Mathematics Research Communities

MRC Week 1, June 2-8, 2019

Geometric Representation Theory and Equivariant Elliptic Cohomology

Dan Berwick-Evans, University of Illinois at Urbana-Champaign
Emily Cliff, University of Illinois at Urbana-Champaign
Nora Ganter, University of Melbourne
Arnav Tripathy, Harvard University
Josh Wen, University of Illinois at Urbana-Champaign

One of the tried-and-true techniques in representation theory is to apply topological invariants to spaces built out of Lie groups. The workshop will study this paradigm where the invariant is equivariant elliptic cohomology. Elliptic cohomology has deep roots in homotopy theory, algebraic geometry, and mathematical physics. The resulting interplay has proven to be fertile territory, rich with intricate examples in many disciplines, including integrable systems, enumerative geometry, and elliptic algebras. The recent and ongoing understanding of the geometry of elliptic cohomology has revealed new conceptual understanding and computational tools. The focus of this workshop will be to apply these new Ideas to geometric representation theory. An ideal participant will have experience in one of the related areas, but need not have exposure to all of them. In particular, prior expertise in elliptic cohomology is not necessary. We look forward to bringing together advanced graduate students and postdocs from a mix of backgrounds for a workshop centered on cross-disciplinary interaction and collaboration.


Applications are now being accepted on The deadline is February 15, 2019.

Contact Information

For further information, please contact the Associate Executive Director at

American Mathematical Society