School of Mathematics Seminars and Lectures

Bialgebraicity in Riemann-Hilbert and other algebraization results

by Dr. Abhishek Oswal (Caltech)

Monday, August 22, 2022 from to (Asia/Kolkata)
at A369
Description
Abstract: In this talk, we describe an o-minimal proof of a classical
result of Carlos Simpson characterizing the subvarieties of the rank one
Betti moduli space attached to a smooth projective algebraic variety whose
image under the Riemann-Hilbert correspondence is also an algebraic
subvariety of the de Rham moduli space. I shall also describe a p-adic
analogue of this result.

If time permits, I shall talk about ongoing work with Ananth Shankar and
Anand Patel on a p-adic algebraization result for analytic maps into
Shimura varieties.