PIRSA:12030089

K3 Modular Parametrization and Calabi-Yau Threefold Moduli

Doran, C. (2012). K3 Modular Parametrization and Calabi-Yau Threefold Moduli. Perimeter Institute. https://pirsa.org/12030089

Doran, Charles. K3 Modular Parametrization and Calabi-Yau Threefold Moduli. Perimeter Institute, Mar. 27, 2012, https://pirsa.org/12030089 

          @misc{ pirsa_PIRSA:12030089,
            doi = {10.48660/12030089},
            url = {https://pirsa.org/12030089},
            author = {Doran, Charles},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {K3 Modular Parametrization and Calabi-Yau Threefold Moduli},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {mar},
            note = {PIRSA:12030089 see, \url{https://pirsa.org}}
          }

Charles Doran

DOI 10.48660/12030089
Collection
Talk Type Scientific Series
Subject

Abstract

A series of generalizations of the Weierstrass normal form for elliptic curves to the case of K3 surfaces will be presented.  These have already been applied to better understand F-theory/Heterotic string duality.  We will see how they also resolve a long-standing question of which "mirror-compatible" variations of Hodge structure over the thrice-punctured sphere can arise from families of Calabi-Yau threefolds.