Seminars & Colloquia Calendar

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Complex Analysis and Geometry Seminar

Torelli map and rigidity

Saikee Yeung (Purdue)

Location:  Zoom
Date & time: Friday, 22 April 2022 at 10:30AM - 11:30AM

Abstract: The classical Abel-Jacobi map induces the Torelli map from a moduli space of curves of genus \(ggeq 2\) into the corresponding Siegel modular variety. The goal of the talk is to explain some geometric problems related to the mapping, focusing on a conjecture of Oort on scarcity of totally geodesic subvarieties in the Torelli image.  We will also explain its relation to a rigidity problem of representation of a lattice of semi-simple Lie groups in a mapping class group.  Some new approaches will be explained. 

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