INdAM Piazzale Aldo Moro 5, Roma
Guido Carlet (Institut de Mathématiques de Bourgogne, Dijon, France)
Abstract: We review some topics in the quest for the integrable hierarchies governing the generating functions of certain enumerative invariants: from the seminal result of Witten-Kontsevich, to the Givental quantization formula for the total descendent potential, to the Givental-Milanov-Tseng scheme to derive the associated Hirota equations. We will focus on some recent results concerning the total descendent potential of a class of genus-zero Hurwitz-Frobenius manifolds.
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