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UID:3227db6ac9226ca7783bd93194df6c1b
CATEGORIES:Experimental Mathematics Seminar
CREATED:20230118T091559
SUMMARY:Noncommutative generalized Catalan numbers and their generating functions
LOCATION:Zoom
DESCRIPTION:Abstract: In 1999 M. Aigner defined Catalan-like numbers as North-West entr
 ies of powers of semi-infinite three-diagonal matrices. In this talk I will
  generalize this construction to various matrices over noncommutative rings
  and discuss properties of the corresponding generating functions. I will a
 lso consider orthogonal polynomials associated with these "numbers". Most o
 f the results are new even in the commutative case. Joint work with A. Bere
 nstein and M. Gekhtman.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;"><em>Abstract</em>: In 1999 M. Aigner defined Catalan-like 
 numbers as North-West entries of powers of semi-infinite three-diagonal mat
 rices. In this talk I will generalize this construction to various matrices
  over noncommutative rings and discuss properties of the corresponding gene
 rating functions. I will also consider orthogonal polynomials associated wi
 th these "numbers". Most of the results are new even in the commutative cas
 e. Joint work with A. Berenstein and M. Gekhtman.</p>
CONTACT:Vladimir Retakh, Rutgers University
X-EXTRAINFO:Zoom Link: https://rutgers.zoom.us/j/94346444480\npassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420 ]
DTSTAMP:20260828T183200
DTSTART;TZID=America/New_York:20230302T170000
DTEND;TZID=America/New_York:20230302T180000
SEQUENCE:0
TRANSP:OPAQUE
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