Аннотация:
In this talk, we will first talk about generic fibers of
parabolic Hitchin maps. In particular, we show that they are torsors
over dual Abelian varieties when the structure groups are SLn/PGLn. Then
we will follow Groechenig-Wyss-Ziegler's strategy to prove the
topological mirror symmetry between parabolic SLn/PGLn Hitchin systems
via p-adic integration. This is joint work with Xueqing Wen and Xiaoyu
Su.