Colloquium Seminar
Friday, December 2, 2022, 12:00pm, Gross Hall 330, The Ahmediah Family Grand Hall
Simion Filip (U Chicago, Mathematics)
Anosov groups and Hodge theory
Abstract:- Discrete subgroups of Lie groups are much-studied and appear throughout mathematics. Anosov subgroups form a class which is intermediate between lattices in higher rank semisimple Lie groups and Fuchsian subgroups of SL(2,R) that uniformize Riemann surfaces. After providing the necessary background, I will explain how Anosov groups can arise as monodromies of families of algebraic manifolds and how this phenomenon is related to Hodge theory. I will then describe some uniformization results for "non-classical" variations of Hodge structure and explain some (simple to state) consequences for the algebraic geometry of the underlying family.
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