Title: A finiteness result of representations of the Nori fundamental group shceme
Speaker: 易晓冬（Peking University）
Time: Monday, September 21, 2026, 14:00-15:00
Venue: Gewu Building, Room 315
Abstract: The Nori fundamental group scheme of an algebraic variety classifies finite torsors. It is a conjecture of Gasbarri, saying that for the Nori fundamental group scheme of a curve over a number field, there are only finitely many isomorphism classes of rational representations of given rank. We discuss a proof of this conjecture, which works for an arbitrary smooth projective variety over a sub-p-adic field. The proof is completely different from Gasbarri's original treatment for some partial results, and we pose some questions which may lead to a new proof of the conjecture in the same spirit of Gasbarri's strategy.
