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Tag Archives: Ktheory
The stable cohomology of SL(F_p)
Back by popular demand: an actual mathematics post! Today’s problem is the following: compute the cohomology of for a (modp) algebraic representation. Step 0 is to say what this problem actually is. It makes sense to talk about certain algebraic … Continue reading
Posted in Mathematics, Uncategorized
Tagged completed cohomology, completed Ktheory, Eric Friedlander, Evens, Ktheory, stable cohomology
3 Comments
Stable completed homology without QuillenLichtenbaum
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, Ktheory, Milnor, Moore, Neisendorfer, Paul Goerss, Quillen, Soule
1 Comment
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, Ktheory, 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 3manifold, 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, GaussManin connection, Hypergeometric Functions, Ktheory, Leopoldt Conjecture, Periods, PicardFuchs
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