Study group on Galois cohomology

Where and when

Talks will be 3-4pm Fridays in B3.01 unless otherwise stated.

References

• Neukirch--Schmidt--Wingberg, Cohomology of number fields
• Tate, Galois cohomology (link)
  
• Milne, Arithmetic Duality Theorems (link) (good for #5 and #6)
  
• Garrett's notes (for #3)
  
• Bloch and Kato, L-functions and Tamagawa numbers of motives (for #7)
  
• Coates and Sujatha, Galois cohomology of elliptic curves

Programme

Thanks to Florian for transcribing notes of all the talks so far.

#	Date	Speaker	Topic
1	Fri 17/1	Chris B.	Definition and first properties of group cohomology — notes
2	Fri 24/1	Matthew	Further properties of group cohomology; relations to topological cohomology — notes
3	Fri 31/1	Florian	Cohomology of arithmetic groups and the Eichler-Shimura isomorphism — notes
4	Fri 7/2	Angelos	Basics of Galois cohomology; Hilbert 90, etc — notes
5	Fri 14/2	Pedro	Cohomology of local fields and Tate duality — notes
5½	Tue 18/2	Chris W.	Interlude: Cohomology and extensions — notes
6	Fri 21/2	Marc	Cohomology of global fields and Poitou-Tate duality — notes
7	Fri 28/2	Chris W.	Some p-adic Hodge theory — notes
8	Fri 7/3	Celine	Selmer groups and Kummer theory for elliptic curves — Celine's notes — Florian's notes
9	TBA (next term)	David	The Coates-Wiles theorem