Nigel Higson
(Penn State University)
June 9, 2021
Organized by Americas GNCG Seminar.

The Oka Principle and a K-theoretic Perspective on the Langlands Classification

The Oka principle in complex geometry asserts that continuous structures in a variety of contexts, including vector bundles on polynomially convex sets, carry unique holomorphic structures, up to isomorphism.  The Oka principle fits naturally into K-theory, and it has long been proposed as a mechanism to understand cases of the Baum-Connes conjecture.  I shall explain how in the case of real reductive groups it may be combined with the Langlands classification to produce an interesting new perspective on the Connes-Kasparov isomorphism.  This is joint work with Jacob Bradd. 

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