16 citations · 43 across the 20 of their papers we have counts for
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Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves
Oliver Braunling, Michael Groechenig, Jesse Wolfson
We investigate the properties of relative analogues of admissible Ind, Pro, and elementary Tate objects for pairs of exact categories, and give criteria for those categories to be…
Adelic Descent Theory
Michael Groechenig
A result of André Weil allows one to describe rank vector bundles on a smooth complete algebraic curve up to isomorphism via a double quotient of the set $\mathrm{GL}_n(\mathbb…
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…
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…