PIRSA:16100047

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

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100047 see, \url{https://scivideos.org/pirsa/16100047}}
          }
          
Talk numberPIRSA:16100047
Source RepositoryPIRSA

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.