Topological mirror symmetry for parabolic Higgs bundles


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March 23, 2021 9:00 pm - 10:00 pm
via Zoom Video Conferencing

Shiyu Shen - University of Toronto

I will present work on establishing the correspondence between the (appropriately defined) Hodge numbers of the moduli spaces of parabolic Higgs bundles for the structure groups SL_n and PGL_n, building on previous results of Groechenig-Wyss-Ziegler on the non-parabolic case. I will first describe the strategy used by Groechenig-Wyss-Ziegler, which combines p-adic integration with the generic duality between the Hitchin systems. Then I will talk about the new ingredients that come into play in the parabolic setting.