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SUMMARY:George Lusztig (MIT)
DTSTART:20210308T190000Z
DTEND:20210308T200000Z
DTSTAMP:20260423T024424Z
UID:UMassRep/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UMassRep/18/
 ">Fourier Transform and Finite Analogues</a>\nby George Lusztig (MIT) as p
 art of UMass Amherst Representation theory seminar\n\n\nAbstract\nWe are n
 ow about 200 years since the introduction of Fourier transform (for functi
 ons on the real line). This has become one of the most important tools not
  only in pure mathematics but also in applied math and engineering. In thi
 s talk we will discuss some of its analogues when the real line is replace
 d by something finite. The two main topics of the talk are:\n1) How to wri
 te Fourier transform over a symplectic vector space over the field with tw
 o elements as a triangular matrix?\n2) A nonabelian analogue of Fourier tr
 ansform (related to representation theory).\n
LOCATION:https://researchseminars.org/talk/UMassRep/18/
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