Topological automorphic forms
Presenter
January 30, 2014
Keywords:
- stable homotopy theory
- Adams-Nobikov spectral sequence
- formal groups
- complex cobordisms
- Morava K-theory
- elliptic curves
MSC:
- 55P42
- 55Pxx
- 55T15
- 57R77
- 57R85
- 57Rxx
- 57-xx
Abstract
Topological modular forms and its generalizations are objects in stable homotopy that realize a connection to 1-dimensional formal group laws. In this talk I'll describe how this perspective on stable homotopy has emerged, and how using algebraic geometry is providing us with a library of new objects in homotopy theory.