Title: Cohomology of vector bundles on flag varieties and deformation rings
Speaker: Ting Xue (University of Helsinki)
Abstract: In a recent paper Snowden proposed a method of studying deformations of Galois representations and illustrated the method in the case of the trivial two-dimensional representation. In joint work with Vilonen, we set out to extend the method to higher dimensions. The question was brought to our attention by Frank Calegari. It leads to questions about cohomology of certain vector bundles on flag varieties. In this talk we will give an introduction to the cohomological method, formulate some conjectures, and explain partial results.