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ICERM Research Talk: Moduli and arithmetic of K3 surfaces

Modern Math Workshop 2026 October 29, 2026 - October 29, 2026

October 29, 2026 (04:30 PM PDT - 05:00 PM PDT)
Speaker(s): Kenneth Ascher (Princeton University)
Primary Mathematics Subject Classification No Primary AMS MSC
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Abstract

Algebraic geometry studies the geometric objects that arise as solutions to polynomial equations. Two guiding questions I will discuss are: how can we classify these objects? How does their geometry influence the number of rational solutions to the polynomial equations that define them? These questions lead to the subjects of moduli theory and arithmetic geometry, respectively.

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