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Description
Probabilistic aspects of gauge/string duality on the torus:
The gauge/string duality is a physical principle described by a correspondence between observables from gauge theory (random matrices) and string theory (random surfaces), and it is still an active field in particle physics. In this talk, I will present one of the first rigorous mathematical results about this duality: the Yang-Mills partition function on a torus with structure group a compact classical group admits an asymptotic expansion which can be rewritten as an integral on a space of ramified coverings of the torus, which was conjectured by Gross and Taylor in the 90s. Beyond physical motivations, the goal of this talk will be to highlight the role of random partitions in the proof of this correspondence, which reveals its inherently probabilistic nature. Based on previous and ongoing works with Mylène Maïda (Université de Lille).
