Rosly minicourse on twistor theory

During the period October 8 – November 15, 2013,
Andrei Mikhailov (IFT-UNESP) and Alexei Rosly (ITEP Moscow) will be giving a minicourse on Twistor Theory.

Tentative schedule: Tuesdays and Thursdays at 18:00 in Room 3 of IFT-UNESP. The first meeting will be on Tuesday October 8 at 18:00.

Course plan:
1. Short introduction into complex geometry by Andrei Mikhailov (5 lectures on Oct. 8, 10, 15, 17, 22):

Basic complex analysis. Analytic functions and main facts about them.
Complex structure on a manifold. Integrability conditions.
Holomorphic vector bundles.
Cohomology problems associated to holomorphic vector bundles.
Cohomology and deformation theory.
Complex projective space CPn.
Dolbeault and Cech cohomology.

2. Lectures by Alexei Rosly on twistor methods (5 lectures on Oct. 24, 29, 31, Nov. 12, 14):

Complexified space-time and twistor transform.
Self-duality equations as a zero curvature condition.
Twistor description of free massless fields of arbitrary spin.
Elements of the ADHM construction.
Example of solving the Self-Duality equations with help of twistors: tree level MHV amplitudes.
If time permits, supertwistors.