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UID:4e6f85854f408b5936cbb5e786bcb5dd
CATEGORIES:Experimental Mathematics Seminar
CREATED:20260119T175828
SUMMARY:Mechanical proofs of partition identities through atomic relations
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;">nteger partition and q-series sum-to-product identities, s
 uch as the Rogers-Ramanujan identities, lie at the intersection of combinat
 orics, number theory, and the representation theory of affine Lie algebras.
  This talk will focus on the method of atomic relations, which has been dev
 eloped by Shashank Kanade and the author in recent years as a way to prove 
 these identities. In some cases, computer output from this method can guide
  human-constructed proofs, while in other cases, our proofs are totally com
 puter-generated. Applications of this method to problems involving cylindri
 c partitions and colored partitions will also be discussed.</p>
CONTACT: Matthew C. Russell
DTSTAMP:20260921T135846
DTSTART;TZID=America/New_York:20260205T170000
DTEND;TZID=America/New_York:20260205T180000
SEQUENCE:0
TRANSP:OPAQUE
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