Kaleb Ruscitti (University of Waterloo)
SAGBI basis for quiver semi-invariants using linked tableaux
There is a well-known construction of a SAGBI basis for the co-ordinate ring of a Grassmannian that is described using semi-standard young tableaux. Kalashnikov and Heuberger generalized parts of this theory to arbitrary moduli spaces of quiver representations by introducing linked tableaux sets, and then used these to describe a SAGBI basis for the semi-invariants of the Kronecker quiver. In this talk I will discuss the further extension of this theory to provide a SAGBI basis for any acyclic quiver, indexed by the semi-standard linked tableaux sets of an associated bipartite quiver.
From 10:30-11:00 there will be a pre-seminar where we go over Young Tableaux and their relationship to semi-invariants of the Grassmannian.
MC 5403