NRU HSE
Complex algebraic geometry and Hodge theory
Wednesdays, Saturdays, 16:2017:40, room 306
Announcement and literature
Slides:
 Lecture 1: Complex manifolds (September 23, 2020).
 Lecture 2: Cauchy formula (September 26, 2020).
 Lecture 3: Frobenius theorem (September 30, 2020).
 Lecture 4: Another proof of Frobenius theorem; real structures
(October 3, 2020).
 Lecture 5: Real analytic manifolds
(October 7, 2020).
 Lecture 6: Proof of NewlanderNirenberg theorem for real analytic manifolds
(October 10, 2020).

Lecture 7: Homogeneous spaces and Kähler metrics
(October 14, 2020).

Lecture 8: LeviCivita connection
(October 17, 2020).

Lecture 9: Symplectic connections
(October 21, 2020).

Lecture 10: Bismut connections
(October 24, 2020).

Lecture 11: Hodge $*$ operator
(October 27, 2020).

Lecture 12: Supersymmetry on Kähler manifolds.
(October 31, 2020).

Lecture 13: Cohomology and a circle action.
(November 4, 2020).

Lecture 14: Dolbeault cohomology of a torus.
(November 7, 2020).

Lecture 15: PoincaréDolbeaultGrothendieck lemma.
(November 11, 2020).

Lecture 16: RiemannHilbert correspondence
(November 14, 2020).
Handouts
Miscellanea: test problems, exam, etc.