WS2
Recent Developments in Mirror Symmetry and Calabi-Yau Varieties
(August 05-09,2024）
RIMS Kyoto University
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:
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)
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)
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)
TBA (1)
13:15–14:15 Kaoru Ono (RIMS, Kyoto University)
TBA
14:45–15:30 Olivia Dumitrescu (University of North Carolina)
TBA
15:45–16:45 Kohei Iwaki (University of Tokyo)
TBA
Aug.6 (Tue.)
9:30–10:30 Hiroshi Iritani (Kyoto University)
TBA(2)
10:45–11:45 Huai-Liang Chang (Hong Kong Univ. of Science and Technology)
TBA
13:15–14:15 Wei-Ping Li (Hong Kong Univ. of Science and Technology)
Geometry of Mixed-Spin-P-Fields
14:45–15:30 Shuai Guo (Peking University)
TBA
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)
TBA(1)
10:45–11:45 Yukinobu Toda (IPMU, University of Tokyo)
TBA(1)
13:15–14:15 Todor Milanov (IPMU, University of Tokyo)
TBA
14:45–15:30 Atsushi Takahashi (Osaka University)
TBA
15:45–16:45 Yukiko Konishi (Tsuda University)
TBA
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)
TBA(2)
10:45–11:45 Yukinobu Toda (IPMU, University of Tokyo)
TBA(2)
13:15–14:15 Daniel Pomerleano (University of Massachusetts)
Homological mirror symmetry for Batyrev mirror pairs
14:45–15:30 Jeongseok Oh (Seoul National University)
TBA
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)
TBA
10:45–11:45 Hiroshi Ohta (Nagoya University)
TBA
13:15–17:00
Free Discussion
Title and abstract (pdf version)
Participants
TBA
Registration
If you want to participate in the social dinner on the 7th of August, please register from the link above before 23:59 JST, July 4, 2024. (Registration itself remains open until 23:59 JST, July 30, 2024.)
Organizers
Masa-Hiko SAITO (Kobe Gakuin University/Kobe University(Emeritus))
Takuro Mochizuki (RIMS, Kyoto)
Shinobu Hosono (Gakushyuin Univ.)
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
