Arcata 1986

Outline
The Arcata Conference on Representations of Finite Groups was held in 1986 at the Arcata Summer Institute.

Predecessors

 * Santa Cruz 1979

Expository papers

 * Cohomology is representation theory by Jonathan L. Alperin
 * Families of irreducible characters of Weyl groups by Dean Alvis
 * Modular representations of algebraic groups by Henning Haahr Andersen
 * Varieties for modules by Jon F. Carlson
 * Irreducible characters of finite groups of Lie type by R. W. Carter
 * The Hecke algebra of a finite Coxeter group by Charles W. Curtis
 * Shintani descent and L functions on Deligne-Lusztig varieties by Francois Digne
 * Good filtrations for rational modules of reductive groups by S. Donkin
 * Problems in representation theory arising from Galois modules by A. Frohlich
 * Holonomic D-modules in representation theory by Ryoshi Hotta
 * Characters of solvable groups by I. M. Isaacs
 * The representation theory of the symmetric groups by Gordon James
 * Representations of Chevalley groups in their own characteristic by J. C. Jantzen
 * Shintani lifting and Gelfand-Graev representations by Noriaki Kawanaka
 * Introduction to character sheaves by George Lusztig
 * Finite groups and modular functions by Geoffrey Mason
 * Representation theory and translation planes by Geoffrey Mason
 * Modular representation theory and the classification of finite simple groups by Gerhard O. Michler
 * Cohomology of algebraic groups by Brian J. Parshall
 * Double cosets and modular representation theory by Geoffrey R. Robinson
 * Recent progress on the isomorphism problem by Leonard L. Scott
 * Representations and maximal subgroups by Gary M. Seitz
 * Green functions of reductive groups over a finite field by Toshiaki Shoji
 * Constructing representations from group geometries by Stephen D. Smith
 * Perverse sheaves and representation theory by Bhama Shrinivasan
 * Tensor product theorems by Robert Steinberg
 * Coding theory and representation theory by Harold N. Ward
 * Subgroup complexes by P. J. Webb

Papers on block theory and modular representation theory

 * Weights for finite groups by Jonathan L. Alperin
 * Some remarks on the decomposition numbers for the symmetric groups by Dave Benson
 * On block induction by Harvey I. Blau
 * Products and projective resolutions by Jon F. Carlson
 * Extending self-dual modules by Claude Cibils
 * Order-theoretic properties of the center of a block by G. H. Cliff, W. Plesken and A. Weiss
 * Real 2-blocks of $$S_n$$, $$A_n$$ and thier double covers by R. Gow
 * Hypercohomology varieties for complexes of modules, the realizability criterion and equivalent formulations of a conjecture of Carlsson by Nathan Habegger
 * Blocks of projective representations of the symmetric groups by John F. Humphreys
 * ''A condition for the existence of $$p$$-blocks of defect zero

Documentation
The contents of the papers presented in this conference are available in the book The Arcata Conference on Representations of Finite Groups.