Workshop on integrable systems and mirror symmetry
February 23 (Thu), 2012
Room B314-316, Building B, Graduate School of Science, Kobe University
Program
10:00--11:00 Daisuke Yamakawa (Kobe), Moduli spaces of meromorphic connections with ramified irregular singularities
11:15--12:15 Atsushi Takahashi (Osaka), Mirror Symmetry of orbifold projective lines
(Lunch)
13:30--14:30 Hiroshi Iritan (Kyoto), Orlov equivalence and quantum singularity theory
14:45--15:45 Motohico Mulase (UC Davis), Double Hurwitz numbers and the Eynard-Orantin recursion
Abstracts
Atsushi Takahashi (Osaka)
Mirror Symmetry of orbifold projective lines
There are three constructions of Frobenius manifolds from completely different origins and purposes; the Gromov-Witten theory, the theory of primitive forms and the invariant theory of Weyl groups. Our main purpose is to give isomorphisms among these Frobenius manifolds by studying the Gromov-Witten theory for orbifold projective lines, the theory of primitive forms for cusp singularities and the invariant theory of extended affine Weyl groups. In particular, we simplify and generalize the result given by Milanov-Tseng and Rossi. This is a joint work with Yoshihisa Ishibashi and Yuuki Shiraishi.

Motohico Mulase (UC Davis)
Double Hurwitz numbers and the Eynard-Orantin recursion
It is expected that double Hurwitz numbers satisfy the Eynard-Orantin recursion. In this talk I will report the construction of the spectral curve and the kernel that determines the recursion formula. This is a joint work with Daniel Hernandez Serrano.

This workshop is supported by Kakenhi, JSPS (S) No. 19104002.