### 2024 MATRIX-IBSCGP Workshop on Symplectic and Low-dimensional Topology

#### [IBS-CGP Conference]

#### June 3 – 14, 2024

#### IBS POSTECH Campus Bldg. #301 Auditorium

This workshop aims to explore the rich interface between symplectic/contact geometry and low dimensional topology.

Research talks will be spread out to allow ample time for interaction and collaboration. The first week will also feature lecture series by Tobias Ekholm (Uppsala) and Ian Zemke (Princeton):

(1) Tobias Ekholm: Skein valued open curve counts

(2) Ian Zemke: Heegaard Floer theory, new perspectives and applications

There will be a lecture series given by Jae Choon Cha (POSTECH) in the second week.

(3) Jae Choon Cha: Topological and smooth disks in 4-manifolds

The program is tailored for both young researchers and established mathematicians, providing a platform for collaboration,

exchange of ideas, and the advancement of knowledge. By bringing together experts in these areas,

this workshop seeks to highlight the profound connections between these areas and inspire further breakthroughs at their intersection.

#### Organizers

Yong-Geun Oh (IBS Center for Geometry and Physics & POSTECH)

Brett Parker (Australian National University)

Anderson Vera (IBS Center for Geometry and Physics)

#### Invited Lecturers

Jae Choon Cha (Pohang University of Science and Technology)

Tobias Ekholm (Uppsala University)

Ian Zemke (Princeton University)

#### Invited Speakers

Hanwool Bae (Seoul National University)

Youngjin Bae (Incheon National University)

Dylan Cant (University of Montreal)

Georgios Dimitroglou Rizell (Uppsala University)

Jonathan Hanselman (Princeton University)

Kristen Hendricks (Rutgers University)

Jungsoo Kang (Seoul National University)

Sungkyung Kang (University of Oxford)

Min Hoon Kim (Ewha Womans University)

Otto van Koert (Seoul National University)

Sangjin Lee (Korea Institute for Advanced Study)

Jianfeng Lin (Tsinghua University)

Rak-Kyeong Seong (UNIST)

Seung-ook Yu (Pohang University of Science and Technology)

Jun Zhang (University of Science and Technology of China)

#### Talk(s)

- Minimal periodic orbits on 3D convex hypersurfaces
- 11:00 – 12:00, 2024-06-14 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jungsoo Kang (Seoul National University)

- Unboundedness from Hamiltonian deformations and symplectic squeezings
- 09:30 – 10:30, 2024-06-14 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jun Zhang (University of Science and Technology of China)

- Non-squeezing of Legendrians and open subsets in prequantization bundles
- 15:30 – 16:30, 2024-06-13 at IBS POSTECH Campus Bldg. #301 Auditorium
- Georgios Dimitroglou Rizell (Uppsala University)

- Symplectic automorphisms with simple asymptotic behavior
- 14:00 – 15:00, 2024-06-13 at IBS POSTECH Campus Bldg. #301 Auditorium
- Sangjin Lee (Korea Institute for Advanced Study)

- Topological and smooth disks in 4-manifolds III
- 09:30 – 10:30, 2024-06-13 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jae Choon Cha (Pohang University of Science and Technology)

- Calegari spheres and doubles of Casson-Gordon balls are standard
- 11:00 – 12:00, 2024-06-12 at IBS POSTECH Campus Bldg. #301 Auditorium
- Min Hoon Kim (Ewha Womans University)

- Exotic boundary Dehn twists on 4-manifolds
- 09:30 – 10:30, 2024-06-12 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jianfeng Lin (Tsinghua University)

- Topological and smooth disks in 4-manifolds II
- 15:30 – 16:30, 2024-06-11 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jae Choon Cha (Pohang University of Science and Technology)

- Computational symplectic topology and RTBP
- 14:00 – 15:00, 2024-06-11 at IBS POSTECH Campus Bldg. #301 Auditorium
- Otto van Koert (Seoul National University)

- Invariant splitting principles for the Lipshitz-Ozsváth-Thurston correspondence
- 09:30 – 10:30, 2024-06-11 at IBS POSTECH Campus Bldg. #301 Auditorium
- Sungkyung Kang (University of Oxford)

- Legendrian links, Lagrangian fillings, and cluster structures
- 14:00 – 15:00, 2024-06-10 at IBS POSTECH Campus Bldg. #301 Auditorium
- Youngjin Bae (Incheon National University)

- Relative Calabi-Yau structures on wrapped Fukaya categories
- 11:00 – 12:00, 2024-06-10 at IBS POSTECH Campus Bldg. #301 Auditorium
- Hanwool Bae (Seoul National University)

- Topological and smooth disks in 4-manifolds I
- 09:30 – 10:30, 2024-06-10 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jae Choon Cha (Pohang University of Science and Technology)

- Legendrian contact instanton cohomology and its spectral invariants on the one-jet bundle
- 15:30 – 16:30, 2024-06-07 at IBS POSTECH Campus Bldg. #301 Auditorium
- Seung-ook Yu (Pohang University of Science and Technology)

- Plumbed 3-Manifolds, BPS Spectra and Machine Learning
- 14:00 – 15:00, 2024-06-07 at IBS POSTECH Campus Bldg. #301 Auditorium
- Rak-Kyeong Seong (UNIST)

- Heegaard Floer theory, new perspectives and applications IV
- 09:30 – 10:30, 2024-06-07 at IBS POSTECH Campus Bldg. #301 Auditorium
- Ian Zemke (Princeton University)

- Skein valued open curve counts IV
- 15:30 – 16:30, 2024-06-05 at IBS POSTECH Campus Bldg. #301 Auditorium
- Tobias Ekholm (Uppsala University)

- Relating d-invariants and signatures for 2-component links
- 14:00 – 15:00, 2024-06-05 at IBS POSTECH Campus Bldg. #301 Auditorium
- Jonathan Hanselman (Princeton University)

- Skein valued open curve counts III
- 11:00 – 12:00, 2024-06-05 at IBS POSTECH Campus Bldg. #301 Auditorium
- Tobias Ekholm (Uppsala University)

- Heegaard Floer theory, new perspectives and applications III
- 09:30 – 10:30, 2024-06-05 at IBS POSTECH Campus Bldg. #301 Auditorium
- Ian Zemke (Princeton University)

- Heegaard Floer theory, new perspectives and applications II
- 15:30 – 16:30, 2024-06-04 at IBS POSTECH Campus Bldg. #301 Auditorium
- Ian Zemke (Princeton University)

- Symplectic annular Khovanov homology and knot symmetry
- 14:00 – 15:00, 2024-06-04 at IBS POSTECH Campus Bldg. #301 Auditorium
- Kristen Hendricks (Rutgers University)

- Skein valued open curve counts II
- 09:30 – 10:30, 2024-06-04 at IBS POSTECH Campus Bldg. #301 Auditorium
- Tobias Ekholm (Uppsala University)

- Heegaard Floer theory, new perspectives and applications I
- 14:00 – 15:00, 2024-06-03 at IBS POSTECH Campus Bldg. #301 Auditorium
- Ian Zemke (Princeton University)

- Floer cohomology for contact isotopies of ideal boundaries
- 11:00 – 12:00, 2024-06-03 at IBS POSTECH Campus Bldg. #301 Auditorium
- Dylan Cant (University of Montreal)

- Skein valued open curve counts I
- 09:30 – 10:30, 2024-06-03 at IBS POSTECH Campus Bldg. #301 Auditorium
- Tobias Ekholm (Uppsala University)

#### Registration

Online registration is not available.

#### External Link

#### Contacts

- IBS-CGP Workshop (workshop@ibs.re.kr)