Past Events
In the first half of the talk, we'll learn about operads and operad algebras and what it means to say "operads define a syntax and operad algebras…
Abstract: There is a famous analogy between the statistics of the prime factors of a random integer, of the irreducible factors of a random polynomial over a finite field, and of the cycles of a random permutation. This analogy allows us to transfer techniques and intuition from one setup to the…
We consider the Glauber dynamics (also called Gibbs sampling) for sampling from a discrete high-dimensional space, where in each step one variable is chosen uniformly at random and gets updated conditional on all other variables. We show an optimal mixing time bound for the Glauber…
The question of whether derived equivalences determine a variety has been studied widely. Antieau, Krashen and Ward (AKW) studied the question of when two genus 1 curves are derived equivalent. A gerbey curve is a G_m gerbe over a usual curve. In joint work with Libby Taylor, we…
Abstract: A long-standing open problem at the intersection of QFT and General Relativity consists in determining the final quantum state arising from the collapse into a black hole and to describe its thermodynamical properties. As a simpler model, we consider massless Dirac fields on…
Abstract: This expository talk will concern various aspects of the
stochastic six-vertex model. In particular, we will describe what sorts of
asymptotic questions about this model integrable probabilists are
interested in. Moreover, we will try to (at least partially) outline how…
Abstract: In 1904, Prandtl proposed a boundary layer theory to characterize the inviscid limit for a steady Navier-Stokes flow in the presence of non slip boundary condition. In this talk, I will survey recent progress to establish the validity for such a steady Prandtl layer expansion from a…
We will talk about our recent construction of symplectic
Lefschetz fibrations with arbitrary signatures and spin type, along with
novel applications to the geography of symplectic 4-manifolds and
speculations on exotically knotted surfaces in the 4-sphere. This is joint
work with…