CHAIRE AISENSTADT 2015:
Bertrand Eynard (IPhT, CEA Saclay)
[ English ]
Counting Surfaces
Conférences de la Chaire Aisenstadt
Auteur : Bertrand Eynard
>>Lien sur les mini-cours de Bertrand Eynard
28 septembre - 6 novembre 2015
Centre de recherches mathématiques
Série de conférences

Topological Recursion
VIDÉO DE LA CONFÉRENCE - 2 OCTOBRE 2015
Topological recursion is an ubiquitous and universal recursive relationship that has appeared in various domains of mathematics and physics: volumes of moduli spaces, coefficients of asymptotic expansions in random matrix theory, Hurwitz numbers, Jones polynomials, Gromov-Witten invariants, and many other combinatorial objects, all mysteriously satisfy the same relation. Moreover, this recursion relation is effective: it allows an actual computation. This recursion has been axiomatized into a definition of some "new invariants" of curves. In this lecture we shall introduce the topological recursion, illustrate it on examples and mention its beautiful properties.
Vendredi 2 octobre 2015 / Friday, October 2, 2015
(Conférence s'adressant à un public mathématique non spécialisé/Suitable for a non-specialist mathematical audience)
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
Salle / Room 6254
Une réception suivra la conférence au Salon Maurice-L'Abbé, Pavillon André-Aisenstadt (Salle 6245)
A reception will follow at the Salon Maurice-L'Abbé, Pavillon André-Aisenstadt (Room 6245).
Introduction to CFT amplitudes and Hitchin systems
Building amplitudes from a Hitchin system. Recently it has been observed that there is a relationship between CFT conformal blocks and tau functions of integrable systems. The best known example is Liouville theory 4-point function related to Painleve VI Tau function. We propose a systematic construction of CFT amplitudes from an arbitrary Hitchin system. This introduces a fascinating geometry.
Vendredi 9 octobre 2015 / Friday, October 9, 2015
(Conférence s'adressant à un large auditoire/Suitable for a general audience)
VIDÉO DE LA CONFÉRENCE - 9 OCTOBRE 2015
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
Salle / Room 5340
14h00 / 2:00 pm
CFT amplitudes and Hitchin systems
Checking that the amplitudes satisfy the CFT axioms: OPEs, Ward identities. Modular invariance and the crossing symmetry, from the geometry of Higgs bundles.
Vendredi 23 octobre 2015 / Friday, October 23, 2015
(Conférence s'adressant à un large auditoire/Suitable for a general audience)
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
Salle / Room 5340
14h00 / 2:00 pm