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Tutte Colloquium -Oliver Pechenik-Dynamics of Increasing Tableaux
2026-07-03 15:30 - 16:30 (America/Toronto)
SPEAKER:
Oliver Pechenik

AFFILIATION:
University of Waterloo

LOCATION:
MC 5501

ABSTRACT: Standard tableaux are certain grids of numbers that lead a
double life in algebraic combinatorics, with distinct roles in
geometry and in representation theory. Extending the geometry to
K-theory led to a corresponding extension of the combinatorics to a
theory of increasing tableaux. I will discuss a long and ongoing
program to explicate the combinatorial dynamics of these tableaux,
which seems to be revealing that they also have a mysterious second
life in representation theory. Despite the algebraic connections, the
core problem is fundamentally combinatorial: to give a sufficiently
good bijection between tableaux and a set of planar diagrams.
