SMRI Seminar Series: Bridgeland -- Introduction to derived categories of coherent sheaves

Time & Date: Wednesdays 10am-12pm from 26th February until 27th May 

***UPDATE*** LAST LECTURE 11/3 - CANCELLED DUE TO COVID-19 ***UPDATE***

Location: Carslaw Seminar 535 

Abstract: These lectures will cover some basic results about derived categories of
coherent sheaves (e.g.  the structure of the derived category of a curve, Fourier-Mukai
transforms and how to construct them, tilting bundles, auto-equivalence groups, perhaps
spaces of stability conditions).  I will assume that the audience is vaguely familiar
with the definition of derived and triangulated categories, but I will spend a fair
amount of time in the first few lectures trying to give some intuitive feel for these
general constructions, and explaining how one makes calculations in practice.  I will
also need to assume some familiarity with basic algebraic geometry and sheaf theory.