Víctor Olmos Prieto: Representing ideals in Banach spaces

  Data: segunda-feira, 23 de setembro de 2024, às 16h00.


Formato híbrido: Sala presencial: A-249. Google meet: https://meet.google.com/ijh-tzhe-snr

Palestrante: Víctor Olmos Prieto (UNED)

Título: Representing ideals in Banach spaces

Resumo: We will give an overview of the theory of ideals on countable sets, introducing properties such as tallness, Borel complexity, pathology and some classical representations of these families, and the relations between them. Later we will put our focus on recent results concerning ideals associated to sequences in Banach spaces, where $c_0$ plays a very important role, and we will finish talking about ideals generated by colorings and how their complexity affects the Banach spaces they can be represented in. This is joint work in progress with J. López-Abad and C. Uzcátegui Aylwin.