A probabilistic approach to path integrals
Event details
Date | 27.11.2018 |
Hour | 17:15 › 18:15 |
Speaker | Prof. Vincent Vargas (ENS, Paris) |
Location | |
Category | Conferences - Seminars |
Path integrals, which were introduced by Feynman in the context of quantum mechanics, can be seen as infinite dimensional analogues of integrals with
respect to the standard Lebesgue measure. Roughly speaking, they correspond to summing all trajectories defined on an interval and taking values in a finite dimensional space. One can make sense of these integrals using the probabilistic theory of Brownian motion.
In the 2d case, path integrals correspond to measures on functions defined on a surface (instead of an interval). We will see that one can make sense
of these path integrals using the theory of the Gaussian Free Field. In particular, we will explain the construction of Liouville conformal field theory, a special type of 2d path integral which appears in the context of string theory and quantum geometry.
Practical information
- General public
- Free
Organizer
- Prof. Clément Hongler
Contact
- Marie Munoz