Abstract: In many physical theories, the real, physical degrees of freedom are only to be found after modding out symmetries. However, homological algebra teaches us that resolving is superior to quotienting, and this is precisely what physicists independently (re)discovered.A powerful implementation of this idea is the B(atalin)V(ilkovisky)-formalism. In this series of three lectures, I will review some of its aspects, restricting myself to the toy-model of a function (the "action functional") on a finite-dimensional space X (the "space of fields"). My discussion will stay mostly on the classical level, and will be inspired in large part by recent work of G.Felder and D.Kazhdan, which offers an axiomatic approach.
Mathematical aspects of the BV-formalism
02.12.2016 11:30 - 13:15
Organiser: