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Local systems on M_2 and the top weight cohomology of M_{2,n}

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

May 06, 2019 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Orsola Tommasi (Università di Padova)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Moduli spaces of curves

  • cohomology

  • Hodge theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

3-Tommasi

Abstract

The cohomology of the moduli space M_{g,n} of smooth n-pointed complex curves of genus g carries mixed Hodge structures. Their top weight part has attracted attention due to its combinatorial nature, which connects it to the topology of its tropicalization, as shown by Chan, Galatius and Payne. In this talk, I would like to present an alternative approach to the study of the top weight cohomology in the case g=2 using local systems. This is joint work in progress with Dan Petersen.

Supplements
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Video/Audio Files

3-Tommasi

H.264 Video 869_26605_7726_3-Tommasi.mp4
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