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Workshop on integrable systems and mirror symmetry |
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February 23 (Thu), 2012 |
Room B314-316, Building B, Graduate School of Science, Kobe University |
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Program |
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10:00--11:00 |
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Daisuke Yamakawa (Kobe), Moduli spaces of meromorphic connections with ramified irregular singularities |
11:15--12:15 |
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Atsushi Takahashi (Osaka), Mirror Symmetry of orbifold projective lines |
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(Lunch) |
13:30--14:30 |
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Hiroshi Iritan (Kyoto), Orlov equivalence and quantum singularity theory |
14:45--15:45 |
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Motohico Mulase (UC Davis), Double Hurwitz numbers and the Eynard-Orantin recursion |
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Abstracts |
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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. |
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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. |
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This workshop is supported by Kakenhi, JSPS (S) No. 19104002. |
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