Random constraint satisfaction problems encode many interesting
questions in random graphs such as the chromatic and independence
numbers. Ideas from statistical physics provide a detailed
description of phase transitions and properties of these...
I will explain basic tools for thinking about derived categories of
coherent sheaves on rigid analytic spaces that are conducive to the
study of homological mirror symmetry. A particular focus will be
placed on the case of curves, and on methods...
I will discuss some recent results on Serre weight conjectures in
dimension $> 2$, based on the study of certain tame type
deformation rings. This is joint work with (various subset of) D.
Le, B. Levin and S. Morra.