Welcome to MATH 232BR: Algebraic Geometry II

Location: Science Ctr 411 (FAS)
Meeting Time: Mon 12:15-13:30; Fri 11:45-13:00

Textbook:

Toric Varieties by David Cox, John Little, and Hal Schenck.

Contact information:

Man Wai (Mandy) Cheung @ Science Center room 505H
Office hour: Tue 13:30-14:30
Send me an email to schedule a chat if you cannot make these office hours.

Announcement:

  • Feb 8 (Friday) class switch to Feb 7 (Thurs) noon - 13:15 at SC 411
  • Schedule between Mar 11 to Apr 2: Mar 12 @116, Mar 14; Mar 27; Apr 2 @116, noon-1:15pm
  • Apr 8 class switch to Apr 10

Schedule of the class:

Jan 28: The 4 definitions of affine toric varieties
Feb 4: Cones
Feb 7: Properties of affine toric varieties
Feb 11: Projective toric varieties
Feb 15: Polytopes
Feb 18: Fans and orbit-cone correspondence
Feb 22: polytopes and projective toric varietes
Feb 25: toric morphisms; complete and proper
Mar 1: Weil divisors; Cartier divisors
Mar 4: sheaf of a torus-invariant divisor; Quotient constructions of toric varieties
Mar 8: Quotient constructions of toric varieties; total coordinate ring
Mar 12: Ideal-variety correspondence; homogenization and polytope
Mar 14: Cluster varieties
Mar 27: Quintic mirror family
Apr 1: Sheaves and line bundles; basepoint free divisors
Apr 5: Ample and basepoint free divisors; polytope & fan correspondence
Apr 10: Nef and Mori Cones
Apr 12: Hirzebruch surface
Apr 15: Hirzebruch surface
Apr 19:
Apr 22:
Apr 24: