Algorithms and numbers of generators for finite matrix groups
Derek Holt, University of Warwick
Thursday 7 October 2010, 16:30-17:30
Watson Building, Lecture Room A
Abstract not available
On Behr's rank conjecture on the finiteness properties of S-arithmetic groups
Ralf Gramlich, University of Birmingham
Thursday 14 October 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
The isomorphism problem for almost split Kac-Moody groups
Guntram Hainke, University of Birmingham
Thursday 14 October 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
A refinement of the McKay conjecture for arbitrary finite groups
Anton Evseev, Queen Mary, University of London
Thursday 28 October 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
TBA
Sergey Shpectorov, University of Birmingham
Wednesday 10 November 2010, 14:00-15:00
Watson Building, Lecture Room A
Abstract not available
TBA
Peter Rowley, University of Manchester
Wednesday 10 November 2010, 15:00-16:00
Watson Building, Lecture Room A
Abstract not available
TBA
Rob Wilson, Queen Mary, University of London
Wednesday 10 November 2010, 16:30-17:30
Watson Building, Lecture Room A
Abstract not available
Aspherical values of rational Cherednik algebras
Stephen Griffeth, University of Edinburgh
Thursday 18 November 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
Modular Lie powers of relation modules and free central extensions of groups
Ralph Stohr, University of Manchester
Thursday 25 November 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
Lie theory for finite simple groups
Shahn Majid, Queen Mary, University of London
Thursday 9 December 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
Characteristic varieties of modules over enveloping algebras and Iwasawa algebras
Konstantin Ardakov, University of Nottingham
Thursday 16 December 2010, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
Irreducible actions of geometric subgroups of classical algebraic groups
Donna Testermann, EPFL
Thursday 10 February 2011, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
TBA
Martin Kassabov, University Southampton
Thursday 17 February 2011, 16:00-17:00
Watson Building, Lecture Room A
Abstract not available
Generalized spin representations
Guntram Hainke, University of Birmingham
Thursday 24 February 2011, 16:00-17:00
Watson Building, Lecture Room A
The special orthogonal group SOn(ℝ) is a maximal compact subgroup of SLn(ℝ). Its Lie algebra son(ℝ) is therefore called a maximal compact subalgebra of sln(ℝ), and it can be characterized as the fixed point set of the Cartan–Chevalley involution ω: A→−AT of sln(ℝ).
Kac–Moody algebras were introduced in the 1960s to generalize complex semisimple Lie algebras and have since then found applications in theoretical physics. For a Kac–Moody algebra g one can similarly define its maximal compact subalgebra as k = Fix ω.
In the case of g = E10(ℝ), theoretical physicists have discovered that the spin representation of so10(ℝ) = k(A9) ≤ k(E10) can be extended to a representation of k(E10).
In this talk, we discuss this representation and introduce a general framework which encompasses it. With the help of these so-called generalized spin representations, we derive some algebraic properties of maximal compact subalgebras of simply-laced Kac–Moody algebras.
This is joint work with Ralf Gramlich.
Finite groups of Lie type as Galois groups over rational numbers
Gordon Savin, University of Utah
Thursday 17 March 2011, 16:00-17:00
Watson Building, Lecture Room A
Let l be a rational prime. In a work with Khare and Larsen we proved that the groups of Lie type Bn, Cn and G2 over the finite field of order lk appear as Galois groups over rational numbers for infinitely many k. The main tool is l-adic representations attached to automorphic representations. Our approach consists of carefully constructing automorphic representations so that the corresponding l-adic representations give desired Galois groups.
Modules for elementary abelian groups and vector bundles on projective space
Dave Benson, University of Aberdeen
Wednesday 23 March 2011, 18:00-19:00
Watson Building, Lecture Room A
Abstract not available