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Kato complexes: conjectures and results

Presented by: 
U Jannsen [Regensburgh]
Date: 
Friday 4th October 2002 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Session Title: 
K-theory and arithmetic
Abstract: 
For rather general schemes Kato defined complexes which are Galois cohomology analogues of the Gersten complexes in K-theory (Crelle 366: `A Hasse principle for 2-dimensional local fields'). He stated some conjectures and proved them in low dimensions. I will report on the results known so far (partly due to myself) and some relationships with étale dulaity (recent joint work with Saito and Sato).
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons