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SUMMARY:William Riley Casper (CSUF)
DTSTART:20210219T230000Z
DTEND:20210220T000000Z
DTSTAMP:20260404T132229Z
UID:ags/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/ags/1
 /">Commuting differential and integral operators and the adelic Grassmanni
 an</a>\nby William Riley Casper (CSUF) as part of Analysis and Geometry Se
 minar\n\n\nAbstract\nBeginning with the work of Landau\, Pollak and Slepia
 n in the 1960s on time-band limiting\, commuting pairs of integral and dif
 ferential operators have played a key role in signal processing\, random m
 atrix theory and integrable systems.  In this talk\, we will describe a cl
 ose connection between commuting integral and differential operators and p
 oints in the adelic Grassmannian\, which provides a commuting pair for eac
 h self-adjoint point in the Grassmannian.  Central to this relationship is
  the Fourier algebra\, a certain algebra of differential operators isomorp
 hic to the algebra of differential operators on a line bundle over a ratio
 nal curve.\n
LOCATION:https://stable.researchseminars.org/talk/ags/1/
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