# SIMBa: The philosophy of the \$h\$-principle

El proper dimecres, 4 de desembre, se celebrarà una nova xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Robert Cardona Aguilar
Universitat: Universitat Politècnica de Catalunya

Data: Wednesday, 4th of December
Hora: 12:00, coffee break; 12:20, talk
Lloc: B1 classroom, Facultat de Matemàtiques de la Universitat de Barcelona.
Idioma: English

Títol: The philosophy of the $h$-principle
Resum: The homotopy principle (or $h$-principle) is a very general way tosolve partial differential equations and relations which frames ide-as of Smale and Nash. It is a far-reaching tool with applicationsin a lot of different topics as PDE’s, foliations, cobordisms, sym-plectic topology or Riemannian geometry. Gromov’s work was arevolution in geometry even if th $h$-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 com-ment some of its applications. Time permiting, we will mentionshortly how it is used in a recent paper in the context of contacttopology, and prove a conjecture concerning the Euler equationsfor ideal fluids in Riemannian manifolds. This last part is a jointwork with E. Miranda, D. Peralta-Salas and F. Presas.

Si voleu estar al cas de les xerrades previstes, podeu consultar el calendari. Si voleu proposar una xerrada, ompliu el formulari. Si voleu contactar amb els responsables podeu escriure un missatge a `seminari(dot)simba(at)ub(dot)edu`.