CHANGE OF DATES!
The Winter School will be offered as an online event this year. Please register on the school's website if you wish to attend online.
Resurgence in mathematics and physics by Marcos Mariño (Geneva)
The theory of resurgence is a universal framework to extract physical and mathematical information from formal power series. It gives the promise of a better understanding of non-perturbative effects in physics, and it unveils remarkable mathematical structures in perturbation theory.
In this course, I will introduce the basic ideas and techniques of the theory of resurgence, and I will illustrate them in theories of interest to both mathematicians and physicists, like the exact WKB method and Chern-Simons invariants of knots.
Noncommutative algebraic geometry from symplectic groupoids by Marco Gualtieri (Toronto)
I will explain how we can apply geometric quantization to symplectic groupoids in the holomorphic category to obtain a geometric method for studying certain noncommutative algebras. I will also explain how these ideas are related to Donaldson's approach to the moduli space of Kahler metrics, to the concept of holomorphic symplectic Morita equivalence, and how these topics are unified in the study of generalized Kahler metrics.
Mini course by Edward Frenkel (Berkeley) To be confirmed.
