Workshop on Reflection Groups and Their Applications
SISSA (Trieste), 13-20 January 1998
Sponsored by
Programme
Monday 12 January
15:00 to 17:30 Registration
18:00 Informal gathering and reception
Tuesday 13 January
9:00 Registration
9:50 Opening of the Workshop by D. Amati, Director of S.I.S.S.A.
10:00 R. Kellerhals, The size of hyperbolic Coxeter simplices
11:00 Coffee break
11:30 W.J. Couwenberg, Geometry of Gauss-like Heckman-Opdam hypergeometric functions
12:30 Lunch
14:30 K. Saito, Elliptic Lie Algebra
15:30 A. Alexeevski, Generalized Weyl groups of unrefinable graded simple Lie algebras
16:00 Coffee break
16:30 S. Kondo, The group of automorphisms of K3 surfaces
Wednesday 14 January
9:30 M. Yoshida, Examples of hyperbolic Coxeter groups related to hypergeometric functions
10:30 O. Chalykh, Darboux transformations for Schroedinger operators in many dimensions and deformed root systems
11:00 Coffee break
11:30 E. Vinberg, Groups given by periodic pairwise relations
12:30 Lunch
14:30 K. Narain, Orbifolds in string theory
15:30 R. Kaufmann, The tensor product in the theory of Frobenius manifolds and quantum cohomology
16:00 Coffee break
16:30 E. Schulte, Reflection groups and regular polytopes
Thursday 15 January
9:00 J.-B. Zuber, Generalized Dynkin diagrams and root systems and their folding
10:00 T. Kawai, Automorphic forms appearing in string duality
11:00 Coffee break
11:30 V.D. Bugaenko, Q-arithmetic Coxeter polygons
12:30 Lunch
14:30 M. Salvetti, Cohomology of Artin groups and Coxeter group
15:30 P. Bandyopadhyay, Quantization, topological origin of internal symmetry and reflection group
16:00 Coffee break
16:30 O. Schwarzmann, Around the Chevalley theorem
Friday 16 January
9:30 B. Dubrovin, Algebraic solutions of Painleve' VI and reflection groups
10:30 A. Felikson, Coxeter partitions of the hyperbolic polytopes
11:00 Coffee break
11:30 V.V. Nikulin, On the classification of hyperbolic root systems
12:30 Lunch
14:30 P. Papi, The structure of total reflection orders in affine root systems
15:30 Coffee break
16:00 C. Procesi, The n! conjecture
20:00 Social Dinner
Saturday 17 January
9:00 J. Fuchs, Orbit Lie algebras and conformal field theory
10:00 C. De Concini, Cohomology of Braid groups
11:00 Coffee break
11:30 T.A. Springer, Satellities of finite complex reflection groups
12:30 Lunch
Sunday 18 January
14:00 Sightseeing Tour
Monday 19 January
9:30 O. Sheinman, Weyl groups of Krichever-Novikov algebras
10:30 J. Kaneko, Gauss-Manin connection of integral of deformed difference product
11:00 Coffee break
11:30 G. Heckman, Harmonic analysis for affine Hecke algebras
12:30 Lunch
14:30 A.M. Cohen, Linear groups generated by reflection tori
15:30 A. Björner, Combinatorics of reduced decompositions in infinite Coxeter groups
16:30 Coffee break
17:00 Discussion session
Tuesday 20 January
9:30 H.C. Im Hof, Polytopes and reflection groups in hyperbolic geometry
10:30 Coffee break
11:00 G. Soifer, Finitely generated profinitely dense free groups in higher rank lattices
12:30 Lunch
14:30 H. Abels, On generating discrete groups of affine isometries
15:30 Coffee break
16:00 G. Malle, The finite irreducible linear groups with polynomial ring of invariants
Ugo Bruzzo