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PRODID:-//Virginia Tech//VT Calendar//EN
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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