Random matrices, maps, and gauge theories
ENS de Lyon, June 25–29, 2018
The aim of this workshop is to gather researchers working in combinatorics, probability, and mathematical physics on topics related to loop equations, such as,
Dyson–Schwinger equations, Tutte equations, and Makeenko–Migdal equations.
3h minicourses:
- Gaetan Borot, Topological expansions
- Jérémie Bouttier, Equations with catalytic variables in enumerative combinatorics (Lecture notes and exercise sheet)
- Yoann Dabrowski, Schwinger–Dyson equations in free probability
- Thomas Krajewski, Algebraic structures related to loop equations
- Thierry Lévy, The Makeenko–Migdal equations in 2-dimensional quantum Yang–Mills theory
1h talks:
- Guillaume Chapuy, Maps and tableaux, through loop equations and constellations
- Linxiao Chen, A positivity bootstrap technique for validating the generating function of loop-decorated maps (Slides)
- Antoine Dahlqvist, Makeenko–Migdal equations and the Yang–Mills measure on the sphere
- Béatrice de Tilière, The Z-Dirac operator and massive Laplacian operators in the Z-invariant Ising model
- Franck Gabriel, Permutation invariant Lévy processes and application to random walks on symmetric groups
- Mylène Maïda, On the Douglas–Kazakov phase transition
- Yuri Makeenko, Matrix models with singular potentials (Slides)
Schedule | Abstracts of minicourses | Abstracts of talks | Participants
Participation: If you wish to participate, please email the organizers by Feb. 15th. We expect funding to be available for the accommodation of a limited
number of participants. Notification of funding will be given to participants in March.
Venue: Amphi A, UMPA, ENS de Lyon Site Monod, 46 Allée d'Italie, 69007 Lyon
Organizers: Alice Guionnet, Adrien Kassel, and Grégory Miermont