Algebraic Geometry Seminar
Wednesday, August 28, 2019, 3:15pm, 119 Physics
Melody Chan (Brown University, Mathematics)
Algebraic and tropical moduli spaces
Abstract:- The moduli space of genus g Riemann surfaces, denoted M_g,
has been studied for more than a century, yet much of its geometry is
still a mystery. For example, in the 1980s Harer and Zagier showed
that the Euler characteristic (up to sign) grows super-exponentially
with g---yet most of this cohomology is not explicitly known. I will
give an introduction to M_g, and discuss recent results with Soren
Galatius and Sam Payne finding exponentially growing cohomology in
degree 4g-6, disproving a conjecture of Kontsevich; and a proof, with
Carel Faber, Galatius, and Payne, of a formula for top-weight Euler
characteristic of M_{g,n} conjectured by Zagier.
Generated at 12:29pm Saturday, April 20, 2024 by Mcal. Top
* Reload
* Login
