91社区

Event

Sam Payne (University of Texas at Austin)

Friday, November 3, 2023 15:30to16:30

TITRE / TITLE
Point counting over finite fields and the cohomology of moduli spaces of curves

R脡SUM脡 / ABSTRACT

Algebraic geometry studies solution sets of polynomial equations. For instance, over the complex numbers, one may examine the topology of the solution set, whereas over a finite field, one may count its points. For polynomials with integer coefficients, these two fundamental invariants are intimately related via cohomological comparison theorems and trace formulas for the action of Frobenius. I will present recent results regarding point counts over finite fields and the cohomology of moduli spaces of curves that resolve longstanding questions in algebraic geometry and confirm more recent predictions from the Langlands program.

LIEU / PLACE
CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstadt
Une r茅ception suivra au salon Maurice-Labb茅 (salle 6245)
A reception will follow in the Maurice-Labb茅 lounge (room 6245)

ZOOM

ID: 842 2670 1306 / CODE: 692788

ORGANISATEURS / ORGANIZERS
L茅o Belzile (Universit茅 de Montr茅al)
Joel Kamnitzer (91社区)
Giovanni Rosso (Concordia University)
Alina Stancu (Concordia University)

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