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Robert Cardona's talk at SIMBA

Robert Cardona offers an introductory talk on the h-principle at the UB

Dec 04, 2019 from 12:00 PM to 02:00 PM
Historical building UB
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Robert Cardona will participate in the SIMBA (Seminari Informal de Matemàtiques de Barcelona) the next December 4th. It is a seminar oriented at PhD students and even Master and last-year degree students who wish to know topics currently active in research projects.

Title: The philosophy of the h-principle

Abstract: The homotopy principle (or h-principle) is a very general way to solve partial differential equations and relations which frames ideas of Smale and Nash. It is a far-reaching tool with applications in a lot of different topics as PDE’s, foliations, cobordisms, symplectic topology or Riemannian geometry. Gromov’s work was a revolution in geometry even if the h-principle has been known as”the hardest part of Gromov’s work to popularize”. In this talk, we will present a very informal approach to these ideas and comment some of its applications. Time permiting, we will mention shortly how it is used in a recent paper in the context of contact topology, and prove a conjecture concerning the Euler equations for ideal fluids in Riemannian manifolds. This last part is a joint work with E. Miranda, D. Peralta-Salas and F. Presas.


Facultat de Matemàtiques i Informàtica,
Universitat de Barcelona,
Gran Via de les Corts Catalanes, 585,
08007 Barcelona
Room B1

Click here for more information about the seminar.