2021 Winter School in Mathematical Physics

Session

Student talks

Jan 21, 2021, 9:30 AM

Les Diablerets

1. Weronika Czerniawska, "What is Arakelov geometry and what does it have to do with Physics?"

1/21/21, 9:30 AM

2. Raphaël Ducatez, "A forward-backward random process for the spectrum of 1D Anderson operator"

1/21/21, 10:00 AM

Anderson's model in 1 dimension has been studied since the 80's and the location is well understood. Here I propose a new formula for the construction of the eigenvectors which makes the link with the products of independent random matrices. In particular, I show that, with a adapted scaling, eigenvectors behave as the exponential of a Brownian process with a drift, the drift corresponding to...

3. Matthias Kloeckner, "A new characterization of conformal maps in (pseudo-)Euclidean spaces"

1/21/21, 10:30 AM

4. Donald Youmans, "BF, Schwarzian theory and Drinfeld-Sokolov reduction"

1/21/21, 11:15 AM

5. Danilo Lewanski, "Resurgent Topological Recursion"

1/21/21, 11:45 AM

Topological recursion (TR) arose from random matrix models and was promoted to a mathematical theory in 2007. It can be thought as an implementable algorithm which takes as input an object called spectral curve and produces as output the infinite list of numbers which are solution to some enumerative problem. TR is by now applied to Mirror Symmetry, String Theory, Gromov-Witten theory, Hurwitz...