Representation Theory Seminar
|
Thu, 24/04/2008 14:30 |
Kevin McGerty (Imperial College, London) |
Representation Theory Seminar  |
L3 |
| Lusztig discover an integral lift of the Frobenius morphism for algebraic groups in positive characteristic to quantum groups at a root of unity. We will describe how this map may be constructed via the Hall algebra realization of a quantum group. | |||
|
Thu, 01/05/2008 14:30 |
Volodymyr Mazorchuk (University of Glasgow/Uppsala University) |
Representation Theory Seminar |
L3 |
| For a positively graded algebra A we construct a functor from the derived category of graded A-modules to the derived category of graded modules over the quadratic dual A^! of A. This functor is an equivalence of certain bounded subcategories if and only if the algebra A is Koszul. In the latter case the functor gives the classical Koszul duality. The approach I will talk about uses the category of linear complexes of projective A-modules. Its advantage is that the Koszul duality functor is given in a nice and explicit way for computational applications. The applications I am going to discuss are Koszul dualities between certain functors on the regular block of the category O, which lead to connections between different categorifications of certain knot invariants. (Joint work with S.Ovsienko and C.Stroppel.) | |||
|
Thu, 08/05/2008 14:30 |
Ana Paula Santana (Coimbra) |
Representation Theory Seminar |
L3 |
|
Thu, 15/05/2008 14:30 |
Rosemary Bailey (QMUL) |
Representation Theory Seminar |
L3 |
|
Thu, 22/05/2008 14:30 |
Will Turner (Oxford) |
Representation Theory Seminar |
L3 |
|
Thu, 29/05/2008 14:30 |
Olivier Mathieu (Lyon1) |
Representation Theory Seminar |
L3 |
| joint work with R Gurjar | |||
