WS2
Recent Developments in Mirror Symmetry and Calabi-Yau Varieties
(August 05-09,2024）
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About the Workshop:
About the Workshop:
The workshop "Recent developments in mirror symmetry and Calabi-Yau varieties" will be held at RIMS, Kyoto, Japan, 5th-9th August 2024. It is a part of RIMS project 2024 "Development in Algebraic Geometry related to Integrable Systems and Mathematical Physics". The purpose of this workshop is to bring together researchers in the fields of mirror symmetry of Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, DT/GV invariants of sheaves, and related subjects to discuss achievements so far and the future. We will have plenary talks on selected subjects for researchers and young graduate students.
Background of the Workshop:
Background of the Workshop:
Since the discovery of mirror symmetry of Calabi-Yau manifolds in the 1990s, we have witnessed the remarkable progress in the theory of Gromov-Witten invariants, and also a mathematical theory of quantum cohomology. Moreover, motivated by homological mirror symmetry, which relates the derived Fukaya category in symplectic geometry to the derived category of coherent sheaves of a Calabi-Yau manifold, Gromov-Witten invariants are considered to reduce to more intrinsic invariants in the derived categories of Calabi-Yau manifolds. Many important developments in this direction have been made in the last decade. Along with these theoretical developments, recently, the mathematical foundation for calculating Gromov-Witten invariants in terms of the so-called holomorphic anomaly equation has been established for quintic hypersurfaces. Also, non-perturbative aspect of the topological string theory has attracting attentions since some exact solutions have been found for the topological recursions.
This workshop is aimed for young researchers as well as experts in the related research fields to gather and communicate each other to develop further mathematics related to mirror symmetry. Some plenary talks by experts in selected subjects will be given for young researchers as well as non-experts who are interested in mathematics related to mirror symmetry.
Invited Speakers (Confirmed)
Invited Speakers (Confirmed)
Huai-Liang Chang (Hong Kong Univ. of Science and Technology)
Olivia Dumitrescu (University of North Carolina)
Mark Gross (Cambridge University)
Shuai Guo (Peking University)
Shinobu Hosono (Gakushuin University)
Hiroshi Iritani (Kyoto University)
Kohei Iwaki (University of Tokyo)
Tasuki Kinjo (RIMS, Kyoto)
Yukiko Konishi (Tsuda University)
Wei-Ping Li (Hong Kong Univ. of Science and Technology)
Todor Milanov (IPMU, Tokyo)
Jeongseok Oh (Seoul National University)
Hiroshi Ohta (Nagoya University)
Kaoru Ono (RIMS, Kyoto)
Daniel Pomerleano (University of Massachusetts)
Fumihiko Sanda (Gakushuin University)
Atsushi Takahashi (Osaka University)
Yukinobu Toda (IPMU, Tokyo)
Program with the titles (click here)
Program with the titles (click here)
Title and abstract (pdf version)
Aug.5 (Mon.)
9:30–10:30 Shinobu Hosono (Gakushuin University)
BCOV equations for families of Calabi-Yau threefolds
10:45–11:45 Hiroshi Iritani (Kyoto University)
Fourier analysis of equivariant quantum cohomology and its applications (1)
13:15–14:15 Kaoru Ono (RIMS, Kyoto University)
Lagrangian Floer theory on symplectic orbifolds
14:30-15:30 Olivia Dumitrescu (University of North Carolina)
On the interplay between ribbon graphs and CohFT
15:45–16:45 Kohei Iwaki (University of Tokyo)
Conifold gap property for the topological recursion free energy of elliptic spectral curves
Aug.6 (Tue.)
9:30–10:30 Hiroshi Iritani (Kyoto University)
Fourier analysis of equivariant quantum cohomology and its applications (2)
10:45–11:45 Huai-Liang Chang (Hong Kong Univ. of Science and Technology)
Higher genus mirror symmetry via Mixed Spin P (MSP) fields
13:15–14:15 Wei-Ping Li (Hong Kong Univ. of Science and Technology)
Geometry of Mixed-Spin-P-Fields
14:30–15:30 Shuai Guo (Peking University)
BCOV's Feynman rule for the quintic threefold
15:45–16:45 John Alexander Cruz Morales (National Univ. of Colombia)
Dubrovin duality and 4d/2d correspondences: Towards mirror symmetry for Hurwitz-Frobenius manifolds
Aug.7 (Wed.)
9:30–10:30 Mark Gross (Cambridge University)
Intrinsic Mirror Symmetry
10:45–11:45 Yukinobu Toda (IPMU, University of Tokyo)
BPS invariants and categorification
13:15–14:15 Todor Milanov (IPMU, University of Tokyo)
Relative quantum cohomology and the 2D Toda hierarchy
14:30–15:30 Atsushi Takahashi (Osaka University)
Set of full exceptional collections and mirror symmetry
15:45–16:45 Yukiko Konishi (Tsuda University)
Satake's good basic invariants for finite complex reflection groups
18:00–20:00
Social Dinner at 2F of Hokubu-Seikyou on the campus
Aug.8 (Thu.)
9:30–10:30 Mark Gross (Cambridge University)
Open FJRW theory
10:45–11:45 Yukinobu Toda (IPMU, University of Tokyo)
Quasi-BPS categories for Higgs bundles
13:15–14:15 Daniel Pomerleano (University of Massachusetts)
Homological mirror symmetry for Batyrev mirror pairs
14:30–15:30 Jeongseok Oh (Seoul National University)
The quantum Lefschetz principle
15:45–16:45 Tasuki Kinjo (RIMS, Kyoto University)
Recent developments in BPS invariants and their categorification
Aug.9 (Fri.)
9:30–10:30 Fumihiko Sanda (Gakushuin University)
Analogues of Dubrovin's conjecture
10:45–11:45 Hiroshi Ohta (Nagoya University)
Stokes curves in WKB analysis and family Floer theory
13:15–17:00
Free Discussion
Organizers
Organizers
Masa-Hiko SAITO (Kobe Gakuin University/Kobe University(Emeritus))
Takuro Mochizuki (RIMS, Kyoto)
Shinobu Hosono (Gakushyuin Univ.)
Poster of WS2
Poster of WS2
Financial Support
Financial Support
RIMS, Kyoto University
JSPS Grant-in-Aid for Scientific Research (A) 22H00094 (PI: Masa-Hiko Saito)
JSPS Grant-in-Aid for Challenging Research (Exploratory) 22K18669(PI: Masa-Hiko Saito)
JSPS Grant-in-Aid for Scientific Research (C) 20K03593 (PI: Shinobu Hosono)
JSPS Grant-in-Aid for Scientific Research (S) 21H04994 (PI: Atsushi Takahashi)sug
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