Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Dan Berwick-Evans
Affiliation:

UIUC
Date:

Mon, 23/05/2022 - 15:00 - 16:00 Contact for zoom details: Barthel, Ozornova, Ray, Teichner.

Modular forms appear in many contexts in physics and mathematics. In two-dimensional supersymmetric quantum field theories they arise as certain expectation values. In algebraic topology, they emerge in the study of elliptic cohomology theories. A long-standing conjecture suggests that these two appearances of modular forms are intimately related. Specifically, the Stolz-Teichner program predicts that 2-dimensional supersymmetric Euclidean field theories provide a geometric model for the universal elliptic cohomology theory of topological modular forms (TMF). After explaining the ingredients, I’ll describe some recent progress.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/TopologySeminar