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SUMMARY:William Riley Casper (CSUF)
DTSTART:20210219T230000Z
DTEND:20210220T000000Z
DTSTAMP:20260423T021725Z
UID:ags/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ags/1/">Comm
 uting differential and integral operators and the adelic Grassmannian</a>\
 nby William Riley Casper (CSUF) as part of Analysis and Geometry Seminar\n
 \n\nAbstract\nBeginning with the work of Landau\, Pollak and Slepian in th
 e 1960s on time-band limiting\, commuting pairs of integral and differenti
 al operators have played a key role in signal processing\, random matrix t
 heory and integrable systems.  In this talk\, we will describe a close con
 nection between commuting integral and differential operators and points i
 n the adelic Grassmannian\, which provides a commuting pair for each self-
 adjoint point in the Grassmannian.  Central to this relationship is the Fo
 urier algebra\, a certain algebra of differential operators isomorphic to 
 the algebra of differential operators on a line bundle over a rational cur
 ve.\n
LOCATION:https://researchseminars.org/talk/ags/1/
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