Twisted K-theory and the moduli of holomorphic G-bundles on a Riemann surface

The Frobenius algebra structure and relation to the index theory for the moduli of G-bundles on Riemann surfaces. The moduli space of flat G-bundles and the stack of all holomorphic G-bundles. (*Time permitting: higher twistings and general index formulas).

References

• Beaville, Laszlo: Conformal blocks and generalized theta functions. Comm. Math. Phys. 164 (1994).
• Teleman: Borel-Weil-Bott theory on the moduli stack of G-bundles over a curve. Invent. Math. 134 (1998).