Michal Doucha: Complexity of distances between metric and Banach spaces

Data: terça-feira, 12 de fevereiro de 2019, às 14h00.

Sala: A-132

Palestrante: Michal Doucha 
(Czech Academy of Sciences)

Título: Complexity of distances between metric and Banach spaces.

Resumo: I will present a generalization of the theory of analytic equivalence relations and Borel reductions between them by introducing the more general notion of analytic pseudometrics. Then I will present the results that many standard pseudometrics from functional analysis and geometry such as Banach-Mazur distance, Gromov-Hausdorff distance, Kadets distance, etc., are bi-reducible to each other. Because of time constraints, there will be very few proofs, I will just try to explain the main ideas. It is joint work with Marek Cuth and Ondrej Kurka (who gave a talk about our joint paper already at the Second Brazilian Workshop in Geometry of Banach Spaces).