Bridges23.txt

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Algorithmic Combinatorics Seminar and Computer Algebra Seminar

Title: Statistics for Unimodal Sequences

Speaker: Dr. Walter M. Bridges
(Universitaet zu Koeln, Germany)

Time: Wednesday, March 29, 2 p.m.
Place: Seminar room castle, RISC, Hagenberg

Abstract:  Unimodal sequences generalize integer partitions and are prevalent throughout mathematics, but until recently, comparatively less was known about their large statistical behavior.  We give an overview of probabilistic techniques used to study integer partitions and their adaptation to unimodal sequences; this relates to limit-shapes and distributions part sizes.  We then apply new developments in the theory of automorphic forms to prove precise asymptotic series for the rank of unimodal sequences.  This is joint work with Kathrin Bringmann.