Oct 28, 2021

On the geometric P = W conjecture

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: October 28, 2021 | 1:00 pm – 3:00 pm
Speaker: Mirko Mauri, University of Michigan
Location: https://mathseminars.org/seminar/AGNTISTA

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.  

More Information:

Date:
October 28, 2021
1:00 pm – 3:00 pm

Speaker:
Mirko Mauri, University of Michigan

Location:
https://mathseminars.org/seminar/AGNTISTA

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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