# Math 582e: Galois Cohomology - Lectures

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Everything together as one single typeset document
Also:
PART 1: Group Cohomology
M 1/4 G-Modules: definition & examples 582e-2010-01-04.pdf
W 1/6 Derived Functors (basic category theory); definition of cohomology of groups 582e-2010-01-06.pdf
F 1/8 Computing cohomology (cocycles mod coboundaries): 582e-2010-01-08.pdf
M 1/11 Morphisms of Pairs, I 582e-2010-01-11.pdf
W 1/13 Morphisms of Pairs, II 582e-2010-01-13.pdf (scan is an extended version of previous scan!)
F 1/15 Students meet to discuss homework, since I'll be in San Francisco.
M 1/18 NO CLASS -- MLK Day
W 1/20 The Inf-Res Sequence; Intro to cohomology Sets 582e-2010-01-20.pdf
F 1/22 Exact sequence of Cohomology Sets 582e-2010-01-22.pdf
M 1/25 Tate Cohomology Groups 582e-2010-01-25.pdf
W 1/27 Complete resolution; Cores 582e-2010-01-27.pdf
F 1/29 Cup product; cyclic groups 582e-2010-01-29
M 2/1 No class -- I will be in Washington, DC
W 2/3 No class -- I will be in Washington, DC
PART 2 BEGINS: Galois Cohomology
F 2/5 Galois Cohomology: Examples and ideas 582e-2010-02-05
M 2/8 Kummer theory: 582e-2010-02-08
W 2/10 Brauer Groups: 582e-2010-02-10
F 2/12 Principal Homogenous Spaces for Abelian Varieties: 582e-2010-02-12
M 2/15 NO CLASS -- Presidents Day
W 2/17 Galois Cohomology of Abelian Varieties
F 2/19 Tate local duality, part 1
M 2/22 Tate local duality, part 2
W 2/24 Global duality, part 1
F 2/26 Global duality, part 2
M 3/1 Etale Cohomology, part 1
W 3/3 Etale Cohomology, part 2
F 3/5 Etale Cohomology, part 3
M 3/8 TBA
W 3/10 TBA
F 3/12 TBA