Twisted Spin-c structures on conjugacy classes


Eckhard Meinrenken

University of Toronto

Northeastern University

Thursday, March 11, 2010


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall


Abstract:   It is a well-known fact that the co-adjoint orbits of a compact Lie group G carry distinguished invariant Kaehler structures. This Kaehler structure is an ingredient in the construction of irreducible G-representations via geometric quantization. By contrast, the conjugacy classes in G need not admit complex structures in general, or even Spin-c structures. I will explain in this talk that conjugacy classes do, however, carry `twisted Spin-c structures' which play a role in a quantization procedure for conjugacy classes.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.

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Posted:: February 22, 2010    URL: