Comments on: Anabelian vs. Noncommutative Geometry

By: Anabelian & Noncommutative Geometry 2 at neverendingbooks

Anabelian & Noncommutative Geometry 2 at neverendingbooks — Thu, 20 Dec 2007 20:55:24 +0000

[...] Last time (possibly with help from the survival guide) we have seen that the universal map from the modular group to its profinite completion (limit over all finite index normal subgroups ) gives an embedding of the sets of (continuous) simple finite dimensional representations [...]

By: Gaspard

Gaspard — Fri, 14 Dec 2007 17:44:06 +0000

Whaouh, thanks for the survival guide! I’ll try to catch up now…

By: lieven

lieven — Fri, 14 Dec 2007 11:05:01 +0000

Ive added a post “profinite groups survival guide”. I hope it helps a bit.
As to the second : I was send the paper a few weeks ago, probably to comment on it but unfortunately i didnt do this. My only excuse is that I teach 13hrs a week this semester, leaving me with very little energy left…
Ill try to get through the paper later.

By: profinite groups survival guide at neverendingbooks

profinite groups survival guide at neverendingbooks — Fri, 14 Dec 2007 10:39:19 +0000

[...] similar map restricted to simple representations). I hope this clarifies a bit obscure terms in the previous post. If not, drop a comment. Digg This [?] Share This SHARETHIS.addEntry({ title: “profinite groups [...]

By: Gaspard

Gaspard — Thu, 13 Dec 2007 09:48:14 +0000

Very interesting but over my head for now sadly: would you please have a good reference to learn things like “profinite groups”, is this standard “commutative algebra”?

Also, somewhat off-topic: there’s a paper out today which refers to some of your work and which seems natural seen even by a non-specialist, http://arxiv.org/PS_cache/arxiv/pdf/0712/0712.1892v1.pdf which apparently introduces determinants of finite dimensional algebras (I naÃ¯vely thought this would have been worked out a long time ago). Any comments?