Algebraic and Enumerative combinatorics seminar -Oliver Pechenik-Revenge of the increasing tableau dynamics

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 longstanding plot by such tableaux to prevent me from explicating their combinatorial dynamics. Despite their reticence, we seem to be uncovering that these tableaux also have a mysterious second life in representation theory.

There will be a pre-seminar presenting relevant background at beginning graduate level starting at 1:30pm in MC 5417.