Topics and Lectures
Geometry, reduction and quantization
•Geometry of Dirac structures
Henrique Bursztyn
(IMPA, Brazil)
•Cohomological formulae for the equivariant index of a transversally
elliptic operator
Paul-Emile Paradan
(Montpellier, France)
Abstract: In the 70's, the notion of analytic index has been extended by Atiyah and Singer to the class of transversally elliptic operators.
They did not,
however, give a general cohomological formula for the index. This was
accomplished many years later by Berline and Vergne.
The Berline-Vergne formula is an integral of a non-compactly supported
equivariant form on the cotangent bundle, and depends on rather subtle
growth conditions for these forms.
In this course, we will explain an alternative expression for the
index obtained recently by Paradan and Vergne, where the non-compactly supported form is replaced with a compactly supported one, but with
generalized coefficients.
• Holomorphic structures and unitary connections on Hermitian vector bundles
Florent Schaffhauser
(Keio, Japan)
Multizeta, polylogarithms and periods in quantum field theory
• Iterated integrals in quantum field theory
Francis Brown
(Paris VII, France)
• A Prologomon to Renormalization
Sylvie Paycha
(Clermont-Ferrand, France)
• Introduction to Feynman integrals
Stefan Weinzierl
(Mainz, Germany)
Geometry of quantum fields and the standard model
• Geometric issues in Quantum Field Theory and String Theory
Luis J. Boya
(Zaragoza, Spain)
• Geometric Aspects of the Standard Model and the Mysteries of Matter
Florian Scheck
(Mainz, Germany)
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