Moduli spaces of G-bundles and twisted K-theory

Fall 2016

Joint with Emily Cliff

The talks will be focused around Constantin Teleman's course notes. We'll also draw from the 2010 Talbot notes.

Talks:

9/7: Dileep Menon, Equivariant K-theory

  • reference: Jesse Wolfson's Talbot notes

    • 9/14: Dan Berwick-Evans, Twisted Equivariant K-theory

  • reference: Atiyah and Segal's Twisted K-theory

    • 9/21: Emily Cliff, Constructing examples of twisted equivariant K-theory classes from representations of G

  • reference: F-H-T, Loop groups and twisted K-theory II

    9/28: Josh Wen, Positive energy representations of loop groups

    9/29: Dan Freed, Loop group representations and WZW models

    10/5: Emily Cliff, Constructing positive energy loop group representations

    10/12: Charles Rezk, Equivariant elliptic cohomology

  • Reference: Ginzburg-Kapranov-Vasserot

    • 10/19: Charles Rezk, Equivariant elliptic cohomology II

  • References: Grojnowski, Ando

    • Some references:

    Freed, Hopkins and Teleman Loop groups and twisted K-theory I

    Freed, Hopkins and Teleman Loop groups and twisted K-theory II

    Freed, Hopkins and Teleman Loop groups and twisted K-theory III

    Freed, Hopkins and Teleman Twisted equivariant K-theory with complex coefficients

    Freed and Teleman Dirac Families for Loop Groups as Matrix Factorizations

    Atiyah and Segal Twisted K-theory

    Atiyah and Segal Twisted K-theory and cohomology

    Grojnowski Delocalised equivariant elliptic cohomology

    Rosu Equivariant K-theory and equivariant cohomology