University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Canonical dimension estimates for p-adic Lie groups

Canonical dimension estimates for p-adic Lie groups

Add to your list(s) Download to your calendar using vCal

  • UserChristian Johansson
  • ClockWednesday 12 October 2016, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

Let G be a compact p-adic Lie group with Iwasawa algebra R over Qp. Any finitely generated R-module M has an invariant, called its canonical dimension, which equals the dimension of the support of M if G is commutative. Ardakov and Wadsley proved that if the Lie algebra of G is split and semisimple, there is a nontrivial constant C=C(G) such that any module with dimension less than C has dimension 0. I will talk about how to remove the condition that the Lie algebra of G is split, and also detail my motivation for thinking about modules over Iwasawa algebras. This is joint work with Konstantin Ardakov.

This talk is part of the Algebra and Representation Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity