Back to Algebraic Geometry Seminar: Fall 2021
Algebraic Geometry Seminar
Date: Tuesday, Oct 19, 2021
Time: 3:30PM - 4:30PM
Location: Zoom
@ 11am
Adam Afandi
University of Münster
Title |
Polynomiality of Hyperelliptic Hodge Integrals |
Abstract |
Hyperelliptic Hodge integrals are a class of intersection numbers on the moduli space of hyperelliptic curves. Several mathematicians (Graber-Pandharipande, Cavalieri, Wise, Johnson-Pandharipande-Tseng) have investigated these intersection numbers in the past, and their work has made it apparent that hyperelliptic Hodge integrals display a remarkable amount of combinatorial structure and symmetry. However, these intersection numbers are difficult to compute in general. In this talk, I will explain some results about closed form expressions for hyperelliptic Hodge integrals, culminating in a structure theorem (polynomiality) for a very general class of Hodge integrals. |
Algebraic Geometry