Speaker James D. Lewis is Professor at University of Alberta. His current research interests are in regulators of (higher) algebraic cycles into Hodge cohomology theories (such as Beilinson's absolute Hodge cohomology). With his colleague Matt Kerr, together initially with Stefan Mueller-Stach, they provided over the course of 10 years an explicit description of the Beilinson-Bloch regulators i...
Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduced by Hitchin more than 35 years ago. Starting with the case in which G is the circle, and the 19th century Abel-Jacobi's theory, we will move to the case of G=SL(2,R) and the relation to Teichmüller t...
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