02/06/2003, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
Constantin Teleman, Cambridge University
Twisted K-Theory and Applications (II)
The Verlinde algebra as twisted K-theory
A refresher on loop groups and their positive-energy representations, the fusion product and the Verlinde algebra. Computation of the twisted \(K_G(G)\) in simple cases (\(S^1\), \(SU(2)\), \(SO(3)\)). Gradings and graded representations.
References
- Pressley, Segal: Loop Groups. Oxford University Press.
- Freed: The Verlinde algebra is twisted equivariant K-theory. Turkish J. Math. 25 (2001).
- Freed, Hopkins, Teleman: math.AT/0206257.