(mini-workshop)Towards Quantum Primitive Form Theory

Speaker: Mikhail Kapranov & Kouhei Iwaki & Akishi Ikeda
Title: (Kapranov) Secondary polytopes and Hochschild complexes,
(Iwaki) Introduction to exact WKB analysis 2,
(Ikeda) Construction of stability conditions from quadratic differentials
Date (JST): Fri, Oct 10, 2014, 10:00 - 17:00
Place: Seminar Room B
Abstract: Recently, Bridgeland and Smith constructed stability conditions on some $3$-Calabi-Yau categories from meromorphic quadratic differentials with simple zeros. In this talk, generalizing their results to higher dimensional Calabi-Yau categories, we describe the space of stability conditions on $N$-Calabi-Yau categories associated to $A_n$-quivers as the universal cover of the space of polynomials of degree n+1 with simple zeros. In particular, central charges of stability conditions on $N$-Calabi-Yau categories are constructed as the periods of quadratic differentials.