Title: Legendrian knots and Lagrangian fillings
Speaker: Roger Casals
Speaker Info: UC Davis
Brief Description: Research Talk
Meeting ID: 988 8144 3994Date: Thursday, October 22, 2020
Meeting Password: First word of the name of the seminar (in small letters)
Abstract: This will be an introductory talk to Legendrian knots and the modern techniques for their study. In the course of 2020 we are gaining significant understanding in the study of Legendrian links in the 3-sphere. Part of these developments focus on the study of their Lagrangian fillings: particular surfaces in 4-dimensional symplectic space which bound these knots. In this talk, I will survey the main advances that are taking place by presenting examples, geometric arguments and pictures. In particular, I will discuss the currently available methods to show that a given Legendrian link admits infinitely many Lagrangian fillings, sprouting from the initial January 2020 discovery (with H. Gao), which will also be discussed.