Prof. Yakov ELIASHBERG 

(Stanford)

Abstract

Since the groundbreaking work of M. Gromov in 1980s there were developed many tools for distinguishing open symplectic domains. Till recently, similar questions in the contact geometric setup were largely open. For instance, it was not known whether there are open domains in the standard contact sphere of dimension >3 which are dffeomorphic but not contactomorphic to the standard contact vector space ( in dimension 3 it is known that all of them are).

In my lectures I will develop Floer theoretic tools for answering this type of questions. As one of applications I will construct a continuous family of pairwise non-contactomorphic open balls in the standards contact R^5. An important role plays the new theory of contact convexity pioneered in the work of Honda and Huang. The lectures are based on 2 joint work in progress of the speaker, one with J. Chaidez and D. Pancholi, and the other with K. Ajij, M. Mj, D. Pancholi and
L. Polterovich.

Registration Day 3 only (May 13)

Venues

📍 May 11 & 12

SECTION OF MATHEMATICS
rue du Conseil-Général 7-9
1205 Genève

📍 May 13

FONDATION BONINCHI 
Chemin du Nant-d'Aisy 11
Corsier, 1246 Genève