La profesora AUDREY FOVELLE, procedente del Departamento de Departamento de Análisis Matemático de la Universidad de Granada, impartirá la siguiente conferencia invitada:

Title: «An introduction to nonlinear geometry of Banach spaces»

Abstract: It is clear that if two Banach spaces are linearly isomorphic, then they have the same finite-dimensional subspaces. What is less obvious is that this remains true if we only find a bijection f (not necessarily linear!) between these two spaces such that both f and f^{-1} are uniformly continuous. This famous result by Ribe gave rise to what is known as the «Ribe program» in the 1980s. Some details on this program will be given, using a geometric example. Then, we will rely on geometric characteristics of the sequence spaces \ell_p to try to understand why they are considered as «rigid» in the nonlinear geometry of Banach spaces.

Fecha: Viernes día 16 de mayo de 2025. 13:00 h. 

Lugar: Seminario Alberto Dou (209)  de la Facultad de Ciencias Matemáticas de la Universidad Complutense de Madrid,

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