On the geometric P = W conjecture
Mirko Mauri (University of Michigan)
28-Oct-2021, 11:00-13:00 (2 years ago)
Abstract: The geometric P = W conjecture is a conjectural description of the asymptotic behavior of a celebrated correspondence in non-abelian Hodge theory. In a joint work with Enrica Mazzon and Matthew Stevenson, we establish the full geometric conjecture for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus: this is the first non-trivial evidence of the conjecture for compact Riemann surfaces. To this end, we employ non-Archimedean, birational and degeneration techniques to study the topology of the dual boundary complex of certain character varieties.
algebraic geometrynumber theory
Audience: researchers in the topic
Algebraic Geometry and Number Theory seminar - ISTA
Organizers: | Tamas Hausel*, Tim Browning* |
*contact for this listing |
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