Arcata 1986

This article is about a conference

Outline

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

Predecessors

• Santa Cruz 1979

Contents

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.