Elliptic Calabi-Yau 3-folds, Jacobi forms, and derived categories

Tuesday, October 4, 2016 -
4:30pm to 5:30pm
By physical considerations, Huang, Katz and Klemm conjectured in 2015 that topological string partition functions for elliptic Calabi-Yau 3-folds are governed by certain Jacobi forms. This gives strong structure results for curve counting invariants of elliptic CY 3-folds. I will explain a mathematical approach to prove (part of) the HKK Conjecture. Our method is to construct an involution on the derived category and use wall-crossing techniques.  The talk is based on joint work with Georg Oberdieck.
Speaker: 
Junliang Shen
ETH Zurich
Event Location: 
Fine Hall 322