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Toric Geometry related to Mirror Symmetry

 

Date: February 19 - 20, 2016             Place: Rm. 8101, KIAS

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Speaker: Hyenho Lho (KIAS)
Title: Tropical curves and degeneration formula of GW-invariants.
Abstract: We review tropical curves shortly and explain how counting of tropical curves can be related to degeneration formula of GW-invariants.

Speaker: Jeongseok Oh (KAIST)
Title 1: Batyrev mirror construction for Calabi Yau toric hypersurface.
Title 2: Hypergeometric equations and Picard Fuchs equations for CY toric hypersurface.
Abstract: This talks are basically survey talks for "recent developments in toric geometry" by David A. Cox. and "Mirror Symmetry and Algebraic Geometry" by David A. Cox and Sheldon Katz. In the first talk, I will remind you Batyrev's construction of CY toric hypersurface and its mirror using reflexive polytopes. Also I will mention the result about comparing Hodge numbers of those varieties. In the second talk, I will introduce hypergeometric system of Gelfand, Kapranov and Zelevinsky and relation between it and Picard Fuchs equations for CY toric hypersurface.

Speaker: Yutaka Yoshida (KIAS)
Title: Equivariant A-twisted GLSM and Gromov-Witten invariants of CY 3-folds in Grassmannians  
Abstract: We give a conjectural computation of genus-zero Gromov-Witten invariants of Calabi-Yau complete intersection 3-folds in Grassmannians, using supersymmetric localization in A-twisted non-Abelian gauged linear sigma models (GLSM).