Title: Topics in Algebraic Geometry
Duration:
March to June, 4 months, meeting twice a week, 90 minutes each class. Classes will be held Tuesdays and Thursdays from 15:30 to 17:00 at IMPA, Room 347, unless communicated otherwise.
Syllabus (Partial):
09.03 - 20.03: Intersection Theory (E. Esteves):
Chow groups, Chern classes, Chow rings, Schubert Calculus, Porteous Formula, Grothendieck-Riemann-Roch Theorem, Applications.
06.04 - 10.04: Moduli Theory (E. Esteves):
Functors, Representation by schemes, Algebraic spaces, Stacks, GIT quotients.
13.04 - 24.04: Higher Dimension Geometry (C. Araujo and S. Kovács):
Kodaira dimension, Fano varieties, Rational curves, Mori’s Bend and Break, Minimal Model Program, Moduli of varieties of general type.
11.05 - 15.05: Mini-courses at the Workshop “Tropical Geometry in the Tropics”.
18.05 - 22.05: Introductory talks at the Workshop “Higher Dimension Algebraic Geometry”.
25.05 - 29.05: Mini-courses at the Workshop “Rational Points/Pontos Racionais”.
01.06 - 05.06: Mini-courses at II ELGA.
08.06 - 12.06: II ELGA.
15.06 - 26.06: Applications of Algebraic Geometry (A. Dickenstein and K. Ranestad):Details on the remaining weeks will appear soon.
Observation: This is a regular course of the Doctor Program at IMPA, so it can be taken for credit.