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Gæsteforelæsning Seminar

04.12.2024   at 15:00 - 16:00

QM Research Seminar: On the Euler characteristic of the commutative graph complex

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.