Réunion d'hiver SMC 2024

Vancouver/Richmond, 29 novembre - 2 decembre 2024

Résumés        
Prix Coxeter-James
MICHAEL GROECHENIG, University of Toronto
Applications of finite and p-adic fields to complex algebraic geometry  [PDF]

The arithmetic properties of finite and p-adic fields and the topological aspects of complex geometry are intricately linked. Starting with the Weil conjectures and ensuing theories, this talk will span a narrative arc between classical and recent applications of this connection, with a particular focus on those regarding moduli spaces of Higgs bundles. Joint work with de Jong, Esnault, Wyss, and Ziegler will be discussed during the talk's second half.

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