EVENT DETAILS AND ABSTRACT

Title: Homotopy theory and modular surfaces
Speaker: Tyler Lawson
Speaker Info: University of Minnesota
Brief Description:
Special Note:
Abstract:

Computations in algebraic topology can effectively be divided up into rational information together with information at each prime. Refinements of this led to a division of homotopy theory according to primes. I'll discuss how Quillen's theorem connected homotopy theory to formal group laws, leading to effective invariants of stable homotopy groups in terms of Bernoulli numbers and modular forms. We'll then move on to discussing ongoing work connecting this to work of Picard on modular functions in two variables, as well as modular forms with level structure.