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math.AG2015
Geometric and analytic structures on the higher adèles
Oliver Braunling, Michael Groechenig, Jesse Wolfson
The adèles of a scheme have local components - these are topological higher local fields. The topology plays a large role since Yekutieli showed in 1992 that there can be an abunda…
math.AG2015
Operator ideals in Tate objects
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Tate's central extension originates from 1968 and has since found many applications to curves. In the 80s Beilinson found an n-dimensional generalization: cubically decomposed alge…