Algebra and Algebraic Geometry Seminar - Robert Osburn - Generalized Fishburn numbers, torus knots and quantum modularity

Description

Speaker: Robert Osburn

Title: Generalized Fishburn numbers, torus knots and quantum modularity

Abstract: The Fishburn numbers are a sequence of positive integers with numerous combinatorial interpretations and interesting asymptotic properties. In 2016, Andrews and Sellers initiated the study of arithmetic properties of these numbers. In this talk, we discuss a generalization of this sequence using knot theory and the quantum modularity of the associated Kontsevich-Zagier series.

Location: In Person CNH 223
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McMaster University - Faculty of Science | Math & Stats