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BEGIN:VEVENT
UID:1505895ff9df5556332a98a9e0f269f6
CATEGORIES:Experimental Mathematics Seminar
CREATED:20210831T103819
SUMMARY:Difference Ring Algorithms for Symbolic Summation and Challenging Applications
LOCATION:zoom
DESCRIPTION:Abstract: A major breakthrough in symbolic summation was Doron Zeilberger's
  creative telescoping method to compute linear recurrences of definite hype
 rgeometric sums. In this talk I will illustrate the algorithmic framework i
 n the setting of difference rings in which one can extend Z's method for su
 mmands that are built by indefinite nested sums and products. In combinatio
 n with a sophisticated recurrence solver one obtains a rather general machi
 nery to simplify big classes of definite multi-sums to expressions in terms
  of indefinite nested sums and products. The underlying difference ring alg
 orithms implemented in the summation package Sigma will be illustrated by n
 on-trivial applications coming, e.g., from combinatorics and particle physi
 cs.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ;"><em>Abstract</em>: A major breakthrough in symbolic summation was Doron 
 Zeilberger's creative telescoping method to compute linear recurrences of d
 efinite hypergeometric sums. In this talk I will illustrate the algorithmic
  framework in the setting of difference rings in which one can extend Z's m
 ethod for summands that are built by indefinite nested sums and products. I
 n combination with a sophisticated recurrence solver one obtains a rather g
 eneral machinery to simplify big classes of definite multi-sums to expressi
 ons in terms of indefinite nested sums and products. The underlying differe
 nce ring algorithms implemented in the summation package Sigma will be illu
 strated by non-trivial applications coming, e.g., from combinatorics and pa
 rticle physics.</p>
CONTACT:Carsten Schneider, RISC-Linz (Austria)
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\nPassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420
DTSTAMP:20260827T154440
DTSTART;TZID=America/New_York:20210916T170000
DTEND;TZID=America/New_York:20210916T180000
SEQUENCE:0
TRANSP:OPAQUE
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