HSE and Independent University
Complex algebraic geometry and Hodge theory
Wednesdays, 17:00-21:00, Saturdays, 14:00-17:00, room 306
Announcement and literature
Slides:
- Lecture 1: Differential operators (January 24, 2018)
- Lecture 2: Elliptic operators (January 27, 2018)
- Lecture 3: Compact operators (January 31, 2018)
- Lecture 4: Sobolev's $L^2$-spaces and Rellich lemma (February 3, 2018)
- Lecture 5: Fredholm operators (February 7, 2018)
- Lecture 6: Laplace operators are Fredholm (February 10, 2018)
- Lecture 7: Weitzenböck formula (February 14, 2018)
- Lecture 8: Sobolev lemma (February 17, 2018)
- Lecture 9: Almost complex manifolds (February 21, 2018)
- Lecture 10: Newlander-Nirenberg theorem (February 24, 2018)
- Lecture 11: Kähler manifolds (February 28, 2018)
- Lecture 12: Levi-Civita connection (March 3, 2018)
- Lecture 13: Bismut connection (March 7, 2018)
- Lecture 14: Supersymmetry for Kähler manifolds, part 1 (March 14, 2018)
Handouts
Miscellanea: test problems, exam, etc.