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UID:b5f6b63eb9056d1dc9f9333717d1883e
CATEGORIES:Experimental Mathematics Seminar
CREATED:20260409T185754
SUMMARY:Computational and Experimental Methods in Permutation Patterns
LOCATION:https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan number\, 
 alias (40)!/(20!*21!)
DESCRIPTION:<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;">For most of its existence, a hallmark of permutation patte
 rns research has been the use of computers. Our research is regularly made 
 possible by the ability to write a simple script to generate permutations w
 ith some certain property, helping us to discover an interesting theorem; o
 r to open up Sage, or Maple, or Mathematica and perform some large generati
 ng function calculation; or to use one of the several existing large permut
 ation patterns software libraries to test some intriguing conjectures.</p><
 p style="color: #000000; font-family: 'Times New Roman'; font-size: medium;
  font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; t
 ext-indent: 0px; text-transform: none; white-space: normal; widows: 2; word
 -spacing: 0px;">The quest to understand permutation classes has led to the 
 import of computational methods from other areas into the field of permutat
 ion patterns, as well as the development of a number of new techniques. Som
 e of these methods produce rigorous results, assuming the correctness of th
 e software implementation. Others are experimental in the sense that their 
 output should be considered conjectural. The popularity of permutation patt
 erns has even led to some of these computational techniques making the jump
  to other areas of combinatorics. This talk will survey a collection of the
 se methods, including some developed by myself and my collaborators.</p>
CONTACT:  Jay Pantone, Marquette University
DTSTAMP:20260827T005640
DTSTART;TZID=America/New_York:20260416T170000
DTEND;TZID=America/New_York:20260416T180000
SEQUENCE:0
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