| Speaker: | Yan-Lung Leon Li (IBS Postech) |
|---|---|
| Title: | Seidel representations and obstructions of Lagrangian correspondences |
| Date (JST): | Fri, Jun 19, 2026, 13:30 - 15:00 |
| Place: | Seminar Room B |
| Abstract: |
Seidel representation S is an enumerative invariant obtained from counting pseudoholomorphic sections of the Seidel space E associated to a Hamil-tonian S1-action on a symplectic manifold X (or more generally a Hamiltonian loop of X). It has wide-ranging applications for symplectic topology, enumerative geometry, (2d and 3d) mirror symmetry, etc. In this talk, I will report on an ongoing joint work with Lau and Leung on resolving a conjecture of Teleman, which states that under closed-string mirror symmetry of X, S is identified with Teleman’s mirror fibration. When X is toric semi-Fano, this recovers a result of Chan-Lau-Leung-Tseng. A key ingredient of the proof is the equivariant Floer theory of a Lagrangian correspondence L between E and its symplectic quotient X, based on an earlier joint work with Lau and Leung. Depending on time, I will demonstrate the unob- structedness of L after the bulk deformation by S (modulo higher-order terms). |
