Workshops

Special Geometry, D-modules, and Modular Forms

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April 27 - 30, 2026
Room 202, Astronomy Mathematics Bldg., NTU

Poster

Aim & Scope

This workshop explores extremal transitions and mirror symmetry through geometric, analytic, arithmetic, and integral structures arising from Calabi–Yau moduli on both the A- and B-sides and their degenerations. It features four mini-courses (two 90-minute lectures each) by the organizers, providing structured introductions to central themes, together with 60-minute research talks by invited speakers on recent developments and open problems. The goal is to foster the exchange of ideas and to develop a common language across these interconnected areas.

Agenda with Title & Abstract  File

Speakers and Topics
Martin Guest ( Waseda University ) Gamma classes and tt*/real structure
Shinobu Hosono ( Gakushuin University ) Families of Calabi-Yau manifolds and mirror symmetry
Atsushi Kanazawa ( Waseda University ) Generalized Calabi-Yau geometry toward mirror symmetry
Chin-Lung Wang ( TIMS & National Taiwan University ) Quantum extremal transitions
Invited Speakers *Online
Konstantin Aleshkin ( Kavli Institute for the Physics and Mathematics of the Universe )
You-Cheng Chou ( Korea Institute for Advanced Study )
Ping-Hsun Chuang (National Taiwan University)
Yuki Koto ( Academia Sinica )
Shuang-Yen Lee ( National Taiwan University )
Tsung-Ju Lee ( National Cheng Kung University )
Fumihiko Sanda ( Chiba University )
Yota Shamoto* ( Yamato University )
Sz-Sheng Wang ( National Yang Ming Chiao Tung University )
Po-Sheng Wu ( National Taiwan University )
Jeng-Daw Yu ( TIMS & National Taiwan University )

Schedule *Online
April 27 (Monday)
09:00 - 10:30Shinobu Hosono Families of Calabi-Yau manifolds and mirror symmetry I 
10:50 - 11:50You-Cheng Chou Moduli of generalized Lam\'e curves
13:00 - 14:30Chin-Lung Wang Quantum extremal transitions I
14:50 - 15:50 Yuki Koto Quantum cohomology of GIT quotients and Fourier transforms
16:00 - 17:00 Po-sheng Wu Log-free curves for generalized Lamé equations and combinatorial structure
17:00 - 17:30Q&A Session and Discussion
April 28 (Tuesday)
09:00 - 10:30Atsushi Kanazawa Generalized Calabi-Yau geometry toward mirror symmetry I
10:50 - 11:50

Jeng-Daw Yu Finite monodromic Hodge structures and gamma motives
11:50 - 12:00Group Photo
13:00 - 14:30

Martin Guest Gamma classes and tt*/real structure_Lecture 1: The Phenomenon
14:50 - 15:50

Yota Shamoto* Silde File A Riemann-Hilbert correspondence for closed 1-forms
16:00 - 17:00Ping-Hsun Chuang On the arithmetic of symmetric powers of airy sheaves
17:00 - 17:30Q&A Session and Discussion
18:00-Banquet (Din Tai Fung, Xinsheng Branch・ディンタイフォン 鼎泰豐新生店)
台北市信義路二段277號 (捷運東門站6號出口)
No. 277, Sec. 2, Xinyi Rd., Taipei City (MRT Dongmen Station Exit 6)
台北市信義路二段277号 (地下鉄東門駅6番出口)

April 29 (Wednesday)
09:00 - 10:30Shinobu Hosono Slide File Families of Calabi-Yau manifolds and mirror symmetry II
10:50 - 11:50Sz-Sheng Wang Slide File Quantum extremal transitions of 3-folds and special L-values
13:00 - 14:30Chin-Lung Wang Quantum extremal transitions II
14:50 - 15:50

Konstantin Aleshkin Central charges and special geometry of abelian GLSM
16:00 - 17:00

Shuang-Yen Lee Quantum Fano transitions and special L-values
17:00 - 17:30Q&A Session and Discussion
April 30 (Thursday)
09:00 - 10:30

Atsushi Kanazawa Generalized Calabi-Yau geometry toward mirror symmetry II
10:50 - 11:50Fumihiko Sanda Towards an equivariant analogue of Dubrovin's conjecture
13:00 - 14:30

Martin Guest Gamma classes and tt*/real structure_Lecture 2: Progress and Difficulties
14:50 - 15:50

Tsung-Ju Lee Mirror duality between Calabi--Yau double covers
16:00 - 17:30Q&A Session and Discussion

Organizers
Martin Guest ( Waseda University )
Shinobu Hosono ( Gakushuin University )
Atsushik Kanazawa ( Waseda University )
Chin-Lung Wang ( TIMS & National Taiwan University )
Sponsors
Taida Institute for Mathematical Sciences ( TIMS )
National Taiwan University ( National Taiwan University )
National Science and Technology Council ( NSTC )
Registration
Please click here or scan the the QR code below for registration by April 19.
Registration
Special Geometry, D-modules, and Modular Forms