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The Chow ring of the stack of stable curves of genus 2

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019

May 07, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Angelo Vistoli (Scuola Normale Superiore)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Algebraic stacks

  • intersection theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

8-Vistoli

Abstract

There is by now an extensive theory of rational Chow rings of moduli spaces of smooth curves. The integral version of these Chow rings is not as well understood. I will survey what is known. In the last part of the talk I will discuss the Chow ring of the stack of stable curves of genus 2, which has been recently calculated by Eric Larson. I will present a different approach to the calculation, which offers an interesting point of view on stack of stable curves of genus 2. This part is joint work with Andrea Di Lorenzo.

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8-Vistoli

H.264 Video 869_26614_7731_8-Vistoli.mp4
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