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Tag Archives: K-theory
Stable completed homology without Quillen-Lichtenbaum
Having just made (hopefully) the final revisions on my paper on stable completed cohomology groups, I wanted to record here a few remarks which didn’t otherwise make it into the paper. The first is that, in addition to the result … Continue reading
Posted in Mathematics
Tagged Borel, completed cohomology, K-theory, Milnor, Moore, Neisendorfer, Paul Goerss, Quillen, Soule
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K_2(O_F) for number fields F
Belabas and Gangl have a nice paper ( Generators and relations for , which can be found here) where they compute for a large number of quadratic fields . There main result is a method for proving upper bounds for … Continue reading
Posted in Mathematics
Tagged Alexander Rahm, Aurel Page, Banaszak, Belabas, Bloch, Borel, Brownkin, Chern class map, Euler System, Gangl, Higher Regulators, Hutchinson, K-theory, magma, pari, Popescu, Soule, Stark, Tricky Computation, Zagier
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Virtual Congruence Betti Numbers
Suppose that is a real semisimple group and that is a compact arithmetic locally symmetric space. Let us call a cohomology class tautological if it is invariant under the group . For example, if is a 3-manifold, then the tautological … Continue reading
Catalan’s Constant and periods
There is a 60th birthday conference in honour of Frits Beukers in Utrech in July; I’m hoping to swing by there on the way to Oberwolfach. Thinking about matters Beukers made me reconsider an question that I’ve had for while. … Continue reading
Posted in Mathematics
Tagged Apéry, Beukers, Gauss-Manin connection, Hypergeometric Functions, K-theory, Leopoldt Conjecture, Periods, Picard-Fuchs
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