Algebra Seminar --- William Cherry: "Non-Archimedean analytic curves in algebraic varieties" | Department of Mathematics

Algebra Seminar --- William Cherry: "Non-Archimedean analytic curves in algebraic varieties"

Event Information
Event Location: 
GAB461
Event Date: 
Friday, April 21, 2017 - 1:00pm

Title: Non-Archimedean analytic curves in algebraic varieties

Abstract: I will explain Serge Lang's conjectures relating four aspects of
algebraic varieties: geometric structure, rational maps from group
varieties, rational points, and holomorphic maps from the complex plane. I
will then explain what happens if one considers non-Archimedean analytic
maps instead of complex holomorphic maps and discuss a parallel conjectural
framework. I will give a broad overview and intend that the talk will be
accessible even to those with limited experience with algebraic geometry and
non-Archimedean analysis.

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