Mckay correspondence and cohomological Hall algebras

Abstract: It is shown that derived McKay correspondence for type A Kleinian singularities induces an isomorphism of cohomological Hall algebras associated to semistable objects of fixed slope. Moreover, these algebras are explicitely determined in terms of Yangians associated to finite type A Dynkin quivers. This is joint work with Mauro Porta and Francesco Sala.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar