Giovanni Cerulli
Irelli
Degeneration order for quivers with self-duality of finite
representation type.
Abstract: We show that the degeneration order between symplectic
or
orthogonal representations of a symmetric quiver (or quiver with
self-duality) of finite type is induced by the usual
degeneration
order. After a quite long introduction on symmetric
quivers,
introduced by Derksen and Weyman in 2002, I will give the ideas
behind the proof of this result and the possible applications to
the
study of linear degenerations of flag varieties of type B,C and
D.