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