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.
Columbia University; Member, School of Mathematics
September 23, 2016
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 that help get around problems of coherence in derived constructions.