Past Events
Hughes, Kim and I recently showed that for any n>1, there exists a pair of 3-dimensional genus-n solids in the 4-sphere with the same boundary, and that are homeomorphic relative to their boundary, but that do not become isotopic rel boundary even when their interiors are pushed into the 5-…
We will review the "usual paradigm" for a class of solvable lattice models including the six-vertex model and its generalizations. This attaches an element of a braided tensor category, such as the module category…
Liouville first passage percolation (LFPP) with parameter $\xi>0$ is the family of random distance functions on the plane obtained by integrating $e^{\xi h_\epsilon}$ along paths, where $h_\epsilon$ for $\epsilon>0$ is a smooth mollification of the planar Gaussian free field. Previous…
I will give an introduction to the moduli space of genus zero rubber stable maps to P^1, relative to 0 and infinity, with fixed ramification profiles. Then I will discuss two recent results on the topology of these moduli spaces. The first concerns a chamber structure for the classes of…
I will explain the difficulty in producing commutative ring spectra, and a way around it in the case of the bordism spectra we have been discussing. This will end the foundational general part of the lectures about bordism.
In this talk I will discuss work in progress in which we classify topological 4-manifolds with boundary and fundamental group Z, under some mild assumptions on the boundary. We apply this classification to provide an algebraic classification of…
We will discuss the problem of existence of a translation invariant probability measure on the spaces of harmonic and discreate harmonic functions. The existence of such measures on the space of continuous harmonic functions was proved by Weiss in the late 1990s. Recently Buhovsky, Glücksam,…