ZUMA - Embeddings Problems in Symplectic Geometry/ECH capacities of Singular Concave Toric Domains

Venue: Room 204, Hai Na Yuan #2, Zijingang Campus


Time: April 13, 16:15 - 17:35


Speaker: Jonathan Trejos (Southern University of Science and Technology)

  

Pretalk:  Embeddings Problems in Symplectic Geometry

Abstract: We briefly discuss the problem of symplectically embedding one manifold into another and explain its significance in symplectic geometry. We then introduce toric domains and singular toric domains, and describe several embedding problems arising in this setting.

Research talk:  ECH capacities of Singular Concave Toric Domains

Abstract: We describe the main theorem, which provides a method to compute the ECH capacities of singular concave toric domains via a suitable ball-packing construction. We then outline the proof, which relies on understanding an equivalence between the embedded contact complex of the concave toric domain and a combinatorial model.