Xueqing Wen: Parabolic Hitchin maps and their generic fiber

Abstract: I will talk about the parabolic version of BNR correspondence, which relates certain parabolic Higgs bundles to the line bundles on the normalized spectral curve. As a consequence, we can give a modular interpretation of generic fiber of the parabolic Hitchin map, which can be applied to study the Langlands duality between parabolic Hitchin systems If time permits, I will also talk about some properties of parabolic global nilpotent cone, which is the most special fiber of the parabolic Hitchin map. This is a joint work with Xiaoyu Su and Bin Wang.