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BEGIN:VEVENT
DTSTAMP:20201020T200000Z
UID:1602855580927@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201020T200000Z
DTEND:20201020T210000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Alexander Volberg from Michigan State University
will be speaking.\n
\n
The title is "Metric
properties of Banach spaces, Enflo's problem,
Pisier's inequality and quantum random variables."\n
\n
This
is a virtual meeting.\n
\n
Contact
Aaron D Levin (levina@msu.edu) for more information.\n
\n
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 long-standing open problem
in Banach space theory. The proof is based on
a novel dimension-free 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.\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Zoom link provided on Math Seminars page
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