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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: MSRI: Simons Auditorium
Tags/Keywords
• meromophic differentials

• Moduli space

• canonical bundle formula

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