Title: Squeezing Lagrangian tori in R4
Abstract: I will consider here to which extent a standard Lagrangian torus in R4 can be squeezed into a small ball. The result is quite surprising. When the ratio between a and b is less than 2, the split torus T(a,b) is completely rigid, and cannot be squeezed into B(a+b) by any Hamiltonian isotopy. When this ratio exceeds 2 on the contrary, flexibility shows up, and T(a,b) can be squeezed into the ball B(3a). This is a joint work with Richard Hind.
Title: Exact Lagrangian fillings of Legendrian torus knots
Abstract: I will discuss how many exact Lagrangian fillings of Legendrian torus knots are possible up to Hamiltonian isotopies. The main tools are augmentations of Legendrian DGA and Lagrangian saddle cobordisms. I will also talk about how the cluster structure and Dynkin diagrams are related to this subject. This is joint work with Byunghee An.
JLU-Gießen
Hörsaalgebäude neue Chemie Hörsaal C 5a
12:00 - 12:30 Registration at the Institut
12:30 - 13:45 Lunch at the Cafeteria CaRé
13:45 - 14:15 Walk to the lecture hall – C 5a
14:15 - 15:15 Talk – Emmanuel Opshtein
15:15 - 16:00 Coffee
16:00 - 17:00 Talk – Youngjin Bae
University of Gießen
Mathematical Institute
Arndtstraße 2
Cafeteria CaRé
Heinrich-Buff-Ring 44