Workshop on Computational Lie Theory
May 27 - June 7, 2002

Organizers
 William Casselman (UBC) & Friedrich Knop (Rutgers)

Pavillon Aisenstadt
Lecture room 6214 (6th floor)


MONDAY, MAY 27

08:30 - 09:30   Registration (Room 5345) and Coffee (Room 6245)

09:00 - 09:15   Opening Address

09:15 - 10:15   J. Stembridge

                "Practical algorithms for Weyl characters I"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   F. du Cloux

                "Computing Kazhdan-Lusztig polynomials for arbitrary

                Coxeter groups"

15:00 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   G. Lusztig (Chaire Aisenstadt 2001-2002)

                "Homomorphisms of the icosahedral group into reductive

                groups"

17:00           Reception

TUESDAY, MAY 28

09:15 - 10:15   M. van Leeuwen

                "The use of combinatorial objects in computational Lie

                theory"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   M. Noumi

                "Tropical Robinson-Schensted-Knuth correspondence and

                birational Weyl group actions"

15:00 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   A. Zelevinski

                "Y-systems and generalized associahedra"

WEDNESDAY, MAY 29

09:15 - 10:15   J. Stembridge

                "Practical algorithms for Weyl characters II"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   D.A. Vogan

                "Complementary series and Weyl group representations"

14:15 - 15:15   R. Bedard

                "Rational smoothness of varieties of representations

                of quivers of type $A_n$"

15:15 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   G. Lusztig (Chaire Aisenstadt 2001-2002)

                "Hecke algebras with unequal parameters I"

THURSDAY, MAY 30

09:15 - 10:15   B. Casselman

                "Patterns in W-graphs"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   J.F. van Diejen

                "Determinantal Construction of Orthogonal Polynomials

                Associated with Root Systems"

14:15 - 15:15   D.E. Taylor

                "Computation with groups of Lie type"

15:15 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   R.B. Howlett

                "Inducing W-graphs"

FRIDAY, MAY 31

09:15 - 10:15   J. Stembridge

                "Practical algorithms for Weyl characters III"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   M. Geck

                "Computing character values and Schur indices of finite

                groups of Lie type"

15:00 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   G. Lusztig (Chaire Aisenstadt 2001-2002)

                "Hecke algebras with unequal parameters II"

MONDAY, JUNE 3

09:15 - 10:15   M. Geck

                "Computing with Coxeter groups and groups of Lie type

                in GAP and CHEVIE: an introduction I"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   A. Ram

                "Noncrystallographic Springer correspondences"

15:00 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   G. Lusztig (Chaire Aisenstadt 2001-2002)

                "Hecke algebras with unequal parameters III"

TUESDAY, JUNE 4

09:15 - 10:15   M. Brion

                "Positivity in Schubert calculus"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   T. Braden

                "Torus actions and singularities of Schubert varieties"

15:00 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   E.M. Opdam

                "The Schwartz completion of the Hecke algebra"

WEDNESDAY, JUNE 5

09:15 - 10:15   M. Geck

                "Computing with Coxeter groups and groups of Lie type

                in GAP and CHEVIE: an introduction II"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   G. Warrington

                "Properties of the Betti numbers of Schubert varieties"

14:15 - 15:15   Y.B. Sanderson

                TBA

15:15 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   G. Lusztig (Chaire Aisenstadt 2001-2002)

                "Hecke algebras with unequal parameters IV"

THURSDAY, JUNE 6

09:15 - 10:15   G.J. Heckman

                "The moduli space of rational elliptic surfaces"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   A.G. Helminck

                "Algorithms for symmetric varieties"

14:15 - 15:15   F. Knop

                TBA

15:15 - 16:00   Coffee Break (Room 6245)

16:00 - 17:00   T.A. Springer

                "Kazhdan-Lusztig polynomials coming from a group

                compactification"

FRIDAY, JUNE 7

09:15 - 10:15   P. Trapa

                "Using real groups to make real computations in category

                $\mathcal{O}$"

10:15 - 10:45   Coffee Break (Room 6245)

10:45 - 11:45   M.J. Dyer

                "Multiplicity one criterion for category O in prime

                characteristic"

14:15 - 15:15   Problems discussion

15:15           Coffee Break (Room 6245)