Ivan Loseu (Northeastern), Moduli spaces of instantons in Representation theory


Representation theory studies ways to represent algebraic objects (such as associative algebras) as algebras of linear operators on vector spaces. Physics has a long record of supplying interesting algebras to study. In my talk I will consider algebras that arise as quantizations of moduli spaces of instantons. I will review known results about representations of these algebras, mention their relevance to Physics, and, time permitting, outline some prospective developments: representations over fields of positive characteric are coming!