Inverting elements in rings

Joseph Chuang (City University of London)

Wednesday 21st February, 2018 16:00-17:00 Maths 311B


Given some elements in a ring, we would like to invert them in a universal way.  For commutative rings this procedure is straightforward and well known. In the noncommutative case, these universal localisations still exist but have poorer homological properties. To improve matters we have to consider a derived version in which elements are inverted up to homotopy. In this talk I will describe joint work with Chris Braun and Andrey Lazarev giving an interpretation of derived localisations of rings in terms of representation theory. I will work out some examples and explain an application to finite groups.

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