Algebra Seminar (past)
|
Tue, 17/10/2006 17:00 |
Dr. M. J. Collins (University College, Oxford) |
Algebra Seminar  |
L1 |
|
Tue, 10/10/2006 17:00 |
Prof. C.W. Parker (University of Birmingham) |
Algebra Seminar |
L1 |
|
Tue, 30/05/2006 17:00 |
Dr. Sarah Witherspoon (Texas A&M / Munich) |
Algebra Seminar |
L1 |
|
Tue, 23/05/2006 17:00 |
Dr. Michael Collins (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 16/05/2006 17:00 |
Dr. Nikolay Nikolov (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 09/05/2006 17:00 |
Prof. Mark Ronan (University of Illinois, Chicago) |
Algebra Seminar |
L1 |
|
Tue, 02/05/2006 17:00 |
Prof. J.S. Wilson (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 25/04/2006 17:00 |
Prof. Michael Vaughan-Lee (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 07/03/2006 17:00 |
Professor Bernd Fischer (Bielefeld) |
Algebra Seminar |
L1 |
|
Tue, 28/02/2006 17:00 |
Dr. Bjoern Assmann (St. Andrews / Oxford) |
Algebra Seminar |
L1 |
|
Tue, 21/02/2006 17:00 |
Dr. Peter Neumann (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 14/02/2006 17:00 |
Dr. Inna Korchagina (Birmingham) |
Algebra Seminar |
L1 |
|
Tue, 31/01/2006 17:00 |
Professor Aner Shalev (Jerusalem) |
Algebra Seminar |
L1 |
|
Tue, 24/01/2006 17:00 |
Dr. Martin Kassabov (Cornell) |
Algebra Seminar |
L1 |
|
Tue, 17/01/2006 17:00 |
Prof. Dave Benson (Aberdeen) |
Algebra Seminar |
L1 |
|
Tue, 29/11/2005 17:00 |
Dr Jamshid Derakhshan |
Algebra Seminar |
L1 |
|
Tue, 22/11/2005 17:00 |
Dr Peter Neumann (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 15/11/2005 17:00 |
Dr Simon Goodwin (Oxford) |
Algebra Seminar |
L1 |
|
Tue, 08/11/2005 17:00 |
Dr Mikhail Belolipetsky (Durham) |
Algebra Seminar |
L1 |
| My lecture is based on results of [1] and [2]. In [1] we use an extension of the method due to Borel and Prasad to determine the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group. In [2] the results of [1] are combined with the previously known asymptotic of the number of subgroups in a given lattice in order to study the general lattice growth. We show that for many high-rank simple Lie groups (and conjecturally for all) the rate of growth of lattices of covolume at most $x$ is like $x^{\log x}$ and not $x^{\log x/ \log\log x}$ as it was conjectured before. We also prove that the conjecture is still true (again for "most" groups) if one restricts to counting non-uniform lattices. A crucial ingredient of the argument in [2] is the existence of towers of field extensions with bounded root discriminant which follows from the seminal work of Golod and Shafarevich on class field towers. I plan to give an overview of these recent results and discuss some ideas beyond the proofs. [1] M. Belolipetsky (with an appendix by J. Ellenberg and A. Venkatesh), Counting maximal arithmetic subgroups, arXiv: math.GR/0501198. [2] M. Belolipetsky, A. Lubotzky, Class field towers and subgroup growth, work in progress. | |||
|
Tue, 01/11/2005 17:00 |
Prof. Peter Kropholler (Glasgow) |
Algebra Seminar |
L1 |
