The 8th Workshop for Young Symplectic Geometers

June 23–27, 2024

Ocean Suites Jeju Hotel, Jeju, Korea

sponsored by
National Research Foundation of Korea
QSMS Center for Quantum Structures in Modules and Spaces

Invited Speakers

  • Hansol Hong (Yonsei University)
  • Kyoungmo Kim (Seoul National University)
  • Rak-Kyeong Seong (UNIST)

Confirmed Participants

  • Byunghee An (Kyungpook National University)
  • Hanwool Bae (QSMS)
  • Youngjin Bae (Incheon National University)
  • Yunhyung Cho (Sungkyunkwan University)
  • Hansol Hong (Yonsei University)
  • Wonbo Jeong (Seoul National University)
  • Jongmyeong Kim (QSMS)
  • Kyoungmo Kim (Seoul National University)
  • Yoosik Kim (Pusan National University)
  • Sangjin Lee (KIAS)
  • Rak-Kyeong Seong (UNIST)

Organizers

  • Byung Hee An (Kyungpook National University)
  • Youngjin Bae (Incheon National University)
  • Yunhyung Cho (Sungkyunkwan University)
  • Yoosik Kim (Pusan National University)

Venue

Talk Schedule

June 23 (Sun) June 24 (Mon) June 25 (Tue) June 26 (Wed) June 27 (Thu)
09:20 – 09:30 Arrival
and
Registration		 Opening Remark
09:30 – 10:30 Kyoungmo Kim (I) Hansol Hong (II) Rak-Kyeong Seong (I) Free Discussion
10:30 – 11:00 Break
11:00 – 12:00 Kyoungmo Kim (II) Hansol Hong (III) Rak-Kyeong Seong (II)
12:00 – 14:00 Lunch
14:00 – 15:00 Hansol Hong (I) Kyoungmo Kim (III) Rak-Kyeong Seong (III) Departure
15:00 – 15:30 Break
15:30 – 16:30 Free Discussion Discussion
&
Question Session		 WYSG Shorts 1 Discussion
&
Question Session
16:00 – 16:30 Break
16:30 – 17:30 WYSG Shorts 2
18:00 – Banquet

* The schedule may vary.

Title & Abstract

Abstracts

Speaker
Hansol Hong (Yonsei University)
Title
SYZ mirror symmetry for log Calabi-Yau surfaces
Abstract
Any log Calabi-Yau surface X can be expressed as a nontoric blowup of a toric surface up to a modification of the boundary divisor. Using this, one can construct a special Lagrangian torus fibration on X with nodal fibers, which results In the cluster structure on its SYZ mirror. I will first describe its mirror potential in terms of combinatorial data on the associated scattering diagram, and examine how its critical loci are affected by blowups. In particular, we will see that the blowup creates exactly one nondegenerate `geometric’ critical point of the potential. This is mirror to the analogous fact about the quantum cohomology of X that can be shown applying the result of Bayer.
Speaker
Kyoungmo Kim (Seoul National University)
Title
Topological Fukaya categories of tagged arc systems
Abstract
Fukaya categories of general symplectic manifolds are very difficult to define, compute, and understand. However, for surfaces, Haiden, Katzarkov, and Kontsevich introduced a topological version of the Fukaya category which is defined combinatorially. In this talk, I will introduce this topological Fukaya category with examples and generalize it to \mathbb{Z}/2\mathbb{Z}-orbifold surface. Using this new category, I will give its algebraic application. This is based on a preprint arXiv:2404.10294.
Speaker
Rak-Kyeong Seong (UNIST)
Title
The mathematics of quantum fields and strings
Abstract
  1. Representation Theoretic Foundation of String and M-Theory
  2. Enumerative Combinatorics and Graphs in String and Brane Configurations
  3. Complex Geometry of Moduli Spaces of Quantum Fields and Strings

Contact

  • Byunghee An (anbyhee_at_knu.ac.kr)
  • Youngjin Bae (yjbae_at_inu.ac.kr)
  • Yunhyung Cho (yunhyung_at_skku.ac.kr)
  • Yoosik Kim (yoosik_at_pusan.ac.kr)
NRF
QSMS

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