Dynamical algebraic
combinatorics studies
actions
on mathematical objects with strikingly nice
counting formulas and
algebraic significance.
Often, the study of such dynamics provides insight into
the structure of the objects, revealing hidden
symmetries and connections.
In
this talk, I'll describe some recent work on
mathematical objects called webs, in
which we found a beautiful,
visual explanation of nice dynamical behavior which
led us to a solution of a 30-year old problem.
(Joint work with Christian Gaetz,
Oliver Pechenik, Stephan Pfannerer, and Joshua Swanson.)