糖果派对

Speaker: Michael Borinsky 
(The Institute for Theoretical Studies at ETH) 

Abstract:
I will present new results on the asymptotic growth rate of the Euler characteristic of Kontsevich's commutative graph complex. These results imply the same asymptotic growth rate for the top-weight Euler characteristic of M_g, the moduli space of curves, due to a recent work by Chan, Galatius and Payne. Further, they establish the existence of large amounts of unexplained cohomology in this graph complex. I will explain the role of this graph complex from the perspective of M_g's cohomology.