10-08【Giulio Ruzza】管楼1418 吴文俊数学重点实验室数学物理系列报告之2019-15


题目:Matrix models and isomonodromic tau functions

报告人:Dr. Giulio Ruzza (SISSA and UCLouvain)



摘要:After briefly recalling the theory of isomonodromic deformations and tau functions, I will explain how to interpret certain matrix integrals as tau functions. Interestingly this is applied in one direction (from matrix integrals to tau functions) in the examples of the Kontsevich-Witten and Brezin-Gross-Witten tau function, but can also be applied in the opposite direction (from tau functions to matrix integrals) in other cases (e.g. the Gromov-Witten theory of P^1).



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