Maggie Miller (Stanford)

The study of knotted surfaces in 4-manifolds is analogous to that of knotted circles in 3-manifolds. The motivations are similar: understanding cobordisms and geometric structures, but additionally motivated by the relationship between surfaces and exotic smooth structures on 4-manifolds. (Un?)…