Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Maylis Limouzineau
Affiliation:

Universität zu Köln
Date:

Mon, 2020-05-04 16:30 - 17:00 3-4pm: first part, designed for a general topological audience

4-430pm: virtual tea

430-5pm: second part, designed for experts

Abstract:

Let $\Lambda$ be a Legendrian knot or link in the standard 3-dimensional contact space, and let $\Sigma$ be an immersed Lagrangian filling of $\Lambda$ in the symplectization. Polterovich (or Lagrangian) surgery permits to solve immersed points to get embedded Lagrangian surfaces, each solved double point increasing the genus by one. We ask if this procedure is reversible: can any Lagrangian filling $\Sigma$ with genus $g(\Sigma)>0$ and $i(\Sigma)$ immersed points be obtained from surgery on a Lagrangian filling $\Sigma'$ with $g(\Sigma')=g(\Sigma)-1$ and $i(\Sigma')=i(\Sigma)+1$? We will see that the answer is no and give counter-examples. This is work in progress, joint with O. Capovilla-Searle, N. Legout, E. Murphy, Y. Pan and L. Traynor.

Zoom meeting ID: 919-9946-8404

Password: see email announcement or contact the seminar organisers:

Tobias Barthel (barthel.tobi[at]gmail.com [3])

David Gay (dgay[at]uga.edu [4])

Arunima Ray (aruray[at]mpim-bonn.mpg.de [5])

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/6994

[3] mailto:barthel.tobi@gmail.com

[4] mailto:dgay@uga.edu

[5] mailto:aruray@mpim-bonn.mpg.de