PIRSA:12030089 Scientific Series Quantum Fields and Strings

DOI10.48660/12030089

Series: Quantum Fields and Strings

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}}
}

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.

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