The commutative graph complex and the amount of top-weight cohomology in the moduli space of curves

Abstract: I will present new results on the asymptotic growth rate of the Euler characteristic of Kontsevich's commutative graph complex. By 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 a large amount of unexplained top-weight cohomology in this space.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.