Bruno Le Floch: Instanton counting, conformal blocks, and their convergence

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Institut Henri Poincaré

After an extensive overview of 4d N=2 supersymmetric gauge theories, 2d conformal field theories (CFT), and the AGT correspondence relating some of their observables, I will focus on Nekrasov instanton partition functions, related to CFT conformal blocks, and will describe the convergence radius of these series. Curiously, the results distinguish well and badly approximable irrational Liouville pa

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