Tag Archives: K-theory

Stable completed homology without Quillen-Lichtenbaum

Posted on January 21, 2015 by

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 , , , , , , , , | 1 Comment

K_2(O_F) for number fields F

Posted on September 4, 2014 by

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 , , , , , , , , , , , , , , , , , , , | Leave a comment

Virtual Congruence Betti Numbers

Posted on September 27, 2013 by

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 →

Posted in Mathematics | Tagged , , , , , , , , | 8 Comments

Catalan’s Constant and periods

Posted on May 4, 2013 by

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 , , , , , , , | Leave a comment