Towards Quantum Primitive Form Theory
A mini-workshop (Towards quantum primitive form theory) will be held on October 8-10, 2014 at IPMU Seminar Room B, which is organized jointly by Kavli IPMU and FMSP Program. (see http://ipmu.ac.jp and http://fmsp.ms.u-tokyo.ac.jp).
We cordially invite anyone who is interested in the subjects.
Kyoji Saito (Kavli-IPMU)
Toshitake Kohno (FMSP Program)
Dates: October 8-10, 2014
Venue: Seminar Room B, Kavli IPMU, The University of Tokyo (Kashiwa campus)
Language : English
Mikhail Kapranov: IPMU, univ. of Tokyo
Kohei Iwaki: RIMS, Kyoto university
Akishi Ikeda: Graduate school of mathematics, Univ. of Tokyo
Oct. 8 (Wed)
10:00-11:30 Kapranov 1
13:30-15:00 Iwaki 1
15:30-17:00 Ikeda 1
Oct. 9 (Thu)
10:00-11:30 Ikeda 2
13:30-15:00 Kapranov 2
15:30-17:00 Iwaki 2
Oct. 10 (Fri)
10:00-11:30 Iwaki 3
13:30-15:00 Ikeda 3
15:30-17:00 Kapranov 3
Title and Abstracts of lectures:
Kapranov 1. Background on secondary polytopes, Newton polytopes and exponential sums.
Kapranov 2. Homotopy Lie algebras from secondary polytopes.
Kapranov 3. Secondary polytopes and Hochschild complexes.
Iwaki 1. Introduction to exact WKB analysis 1.
Iwaki 2. Introduction to exact WKB analysis 2.
Iwaki 3. Exact WKB analysis and cluster algebras.
Ikeda 1. Derived categories of Ginzburg dg algebras and Bridgeland stability conditions
Ikeda 2. Geometry of surfaces, derived categories and quadratic differentials
Ikeda 3. Construction of stability conditions from quadratic differentials
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.