Eduardo Calderon: Asymptotic models and plegma families

11/October/2013, 13:30–15:00
Fields institute, Room 210

Speaker:  Eduardo Calderon (UNAM)

Title:  Asymptotic models and plegma families

Abstract: We will discuss one of the usual ways in which Ramsey’s theorem is applied to the study of Banach space geometry and then, by means of techniques closely following ones first developed by S. Argyros, V. Kanellopoulos, K. Tyros, we will introduce the concept of an asymptotic model of higher order of a Banach space and establish a relationship between these and higher order spreading models that extends their result of the impossibility of always finding a finite chain of spreading models reaching an $l_p$ space to the context of weakly generated asymptotic models.