PIRSA:16100047

GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities

Zhou, J. (2016). GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities. Perimeter Institute. https://pirsa.org/16100047

Zhou, Jie. GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities. Perimeter Institute, Oct. 06, 2016, https://pirsa.org/16100047 

          @misc{ pirsa_PIRSA:16100047,
            doi = {10.48660/16100047},
            url = {https://pirsa.org/16100047},
            author = {Zhou, Jie},
            keywords = {Mathematical physics},
            language = {en},
            title = {GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100047 see, \url{https://pirsa.org}}
          }

Jie Zhou

Talk number
PIRSA:16100047
Collection
Talk Type
Subject
Abstract

I will talk about some connections among the GKZ (introduced by Gelfand-Kapranov-Zelevinsky) hypergeometric series, orbifold singularities of the system, and chain integrals in some geometry.  The GKZ hypergeometric series appeared in some very interesting contexts including arithmetic geometry, enumerative geometry and mathematical physics in the last few decades. I will report some new geometric realizations and interpretations of them.