Bonn Topology Group - Abstracts
General Information - Members - Activities - Topology Seminar
Talk
November 16, 2021
Jack Davies (University of Utrecht): Stable operations on the universal elliptic cohomology theory
Abstract
Elliptic cohomology theories have been around since the 1980s and possess connections to differential and algebraic geometry. In this talk, we define the universal elliptic cohomology theory, called topological modular forms (or tmf), and emphasise its connections to topological K-theory and number theory. We will define stable Adams operations on tmf inspired by K-theory, and stable Hecke operators inspired by the classical study of Hecke operators on complex modular forms. A few toy applications will also be given.
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