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The Euler characteristic of moduli spaces of meromorphic differentials

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 19, 2019 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Martin Moeller (Johann Wolfgang Goethe-Universität Frankfurt)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • meromophic differentials

  • Moduli space

  • canonical bundle formula

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

We compute the cotangent bundle to the moduli spaces of meromorphic differentials. This relies on the fine structure at the boundary of the smooth compactification by multi-scale differentials. As a consequence we obtain a canonical bundle formula and an algorithm to compute Euler characteristics.
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