SEMINARIO DI MATEMATICA

Lunedì 14 maggio 2018

ore 11:00

*Scuola Normale Superiore*

Pisa

Aula Marie Curie

*David Bate*

*(Jyvaskyla University**)*

terrà un seminario dal titolo:

*“**The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space**”*

*Abstract:*

*The Besicovitch-Federer projection theorem is a fundamental result of classical geometric measure theory and it is natural to ask if generalisations exist outside of the Euclidean setting. We will demonstrate its failure in Hilbert space by constructing a purely unrectifiable set of finite $\mathcal H^1$ measure whose image under every (non-zero) continuous linear function has positive Lebesgue measure. Time permitting, I will discuss how the counter example may be generalised to any infinite dimensional separable Banach space. This is joint work with Marianna Csörnyei and Bobby Wilson.*

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze Matematiche e Naturali

Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it