Hopf algebras, quantization and low-dimensional topology

March 29 - April 2, 2004, at the CIRM

Organizers: A. Bruguières et C. Torossian

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Programme


Introduction

Works by Drinfeld, Kontsevich, Turaev ... at the beginning of the nineties are at the origin of unexpected but extremely fruitful interactions between Hopf algebras, quantum groups and low-dimensional topology. During this meeting, we will study certain aspects of the spectacular results of these interactions, in particular, an intrinsic approach to quantum groups, Kazhdan-Etingof's biquantization theory and integrality properties in the theory of invariants in low-dimensional topology. In several talks, we will also touch on the new combinatorial theory of Hopf algebras, which has its origin in the works by Connes-Kreimer on renormalization. The aim of the meeting is thus to present an up-to-date view of these research areas with special emphasis on their connections.

The following speakers have confirmed their participation: N. Andruskiewitsch, B. Enriquez, G. Masbaum, H.-J. Schneider, C. Blanchet, F. Chapoton, L. Foissy, A. Frabetti, A. Joseph, C. Lescop, J.-L. Loday, A. Odesskii, M. Rosso, V. Roubtsov, P. Vogel.

This meeting is organized by the GDR 2432 and the European Research Training Network Liegrits.

The organizers gratefully acknowledge generous support by the Noncommutative Geometry (NOG) project of the European Science Foundation.

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http://www.math.jussieu.fr/gdralgebre/hopf2004.html

11 décembre 2004.