Past Events
We present results on the maximal dimension of compact subvarieties of the moduli space of abelian varieties and of moduli of complex curves of compact type. Equivalently, this is the maximal dimension of a compact complex parameter space for a maximally varying family of abelian varieties/…
Act III: Convex meets Complex
Once convexity, duality and volume appear on stage, the Mahler Conjectures are inevitable. These conjectures predict the extremizers of the volume of a convex body times the volume of its dual. They date from the 1930's and are still largely…
- Bergman Lecture
Act III: Convex meets Complex
Once convexity, duality and volume appear on stage, the Mahler Conjectures are inevitable. These conjectures predict the extremizers of the volume of a convex body times the volume of its dual. They date from the 1930's and are still largely…
Abstract: Once convexity, duality and volume appear on stage, the Mahler Conjectures are inevitable. These conjectures predict the extremizers of the volume of a convex body times the volume of its dual. They date from the 1930's and are still largely open.
This ``…
A function f from a finite vector space over the field on two elements to itself is linear if f(x+y) = f(x) + f(y) for all pairs (x,y). Suppose f is "a bit linear" -- say, f(x+y)=f(x)+f(y) for 1% of pairs (x,y). What can you say about f? Must it be closely related to an actually…
It is known from general relativity that axisymmetric stationary black holes can be reduced to axisymmetric harmonic maps into the hyperbolic plane H^2, while in the Riemannian setting, 4d Ricci-flat metrics with torus symmetry can also be locally reduced to such harmonic maps satisfying a…
Transport by fluid flow can provide one of the less understood regularization mechanisms in PDE. In this talk, I will focus on the 2D Keller-Segel equation for chemotaxis set on a general domain and coupled via buoyancy with the fluid obeying Darcy's law - a much studied model of the…
In this talk I will discuss the problem of linear stability of traveling Maxwellians for Landau equation with very soft potentials (including the Coloumbic case). I will contrast our case for very soft potentials with the case of moderately soft potentials. In addition, I will discuss how the…