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BEGIN:VEVENT
UID:59f5bdfa662fb6e829b21b67893a505f
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20250403T145432
SUMMARY:Differential Operators for Macdonald's Hypergeometric Functions
LOCATION:Hill 705
DESCRIPTION:Date: 04/09/2025Speaker: Hong Chen (https://sites.math.rutgers.edu/~hc813/)
  (Rutgers)\nTitle: Differential Operators for Macdonald's Hypergeometric Fu
 nctions\nAbstract: In his widely circulated 1980s manuscript (now available
  as [arXiv:1309.4568]), Macdonald introduced hypergeometric functions with 
 a parameter alpha (the Jack parameter) and posed foundational questions abo
 ut their properties. In this talk, I will present a general construction of
  differential operators pDq that characterize Macdonald’s hypergeometric fu
 nctions pFq for arbitrary p and q. These operators generalize the ones stud
 ied by Constantine--Muirhead, Fujikoshi, and Macdonald. \n
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 on: relative;"><span style="font-family: Lato, Arial; font-size: 11pt; font
 -variant: normal; font-weight: bold; vertical-align: baseline;">Date</span>
 <span style="font-size: 11pt; font-variant: normal; vertical-align: baselin
 e;">: 0</span><span style="font-size: 11pt; vertical-align: baseline;">4</s
 pan><span style="font-size: 11pt; font-variant: normal; vertical-align: bas
 eline;">/0</span><span style="font-size: 11pt; vertical-align: baseline;">9
 </span><span style="font-size: 11pt; font-variant: normal; vertical-align: 
 baseline;">/2025</span></div><p dir="ltr" style="margin: 12px 0px 0px; outl
 ine: none; position: relative; text-decoration: inherit; color: #212121; fo
 nt-size: 11pt; font-style: inherit; font-weight: 400; font-family: Lato, sa
 ns-serif; line-height: 1.6667;"><span style="font-family: Lato, Arial; font
 -variant: normal; font-weight: bold;">Speaker</span><span style="font-varia
 nt: normal;">:&nbsp;</span><a href="https://sites.math.rutgers.edu/~hc813/"
  target="_blank" rel="noopener" style="color: inherit; text-decoration: non
 e;"><span style="color: #006580; text-decoration: underline;">Hong Chen</sp
 an></a><span style="font-variant: normal;">&nbsp;(Rutgers)</span></p><p dir
 ="ltr" style="margin: 12px 0px 0px; outline: none; position: relative; text
 -decoration: inherit; color: #212121; font-size: 11pt; font-style: inherit;
  font-weight: 400; font-family: Lato, sans-serif; line-height: 1.6667;"><sp
 an style="font-family: Lato, Arial; font-variant: normal; font-weight: bold
 ;">Title</span><span style="font-variant: normal;">:&nbsp;</span>Differenti
 al Operators for Macdonald's Hypergeometric Functions</p><p dir="ltr" style
 ="margin: 12px 0px 0px; outline: none; position: relative; text-decoration:
  inherit; color: #212121; font-size: 11pt; font-style: inherit; font-weight
 : 400; font-family: Lato, sans-serif; line-height: 1.6667; padding-bottom: 
 0px;"><span style="font-family: Lato, Arial; font-variant: normal; font-wei
 ght: bold;">Abstract</span><span style="font-variant: normal;">:&nbsp;</spa
 n>In his widely circulated 1980s manuscript (now available as [<a href="htt
 ps://arxiv.org/abs/1309.4568" target="_blank" rel="noopener" style="color: 
 inherit; text-decoration: none;"><span style="color: #006580; text-decorati
 on: underline;">arXiv:1309.4568</span></a>]), Macdonald introduced hypergeo
 metric functions with a parameter alpha (the Jack parameter) and posed foun
 dational questions about their properties. In this talk, I will present a g
 eneral construction of differential operators pDq that characterize Macdona
 ld’s hypergeometric functions pFq for arbitrary p and q. These operators ge
 neralize the ones studied by Constantine--Muirhead, Fujikoshi, and Macdonal
 d.&nbsp;</p></div></div></div></div></div></div></div></div></div></section
 ><section id="h.6936e4438f6c6b5c_4" style="display: table; position: relati
 ve; table-layout: fixed; width: 1349.7px; padding-bottom: 0px; padding-top:
  0px; color: #000000; font-family: sans-serif; font-size: 16px; font-style:
  normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: 
 start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px
 ; white-space: normal;"></section>
CONTACT:Hong Chen
DTSTAMP:20260826T185626
DTSTART;TZID=America/New_York:20250409T104500
DTEND;TZID=America/New_York:20250409T234500
SEQUENCE:0
TRANSP:OPAQUE
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