Friedrich-Hirzebruch-Kolloquium: Peter Teichner (Bonn): Manifolds, field theories and modular forms
Thursday, 15.12.2016 16:00 im Raum M 5
We will present a mathematical approach to classical and quantum field theories, in
terms of smooth functors on geometric bordism categories. This allows the construc-
tion of classifying spaces for such field theories, and a number of deep analogies with
algebraic topology arises in the super symmetric case: Locality of a QFT leads to Mayer-
Vietoris sequences, central charge corresponds to the degree (or twist) of a cohomology
class, gauged field theories arise in equivariant cohomology and quantization corre-
sponds to push-forward maps. For very small space-time dimensions, we will explain
how these analogies become theorems by identifying classifying spaces of field theo-
ries with those of de Rham cohomology respectively K-theory. We will report on joint
work with Stephan Stolz and many others.
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Hirzebruch_Poster.pdf
Angelegt am Monday, 05.12.2016 16:33 von Julia Moudden
Geändert am Monday, 26.02.2018 15:55 von Frank Wübbeling
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