Overview

An international conference covering a broad range of recent developments in symplectic geometry, open to all interested participants.

Confirmed Speakers

Mohammed Abouzaid
Mohammed Abouzaid
Stanford University
Cengiz Aydin
Cengiz Aydin
Heidelberg University
Aleksander Doan
Aleksander Doan
University College London
Yoel Groman
Yoel Groman
Hebrew University of Jerusalem
Yusuf Barış Kartal
Yusuf Barış Kartal
National University of Singapore
Grigory Mikhalkin
Grigory Mikhalkin
University of Geneva
Alex Oancea
Alex Oancea
University of Strasbourg
Kaoru Ono
Kaoru Ono
Kyoto University
Pedro Salomão
Pedro Salomão
Southern University of Science and Technology
Kazushi Ueda
Kazushi Ueda
University of Tokyo
Jun Zhang
Jun Zhang
University of Science and Technology of China
Yoosik Kim
Yoosik Kim
Pusan National University
Yong-Geun Oh
Yong-Geun Oh
IBS Center for Geometry and Physics / POSTECH

Program

Sessions will run Tuesday–Friday (Nov 25–28).

Note: This schedule is tentative and is likely to change closer to the conference date.

Tuesday, Nov 25
09:00–09:30 Registration & Coffee
09:30–10:30 Talk 1: Kaoru Ono[talk title]
Abstract

Abstract will appear here.

10:30–11:00 Coffee Break
11:00–12:00 Talk 2: Grigory Mikhalkin[talk title]
Abstract

Abstract will appear here.

12:00–14:00 Lunch
14:00–15:00 Talk 3: Yoel Groman[talk title]
Abstract

Abstract will appear here.

15:00–15:30 Coffee Break
15:30–16:30 Talk 4: Yoosik KimCluster algebras and monotone Lagrangian tori
Abstract

In this talk, I will discuss one application of cluster algebras to symplectic geometry. Using the cluster algebra structure on unipotent cell and the existence of nice basis of the homogeneous coordinate ring of partial flag varieties, we construct monotone Lagrangian tori in partial flag varieties. We also present a convenient criterion, derived from properties of the dual canonical basis, for proving the existence of infinitely many distinct monotone Lagrangian tori. As an application, we show that whenever the corresponding cluster algebra is of infinite type, the associated family of monotone Lagrangian tori contains infinitely many distinct objects. This talk is based on joint work with Yunhyung Cho, Myungho Kim, and Euiyong Park.

Wednesday, Nov 26
09:30–10:30 Talk 5: Kazushi Ueda[talk title]
Abstract

Abstract will appear here.

10:30–11:00 Coffee Break
11:00–12:00 Talk 6: Jun Zhang[talk title]
Abstract

Abstract will appear here.

12:00–14:00 Lunch
Thursday, Nov 27
09:30–10:30 Talk 7: Alex Oancea[talk title]
Abstract

Abstract will appear here.

10:30–11:00 Coffee Break
11:00–12:00 Talk 8: Mohammed Abouzaid[talk title]
Abstract

Abstract will appear here.

12:00–14:00 Lunch
14:00–15:00 Talk 9: Yusuf Barış Kartal[talk title]
Abstract

Abstract will appear here.

15:00–15:30 Coffee Break
15:30–16:30 Talk 10: Aleksander Doan[talk title]
Abstract

Abstract will appear here.

16:30–17:00 Coffee Break
17:00–18:00 Talk 11: Yong-Geun OhStrict contactomorphisms are scarce
Abstract

In this talk, we will present the proof of scarcity of strict contactomorphisms of a generic contact form by showing that for such a generic contact form the set of strict contactomorphisms is a countable disjoint union of real lines $\mathbb{R}$, one for each connected component. For the proof, we first introduce the notion of non-projectible contact forms on a given compact manifold $M$, and show that the set thereof forms a residual subset of the set of (coorientable) contact forms both in the case with a fixed contact structure and in the case without it. We then show the aforementioned generic subset includes the set of non-projectible contact forms. This is partially a joint work with Y. Savelyev.

Friday, Nov 28
09:30–10:30 Talk 12: Cengiz Aydin[talk title]
Abstract

Abstract will appear here.

10:30–11:00 Coffee Break
11:00–12:00 Talk 13: Pedro SalomãoFinite energy foliations in the restricted three-body problem
Abstract

In this talk I will explain the use of pseudo-holomorphic curves to study the circular planar restricted three-body problem. For mass ratios sufficiently close to 1/2 and energies slightly above the first Lagrange value, we show the existence of finite energy foliations whose binding orbits are two retrograde orbits around the primaries and the Lyapunov near the first Lagrange point. These foliations explain the existence of homoclinic orbits to the Lyapunov orbits. This is joint work with L. Liu.

12:00–14:00 Lunch

Venue

Seoul National University
Seoul, South Korea

More details building and room information will be announced soon.

Practical Information

Organizers

Cheol-Hyun Cho
IBS Center for Geometry and Physics / POSTECH
Jungsoo Kang
Seoul National University
Kyler Siegel
University of Southern California
Otto Van Koert
Seoul National University