Type: Seminar

Modified: Mon 16 Mar 2020 1029; Tue 17 Mar 2020 1628; Thu 19 Mar 2020 1243; Mon 30 Mar 2020 1037; Wed 22 Apr 2020 1412

Distribution: World

Expiry: 27 May 2020

CalTitle1: Introduction to derived categories of coherent sheaves

Calendar2: 4 Mar 2020 1000-1200

CalLoc2: Carslaw 535

CalTitle2: Introduction to derived categories of coherent sheaves

Calendar3: 11 Mar 2020 1000-1200

CalLoc3: Carslaw 535

CalTitle3: Introduction to derived categories of coherent sheaves

Auth: hannahb@10.165.80.120 (hbry8683) in SMS-LDAP

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.