Tuesday, October 20, 2020
4:00pm to 5:00pm


Math Seminar Series
(Conferences / Seminars / Lectures)
Alexander Volberg from Michigan State University will be speaking.
The title is "Metric properties of Banach spaces, Enflo's problem, Pisier's inequality and quantum random variables."
This is a virtual meeting.
Contact Aaron D Levin (levina@msu.edu) for more information.
A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition of Rademacher type relies on its linear structure. In the joint paper with Paata Ivanisvili and Ramon Van Handel we prove that Rademacher type and Enflo type coincide, settling a longstanding open problem in Banach space theory. The proof is based on a novel dimensionfree analogue of Pisier's inequality on the discrete cube, which, in its turn, is based on a certain formula that we used before in improving the constants in the scalar Poincaré inequality on the Hamming cube. I will also show several extensions of Pisier's inequality with ultimate assumptions on a Banach space structure. Some of our results use approach via quantum random variables. more information...
Location: 
Zoom link provided on Math Seminars page [map] 
Price: 
free 
Sponsor: 
Department of Mathematics 
Contact: 
Department of Mathematics (517) 3530844 



