On degeneration and extensions of symplectic and orthogonal quiver representations

On degeneration and extensions of symplectic and orthogonal quiver  representations

Motivated by linear degenerations of flag varieties, and the 
study of 2-nilpotent B-orbits for classical groups, I will review the 
representation theory of symmetric quivers, initiated by Derksen and 
Weyman in 2002. I will then focus on the problem of describing the orbit 
closures in this context and how to relate it to the orbit closures for 
the underlying quivers. In collaboration with M. Boos we have recently 
given an answer to this problem for symmetric quivers of finite type. I 
believe that this result is a very special case of a much deeper and 
general result that I will mention in the form of conjectures and open 
problems. The talk is based on the preprint version of my paper with 
Boos available on the arXiv as 2106.08666.