EVENT DETAILS AND ABSTRACT

Title: Pretalk: Introduction to the Legendrian contact homology
Speaker: Yu Pan
Speaker Info: MIT
Brief Description: Pre-talk
Special Note: Please note the change of room!
Abstract:

In this talk, I will give a brief introduction of the Legendrian contact homology, which is an invariant of Legendrian knots $\Lambda$ defined in the spirit of Symplectic Field Theory. With the similar idea applied to a $2$-copy of a Lagrangian filling of $\Lambda$, the wrapped Floer homology gives an isomorphism between the linearized contact homology of $\Lambda$ and the singular homology of the Lagrangian filling. At the end, I would like to mention an on-going project with Dan Rutherford showing that all the augmentations can be induced from possibly immersed exact Lagrangian fillings.