Title: About reversing surgery for Lagrangian fillings of Legendrian knots
Speaker: Maÿlis Limouzineau
Speaker Info: Mathematical Institute of the University of Cologne
Brief Description: TBA
Meeting ID: 922-4351-6463Date: Thursday, May 21, 2020
Meeting Password: first word of the name of the seminar
Abstract: Consider Sigma an immersed Lagrangian filling of a Legendrian knot Lambda. Polterovich surgery allows to solve double points to get an embedded Lagrangian filling of Lambda, each solved point increasing the genus by one. We wonder if the surgery procedure is reversible: Can any Lagrangian filling Sigma with genus g(Sigma)>0 and p(Sigma) double points can be obtain from surgery on a Lagrangian filling Sigma' with g(Sigma')=g(\Sigma)-1 and p(\Sigma')=p(\Sigma')+1? We will see that the answer is no and give a family of counter-examples. This is work in progress with Orsola Capovilla-Searle, Noémie Legout, Emmy Murphy, Yu Pan and Lisa Traynor.