Special Year 2016-17: Homological Mirror Symmetry - Seminar

Augmentations and Legendrians at the IAS

February 12, 2016 | 2:30pm - 3:30pm

Lagrangian cobordisms between Legendrian submanifolds arise in Relative Symplectic Field Theory. In recent years, there has been much progress on answering qualitative questions such as: For a fixed pair of Legendrians, does there exist a Lagrangian...

Augmentations and Legendrians at the IAS

February 12, 2016 | 1:00pm - 2:00pm

In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The main focus is on Weinstein manifolds which admit a Weinstein Lefschetz fibration with an $A_k$-fibre...

Augmentations and Legendrians at the IAS

February 12, 2016 | 10:40am - 11:40am

In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The main focus is on Weinstein manifolds which admit a Weinstein Lefschetz fibration with an $A_k$-fibre...

Augmentations and Legendrians at the IAS

February 11, 2016 | 2:30pm - 3:30pm

Satellite operations are a common way to create interesting knot types in the smooth category. It starts with a knot $K$, called the companion knot, in some manifold $M$ and another knot $P$, called the pattern, in $S^1 \times D^2$ and then creates...

Augmentations and Legendrians at the IAS

February 11, 2016 | 1:00pm - 2:00pm

I will describe some work in progress (maybe more accurately, wild speculation) regarding a version of the derived Fukaya category for contact 1-jet spaces $J^1(X)$. This category is built from Legendrian submanifolds equipped with augmentations...

Augmentations and Legendrians at the IAS

February 11, 2016 | 10:40am - 11:40am

In this talk we will describe two methods which shows that, under some rigidity assumptions on the involved Legendrian submanifolds, a Lagrangian cobordism is simply connected. The first one uses the functoriality of the fundamental class in...