Gabriel Cramer Geometry Lectures 2026 | May 11, 12 and 13
INVARIANTS OF OPEN CONTACT MANIFOLDS AND CONTACTOMORPHISMS
Prof. Yakov ELIASHBERG
(Stanford)
Where: UNIGE Section of Mathematics & Fondation Boninchi
When: May 11, 12 and 13, 2026
Registration : Required to participate on Day 3 as capacity of the venue is limited. Registration is now closed.
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.
SCHEDULE
Monday, May 11 at 15:10, room 1-15, UNIGE Section of Mathematics ⚠️ Room change
Tuesday, May 12, at 15:10, 8th floor, UNIGE Section of Mathematics
Wednesday, May 13, at 15:10, Fondation Boninchi
