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.
Dates: October 8-10, 2014
Schedule :
Title and Abstracts of lectures:
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.
Organizers: 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 Speakers : Mikhail Kapranov: IPMU, univ. of Tokyo Kohei Iwaki: RIMS, Kyoto university Akishi Ikeda: Graduate school of mathematics, Univ. of Tokyo
Schedule :
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. Abstract: TBA
Iwaki 1. Introduction to exact WKB analysis 1. Iwaki 2. Introduction to exact WKB analysis 2. Iwaki 3. Exact WKB analysis and cluster algebras. Abstract: TBA
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.
