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UID:92260114c41a64a78b9296cdd695bbba
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20260323T122509
SUMMARY:Super Multivariate Krawtchouk Polynomials via Lie Superalgebras
LOCATION:Hill 705
DESCRIPTION:Krawtchouk polynomials constitute a family of orthogonal polynomials with a
 pplications in probability theory. In 2012, Iliev gave a Lie-theoretic inte
 rpretation of the multivariate Krawtchouk polynomials using certain represe
 ntations of the Lie algebra sl_n. In this talk, we will present a superizat
 ion of this interpretation, introduce super Krawtchouk polynomials with ant
 icommuting variables, and explore their connection with zonal spherical fun
 ctions on oriented Grassmannians. This is a joint work in progress with Pla
 men Iliev.\n
X-ALT-DESC;FMTTYPE=text/html:<p dir="ltr" style="margin: 12px 0px 0px; outline: none; position: relative
 ; color: #212121; font-size: 11pt; font-style: normal; font-weight: 400; fo
 nt-family: Lato, sans-serif; line-height: 1.6667; padding-bottom: 0px; lett
 er-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-t
 ransform: none; widows: 2; word-spacing: 0px; white-space: normal;"><span s
 tyle="font-size: 12pt; font-variant: normal; vertical-align: baseline;"><sp
 an></span></span><span style="color: #242424; font-size: 12pt; vertical-ali
 gn: baseline;">Krawtchouk polynomials constitute a family of orthogonal pol
 ynomials with applications in probability theory. In 2012, Iliev gave a Lie
 -theoretic interpretation of the multivariate Krawtchouk polynomials using 
 certain representations of the Lie algebra sl_n. In this talk, we will pres
 ent a superization of this interpretation, introduce super Krawtchouk polyn
 omials with anticommuting variables, and explore their connection with zona
 l spherical functions on oriented Grassmannians. This is a joint work in pr
 ogress with Plamen Iliev.</span></p>
CONTACT:Songhao Zhu
DTSTAMP:20260826T215140
DTSTART;TZID=America/New_York:20260324T001000
DTEND;TZID=America/New_York:20260324T131000
SEQUENCE:0
TRANSP:OPAQUE
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