Past Events

We show that the

* Goemans-Williamson inequality and rank-constrained positive semidefinite Grothendieck inequality in Theoretical Computer Science,

* Nesterov \pi/2-Theorem and Ben-Tal-Nemirovski-Roos 4/\pi-Theorem in Optimization,

* generalized Grothendieck…

In this talk I will discuss how to construct an object of the annular Bar-Natan category (rather, a completion thereof) which satisfies handle-slide invariance. This work is joint with Dave Rose and Paul Wedrich, and is intended to yield a simplification (and ultimately a chain-level refinement…

We study random geometric graphs on the unit sphere in the high-dimensional setting, where the dimension grows to infinity with the number of vertices. Our central question is: given such a graph, at which dimensions is it possible to identify the underlying geometry? As the dimension grows…

Abstract: I will introduce the notion of a flow multicategory, which
formally encodes the structure that arises when considering
holomorphic discs in Lagrangian Floer theory. Then I will indicate how to define a category of modules over a flow multicategory, as a category enriched in…

Abstract: We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimensional incompressible Euler equations. Specifically, we discuss whether steady states can be isolated, wandering for solutions starting nearby certain steady states, singularity…

The problem of counting vectors with given length in a lattice turns out to have much more structure than initially expected, and is connected with the theory of so-called automorphic forms. A geometric analogue of this problem is to count global sections of…

Abstract: Of the (2H+1)^n monic integer polynomials