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Oberseminar SoSe 2012 Zusammenfassung des Vortrags von Orsola Tommasi

Cohomology of local systems of low weight on M2

In this talk we discuss different techniques for the computation of the cohomology of the moduli space of non-singular curves of genus 2 with marked points. More specifically, we explain how these techniques apply to the moduli space of genus 2 curves with 4 marked points and the consequences of this computation on the cohomology of local systems on the moduli of genus 2 curves and on the tautological ring of the moduli space of stable curves.