Seminars Sorted by Series

Workshop on Topology: Identifying Order in Complex Systems

Apr
16
2021

Workshop on Topology: Identifying Order in Complex Systems

From geometry to topology: inverse theorems for distributed persistence
Paul Bendich
3:00pm|Remote Access

What is the "right" topological invariant of a large point cloud $X$? Prior research has focused on estimating the full persistence diagram of $X$, a quantity that is very expensive to compute, unstable to outliers, and far from a sufficient...

Apr
30
2021

Workshop on Topology: Identifying Order in Complex Systems

Twisted topological tangles or: the knot theory of knitting
Elisabetta Matsumoto
2:00pm|Remote Access

The Picard group of the stable module category of a finite group plays a role in many parts of modular representation theory. It was calculated when the group is an abelian $p$-group, by pioneering work of Dade in the 1970's, and a classification...

Workshop on Turbulence

Dec
11
2020

Workshop on Turbulence

Status of experiments and simulations on scaling problems in turbulence
1:30pm|Virtual Event via Zoom

Abstract: We present an elementary summary of known results, and open questions, on scaling problems in hydrodynamic turbulence in three dimensions. The goal is to provide some background for the two talks to follow, and summarize Victor Yakhot's...

Dec
11
2020

Workshop on Turbulence

Fluid Turbulence, Thermal Noise and Spontaneous Stochasticity
Gregory Eyink
2:30pm|Virtual Event via Zoom

Abstract: I will explain that incompressible Navier-Stokes is the wrong equation to describe turbulence in low Mach number molecular fluids because it neglects the effects of thermal noise. There should, in fact, be strong effects of thermal noise...

Dec
11
2020

Workshop on Turbulence

Turbulence as Gibbs Statistics of Vortex Sheets
Alexander Migdal
3:30pm|Virtual Event via Zoom

Abstract: We study the vortex sheet solutions of the Euler equation, which correspond to the tangent discontinuity of the velocity field.

We observe that stationary flows correspond to the Hamiltonian's minimization by the tangent discontinuity...

Yang-Mills Theory for Mathematicians