Geometric Representation Theory and Equivariant Elliptic Cohomology

Mathematics Research Communities Summer Conference, June 2-8 2019, Rhode Island

Official announcement on the AMS webpage

Organizers: 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

Format: This conference will be geared towards graduate students and postdocs. For more information about AMS MRCs see the general information webpage.

Description: 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 be a graduate student or postdoc with 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.

Application: Please apply through mathjobs.org.

Elliptic Cohomology Days

Workshop and mini-conference, June 10-15 2019, Urbana-Champaign

Format: This will be a focused research event, modeled on the AIM SQuarE workshops. Researchers of all levels are invited.

Description: The aim of this event is to bring together the mathematically diverse community interested in different aspects of elliptic cohomology, from applications to integrable systems, to representation theory and quiver varieties, to new geometric foundations.

Please contact Dan Berwick-Evans or Nora Ganter if you are interested in participating.