Topological recursion and mirror symmetry


Bouchard, V. (2010). Topological recursion and mirror symmetry. Perimeter Institute. https://pirsa.org/10050032


Bouchard, Vincent. Topological recursion and mirror symmetry. Perimeter Institute, May. 07, 2010, https://pirsa.org/10050032


          @misc{ pirsa_PIRSA:10050032,
            doi = {10.48660/10050032},
            url = {https://pirsa.org/10050032},
            author = {Bouchard, Vincent},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Topological recursion and mirror symmetry},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {may},
            note = {PIRSA:10050032 see, \url{https://pirsa.org}}

Vincent Bouchard University of Alberta


The topological recursion of Eynard and Orantin has found many applications in various areas of mathematics. In this talk I will discuss the recursion from the point of view of Hurwitz numbers and local mirror symmetry. I will explain the mathematics underlying the recursion, its relation with the cut-and-join equation, and explore first steps towards proving (and understanding geometrically) the appearance of the recursion in local mirror symmetry.