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.
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