gives an intensive course
Lectures take place at the
HSE University, Faculty of Mathematics, 6 Usacheva str.,
= = = on Tuesdays, 17:00 – 19:00, room 213, and
= = = on Thursdays, 16:00 – 18:00, room 110.
Starting Tuesday, September 24th, 2019
The aim of the course is to give an introduction to Bridgeland theory together with various application of this theory to classical algebraic geometry: Brill-Noether Theory, curves on K3 surfaces, etc.
We give give a bird-eye view on these subjects, providing proofs only here and there but giving many examples.
Basic algebraic geometry, including schemes and sheaves (covered by Hartshorne and Schafarevich textbooks) and basic homological algebra, including derived categories and cohomologies of sheaves (covered by Gelfand-Manin).
– Brill-Noether theory
– K3 surfaces
This lecture series is made possible by the support of the Skolkovo Institute of Science and Technology