Centre de recherches mathématiques
Série de conférences / Series of lectures

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
Universite de Montreal
Salle / Room 5340
16h00 /4:00 pm

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).

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)

VIDEO OF THE LECTURE - OCTOBER 9, 2015

Centre de recherches mathématiques
Pavillon André-Aisenstadt
Universite de Montreal
Salle / Room 5340
14h00 / 2:00 pm

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
Universite de Montreal
Salle / Room 5340
14h00 / 2:00 pm