MATH Seminar
Title: Arithmetic Geometry and Stacky Curves |
---|
Seminar: Algebra |
Speaker: Andrew Kobin of Emory University |
Contact: Andrew Kobin, ajkobin@emory.edu |
Date: 2023-09-12 at 4:00PM |
Venue: MSC N302 |
Download Flyer |
Abstract: Solutions to many problems in number theory can be described using the theory of algebraic stacks. In this talk, I will describe a few Diophantine equations, such as the ``generalized Fermat equation'' $Ax^{p} + Bx^{q} = Cz^{r}$, whose integer solutions can be found using an appropriate stacky curve: a curve with extra automorphisms at prescribed points. I will also describe how stacky curves can be used to study rings of modular forms both classically and in characteristic $p$. Parts of the talk are joint work in progress with Juanita Duque-Rosero, Chris Keyes, Manami Roy, Soumya Sankar and Yidi Wang, and separately with David Zureick-Brown. |
See All Seminars