OS Reelle Geometrie und Algebra: The commutative graph complex and the amount of top-weight cohomology in the moduli space of curves
Wann
Freitag, 21. Juli 2023
13:30 bis 15 Uhr
Wo
F426
Veranstaltet von
Mateusz Michalek
Vortragende Person/Vortragende Personen:
Michael Borinsky
I will present new results on the asymptotic growth rate of the Euler characteristic of Kontsevich's commutative graph complex. By a work of Chan, Galatius and Payne, these results imply the same asymptotic growth rate for the top-weight Euler characteristic of M_g, the moduli space of curves, and establish the existence of large amounts of unexplained top-weight cohomology in this space.