Geometric Structures seminar - Igor Zelenko - April 7, 2023 - 11:00 am (Rome time)

[Miruna - Stefana Sorea]

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

Speaker: Igor Zelenko (Texas A&M Univerisity)<https://www.math.tamu.edu/~zelenko/>
Title:  Gromov's h-principle for corank two distribution of odd rank with maximal first Kronecker index
Time: Friday, April 7th, 2023, 11:00 am (Rome time)
Venue: both in-presence in room 134 at SISSA and streamed on Zoom
on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

----
Abstract:  While establishing various versions of the h-principle for contact distributions (Eliashberg (1989) in dimension 3,  Borman-Eliashberg-Murphy (2015) in arbitrary dimension,  and even-contact contact  (D. McDuff, 1987)   distributions are among the most remarkable advances in differential topology in the last four decades, very little is known about analogous results for other classes of distributions, e.g. generic distributions of corank 2 or higher. The smallest dimensional nontrivial case of corank 2 distributions are Engel distributions, i.e. the maximally nonholonomic rank 2 distributions on $4$-manifolds. This case is highly nontrivial and was treated recently by Casals-Pérez-del Pino-Presas (2017) and Casals-Pérez-Presas (2017). In my talk, I will show how to use the method of contex integration in order to establish all versions of the h-principle for corank 2 distribution of arbitrary odd rank satisfying a natural generic assumption on the associated pencil of skew-symmetric forms. During the talk I will try to give all the necessary background related to the method of convex integration in principle. This is the joint work with Milan Jovanovic, Javier Martinez-Aguinaga, and  Alvaro del Pino.
----

More information can be found here: https://sites.google.com/view/geometric-structures/
Everyone is welcome!


--
Dr. Miruna-Stefana Sorea
Postdoctoral Researcher
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
https://sites.google.com/view/mirunastefanasorea/