GDOW02
2 April 2013 to 5 April 2013
The notion of an operad was introduced in the late 60's in algebraic topology as a tool to encode higher homotopies. It enjoyed a renaissance in the 90's when M. Kontsevich and others used algebraic operads in deformation theory.
The passage from classical mechanics to quantum mechanics prompted the general mathematical problem of deformation quantization. In Poisson geometry, such a problem was solved by D. Fedosov for symplectic manifolds, by V. Drinfeld for Poisson-Lie groups, and by M. Kontsevich for Poisson manifolds. In 1998, six months after Kontsevich's original proof, D. Tamarkin gave another but purely operadic proof of the deformation quantization of Poisson manifolds, using the formality of the little discs operad, the Deligne conjecture, and the deformation-quantization of Lie bialgebras due to P. Etingof and D. Kazhdan.
The introduction of operadic graph homology in 1991 by M. Kontsevich allowed V. Ginzburg and M. Kapranov, and E. Getzler and J. Jones to develop the Koszul duality theory on the level of algebraic operads. This theory gives a conceptual explanation of the duality between commutative algebras and Lie algebras in Rational Homotopy Theory, developed by D. Quillen and D. Sullivan. It was also shown by M. Kontsevich, E. Getzler, and Y.I. Manin to share nice relationships with moduli spaces of curves, i.e. quantum cohomology and Frobenius manifolds. The operadic calculus play a key role in Quantum Field Theory in mathematical physics since it provides an algebraic way to control higher structures.
The goal of this conference is to cover the most recent and interesting developments of these fields of research.
Tuesday 2nd April 2013 | |||
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09:00 to 09:25 | No Room Required | ||
09:25 to 09:30 | No Room Required | ||
09:30 to 10:30 |
Ulrike Tillmann University of Oxford |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
John Francis Northwestern University |
Room 1 | |
12:15 to 13:15 | No Room Required | ||
13:30 to 14:30 |
Alexander Berglund Stockholm University |
Room 1 | |
14:30 to 15:00 | No Room Required | ||
15:00 to 16:00 |
Dee Roytenberg Universiteit Utrecht |
Room 1 | |
16:30 to 17:30 |
Boris Tsygan Northwestern University |
Room 1 | |
17:30 to 19:00 | No Room Required |
Wednesday 3rd April 2013 | |||
---|---|---|---|
09:30 to 10:30 |
Alberto Cattaneo Universität Zürich |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Pavol Severa Observatoire Astronomique de l'Universite de Geneve |
Room 1 | |
12:15 to 13:15 | No Room Required | ||
13:30 to 14:30 |
Graeme Segal University of Oxford |
Room 1 | |
14:30 to 15:00 | No Room Required | ||
15:00 to 16:00 |
Kathryn Hess |
Room 1 | |
16:30 to 17:30 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 1 | |
19:30 to 22:00 | No Room Required |
Thursday 4th April 2013 | |||
---|---|---|---|
09:30 to 10:30 |
Bertrand Toën Université de Montpellier 2 |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Vladimir Dotsenko Trinity College Dublin |
Room 1 | |
12:15 to 13:15 | No Room Required | ||
13:30 to 14:30 |
Yuri Ivanovich Manin Max-Planck-Institut für Mathematik, Bonn |
Room 1 | |
14:30 to 15:00 | No Room Required | ||
15:00 to 16:00 |
Jon Pridham University of Cambridge |
Room 1 | |
16:30 to 17:30 |
Nathalie Wahl Københavns Universitet (University of Copenhagen) |
Room 1 | |
Friday 5th April 2013 | |||
---|---|---|---|
09:30 to 10:30 |
Ezra Getzler Northwestern University |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Thomas Willwacher Harvard University |
Room 1 | |
12:15 to 13:15 | No Room Required | ||
13:30 to 14:30 |
Jeffrey Giansiracusa Swansea University |
Room 1 | |
14:30 to 15:00 | No Room Required | ||
15:00 to 16:00 |
Ralph Cohen Stanford University |
Room 1 | |
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