# Details of talk

Title | Real K-theory of compact Lie groups |
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Presenter | Chi-Kwong Fok (The University of Adelaide) |

Author(s) | Dr Chi-Kwong Fok |

Session | Category Theory, Algebraic Topology, K-Theory |

Time | 16:30:00 2017-12-13 |

Abstract | Let $G$ be a compact connected Lie group, viewed as a $G$-space via the conjugation action. A theorem of Brylinski--Zhang states that the equivariant K-theory of $G$ is the ring of K\"ahler differentials of its complex representation ring, while a recent deep theorem by Freed--Hopkins--Teleman asserts a canonical isomorphism between the twisted equivariant version and the Verlinde algebra of $G$. In this talk, I will present generalizations of both results in the context of Atiyah's Real K-theory. |