MAT 545: Complex Geometry

Stony Brook            Fall 2019

 

General Course Information, G&H Errors/Typos

Tentative Schedule

All assigned readings below are from G&H.

Date Topic Read Problem Set
8/27, TuFunctions of one complex variable pp1-5 #1
8/29, ThFunctions of several complex variables pp6-9
9/3, TuAnalytic varietiespp9-14
9/5, ThComplex manifoldspp14-20
9/10, TuDolbeault cohomology pp23-27 #2
9/12, ThAnalytic subvarities and integration pp12-14,27-34
9/17, TuSheavespp34-38
9/19, ThSheaf cohomologypp38-49
9/24, TuReview/overview of algebraic topology pp49-60 #3
9/26, ThIntersections of cycles in manifolds
10/1, TuIntersections of analytic cycles pp60-67
10/3, ThHermitian vector bundlespp67-80
10/8, TuHodge Theorem and applications pp80-84,100-106 #4
10/10, Th Elliptic operators on compact manifolds  
10/17, ThFourier series and applications pp84-91
10/22, TuProof of elliptic regularity pp92-100
10/24, Th
10/31, Th
11/5, ThKahler manifolds and Hodge identities pp106-115 #5
11/7, TuHodge and Lefschetz decompositions pp116-126
11/12, TuLine bundles and divisors pp128-136 #6
11/14, ThAdjunction formulas, first chern class pp136-148
11/19, TuVanishing theorems pp148-156,159-161
11/21, ThSymplectic Topology Seminar in Math 5-127
11/26, TuSome applications pp156-159,161-164#7
12/3, TuMaps to projective spaces pp176-182
12/5, ThBlowupspp182-189
 

This page is maintained by Aleksey Zinger.
Last modified: November 7, 2019.