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Universität Augsburg
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Universität Augsburg
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Dr. Christian Voigt,
Universität Münster
spricht am
Montag, 20. Juni 2011
um
16:00 Uhr
im
Raum 2006 (L1)
über das Thema:
| Abstract: |
| In noncommutative geometry one studies geometric spaces using methods from operator algebras and functional analysis. An important role is played by Kasparov’s KK-theory, a far reaching generalization of topological K-theory in the sense of Atiyah-Hirzebruch. Vertex algebras, in contrast, provide a mathematical framework to study conformal field theory. In this talk I will first review some background material on operator algebras and KK-theory. In particular I will explain how the construction of the Dirac cycle in KK(C_0(M),C) for a spin manifold M can be viewed as the quantization of a certain supersymmetric mechanical system with configuration space M. The main aim of the talk is to discuss an analogous construction starting from supersymmetric σ-models in 1 + 1-dimensions. Here vertex algebras and ideas from conformal field theory play an important role. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).