Pure Mathematics Seminar: Chris Braun
Chris Braun, City University, London
Wednesday 12 March 2014, 1600-1700
A54, Postgraduate Statistics Centre Lecture Theatre
Noncommutative localisation of algebras and modules
The localisation of a dg algebra (or more generally, a dg category) can be seen to be, in a certain precise sense, equivalent to the Bousfield localisation of its category of dg modules. In this talk I will explain what this means and show how this general abstract result has a range of concrete applications including the group completion theorem, characteristic classes of A-infinity algebras and a derived Riemann-Hilbert correspondence. This is joint work with Joe Chuang and Andrey Lazarev.