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SUMMARY:Robert Osburn (University College Dublin)
DTSTART:20201208T150000Z
DTEND:20201208T170000Z
DTSTAMP:20260423T035926Z
UID:EIMINT/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EIMINT/12/">
 Generalized Fishburn numbers\, torus knots and quantum modularity</a>\nby 
 Robert Osburn (University College Dublin) as part of EIMI Number Theory Se
 minar\n\n\nAbstract\nThe Fishburn numbers are a sequence of positive integ
 ers with numerous combinatorial interpretations and interesting asymptotic
  properties. In 2016\, Andrews and Sellers initiated the study of arithmet
 ic properties of these numbers. In this talk\, we discuss a generalization
  of this sequence using knot theory and the quantum modularity of the asso
 ciated Kontsevich-Zagier series.\n\nThe first part is joint work with Coli
 n Bijaoui (McMaster)\, Hans Boden (McMaster)\, Beckham Myers (Harvard)\, W
 ill Rushworth (McMaster)\, Aaron Tronsgard (Toronto) and Shaoyang Zhou (Va
 nderbilt) while the second part is joint work with Ankush Goswami (RISC).\
 n
LOCATION:https://researchseminars.org/talk/EIMINT/12/
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