Lectures
(07.01) Lecture 1. Introduction.
(09.01) Lecture 2. Functors of points.
(14.01) Lecture 3. Zariski sheaves and gluing.
(16.01) Lecture 4. Flat families.
(23.01) Lecture 5. Twisted cubics and hypersurfaces.
(28.01) Lecture 6. Twisted cubics again.
(30.01) Lecture 7. Castelnuovo-Mumford regularity.
(04.02) Lecture 8. Hilbert schemes of points.
(06-11.02) Lecture 9. Representability of the Hilbert scheme: projective space.
(13.02) Lecture 10. Representability of the Hilbert scheme: general case.
(18.02) Lecture 11. Mumford's example.
(25.02) Lecture 12. Deformation functors.
(27.02) Lecture 13. Obstruction theories.
(03.03) Lecture 14. Formal smoothness and versal families.
(31.03) Lecture 15. Abstract deformations of smooth schemes.
(02.04) Lecture 16. Schlessinger's theorem.
(07.04) Lecture 17. Proof of Schlessinger's theorem.
(09.04) Lecture 18. Abstract deformations revisited.
(14.04) Lecture 19. Deformations of isolated hypersurface singularities.
(16.04) Lecture 20. T1 lifting and unobstructedness of deformations of Calabi-Yaus.
(23.04) Lecture 22. Formal GAGA.