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SCIENTIFIC PROGRAMS AND ACTIVITIES |
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October 7, 2024 | ||||||||
Bimonthly Canadian Noncommutative Geometry Workshop
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Upcoming talks 2008-09 |
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Saturday May 16 10:30 a.m. |
Markus J. Pflaum, University of
Colorado Higher index theorems on orbifolds. Given a symplectic orbifold and a deformation quantization on it, we prove an algebraic higher index theorem on orbifolds by computing the pairing between cyclic cocycles and the K-theory of the formal deformation quantization. As an application, we obtain the analytic higher index theorem by Connes-Moscovici and its extension to orbifolds. |
10:30 a.m. |
Alexander Gorokhovsky, University of Colorado, Boulder One of the approaches to Atiyah-Singer index theorems for Dirac-type operators is based on the study of behavior of heat kernels. I will describe how this approach allows to prove index theorem for a single operator and for a family of operators. Then I will discuss how heat equation methods can be applied to compute Chern character of groupoid-equivariant operators in KK-theory and describe applications of this result, including a proof of A. Connes' index theorem for foliations. |
Support for graduate
students is available, please enquire, ncgworkshop<at>unb.ca.
This workshop is associated with the Center for Noncommutative Geometry
and Topology at the University of New Brunswick and the Noncommutative
Geometry Group at the University of Western Ontario.
www.math.unb.ca/~dan/copal/Centre_main.htm
We thank the Fields Instutute for financial support.