## Topology Seminar (Main Talk): Legendrian isotopy from a quantitative viewpoint

Seminar | February 20 | 5:10-6 p.m. | 3 Evans Hall | Note change in time

Georgios Dimitroglou Rizell, Uppsala University

Department of Mathematics

We use techniques from persistence homology applied to the Chekanov-Eliashberg algebra in order to obtain a restriction on the oscillatory norm of a contact Hamiltonian that displaces a Legendrian in the contact vector space from its image under the Reeb flow. These techniques are also used to show that a Legendrian which admits an augmentation cannot $C^0$-approximate a loose Legendrian, and to obstruct the existence of small positive Legendrian loops. This is joint work with M. Sullivan.

conway@berkeley.edu