Série de conférences / Series of lectures

The non-perturbative quantum field theory and string theory is a source of deep connections between different branches of mathematics and physics. In these lectures I will focus on the correspondence between the generating functions of instanton invariants, the integrals over the moduli spaces of instantons in Yang-Mills theory in four dimensions, and the conformal blocks of two dimensional conformal field theories. The BPS/CFT correspondence was conjectured around 2002-2004 based on several examples, which kept coming up. The celebrated AGT conjecture (2009) is a particular example, where both sides of the BPS/CFT correspondence are well-known, but the connection is surprising. In the lectures I will present the new tool for proving these conjectures, the moduli space of crossed instantons. In a particular corner of the parameter space the BPS/CFT correspondence becomes the Bethe/gauge correspondence, relating quantum integrable systems and supersymmetric gauge theories. The lectures will report on the latest achievements in this field.

Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
Salle / Room 6254

• Lundi 14 septembre / Monday, September 14
  Première partie / Part 1
  16h00 / 4:00 pm
  Video


• Mardi 15 septembre / Tuesday, September 15
  Seconde partie / Part 2
  14:30 / 2:30 pm
  Video


• Mercredi 16 septembre / Wednesday, September 16
  Troisième partie / Part 3
  16h00 / 4:00 pm
  Video


• Jeudi 17 septembre / Thursday, September 17
  Quatrième partie / Part 4
  14:30 / 2:30 pm
  Video
  

"Gauge theories and integrable systems"

• Vendredi 18 septembre 2015 / Friday, September 18, 2014
  (Conférence s'adressant à un large auditoire / Suitable for a general audience)

Centre de recherches mathématiques
Pavillon André-Aisenstadt
Universite de Montreal
Salle / Room 6254
16h00 / 4:00 pm
Video

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).