Young-Heon Kim (UBC)
Vendredi, 27 avril 2012 / Friday, April 27, 2012, 14:30 - 15:30
Salle / Room 6214
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
2920, chemin de la Tour
Analysis and geometry in regularity of optimal maps
In this talk, I would like to discuss some recent progress in understanding the regularity of optimal maps arising when mass distributions are matched in most cost effective way. The problem is related to PDE's of Monge-Ampere type, as well as Riemannian geometry. A key notion is curvature of the cost function, now often called Ma-Trudinger-Wang curvature.
15:30 - 16:00
Pause-café / Coffee break
16:00 - 17:00
Marco Gualtieri (Toronto)
Vendredi, 27 avril 2012 / Friday, April 27, 2012,16:00 - 17:00
Salle / Room 6214
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
2920, chemin de la Tour
Generalized complex geometry
Between the two extremes of symplectic and complex manifolds, there are generalized complex manifolds, introduced by Hitchin. The study of these spaces involves a mixture of tools from symplectic and algebraic geometry, as well as Poisson geometry. I will explain what these are, what they have to do with the "B-field" from physics, and I will describe some of the recent progress in our understanding of these structures.
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).