Workshop on the h-principle and beyond

Organizers: Kai Cieliebak, Camillo De Lellis, Yakov Eliashberg, Emmy Murphy, László Székelyhidi Jr.

The aim of the workshop was to bring together researchers working in different areas of geometry, dynamical systems, and PDEs which have been and can potentially be affected by the most recent developments in the h-principle.

Confirmed speakers:  Daniel Alvarez-Gavela (MIT), Melanie Bertelson (Univ Brussels), Vincent Borrelli (University of Lyon), Lev Buhovsky (Tel Aviv University), Dimitri Burago (Penn State University), Alvaro Del Pino Gomez (University of Utrecht), Mike Freedman (Microsoft), Bernhard Hanke (University of Augsburg), Jonas Hirsch (University of Leipzig), Boris Khesin (University of Toronto), Oleg Lazarev (University of Massachusets, Boston), Eva Miranda (UPC), Yoshihiko Mitsumatsu (Chuo University), Sam Nariman (Purdue University), Danie Peralta Salas (ICMAT), Francisco Presas Mata (ICMAT), Melanie Theilliere (University of Luxemborg), Francisco Torres de Lizaur (University of Toronto)

**By invitation only for on campus viewing.  All others please watch remotely via Zoom.

Schedule (to see abstracts please go here: https://www.ias.edu/mathematics/tags/special-year-2021-22-workshop-h-principle-and-beyond

Monday, November 1
9:00 am - 10:00 am    Eva Miranda, UPC, Looking at Euler flows through a contact mirror: Universality, Turing completeness and undecidability
10:15am - 11:15 am   Francisco Presas Mata, ICMAT, Overtwisted=Tight in 3 dimensions
11:45am - 12:45 pm   Bernhard Hanke, University Augsburg, Local flexibility for open partial differential relations
02:15pm - 03:15 pm   Sam Nariman, Purdue University, Mather-Thurston's theory, non-abelian Poincare duality and diffeomorphisms groups

Tuesday, November 2
9:00 am - 10:00 am    Daniel Peralta-Salas, ICMAT, The many facets of complexity of Beltrami fields in Euclidean space
10:15am - 11:15 am   Melanie Theilliere, University Luxemborg, Holonomic approximation through convex integration
11:45am - 12:45 pm   Yoshihiko Mitsumatsu, Chuo University, Lefschetz fibrations on the Milnor fibers of cusp singularities and applications
02:15pm - 03:15 pm   Francisco Torres de Lizaur, University of Toronto, Chaos in the incompressible Euler equation on manifolds of high dimension

Wednesday, November 3

11:45am - 12:45 pm   Daniel Alvarez-Gavela, MIT, The flexibility of caustics and its applications
02:15pm - 03:15 pm   Boris Khesin, University of Toronto, Hamiltonian geometry behind compressible fluids
04:00pm - 05:00pm Mike Freedman, Microsoft, A Controlled Mather Thurston Theorem

Thursday, November 4
9:00 am - 10:00 am    Vincent Borelli, University Lyon, Regularity of the limit set of embedded Poincare disks
10:15am - 11:15 am   Jonas Hirsch, University Leipzig, A topological view on the Monge-Ampere equation in two dimensions in a low-regularity regime
11:45am - 12:45 pm   Alvaro Del Pino Gomez, University Utrecht, Ampleness up to avoidance
02:15pm - 03:15 pm   Lev Buhovsky, Tel Aviv University, Flexibility in C^0 symplectic geometry

Friday, November 5

10:15am - 11:15 am   Melanie Bertelson, Univ Brussels, A h-principle for locally conformal symplectic structures
11:45am - 12:45 pm   Oleg Lazarev, University of Massachusetts, Boston, Flexibilization as localization
02:15pm - 03:15 pm   Dmitri Burago, Penn State University, On some geometry-grounded problems involving PDEs, Dynamics and discretization