Preface -- List of talks -- Table of contents -- On a question of FarjounMichael Aschbacher∗ -- Extensions for finite groups of Lie type:twisted groups -- On the classifying space and cohomology ofThompson's sporadic simple group -- New versions of Schur-Weyl duality -- Just infinite periodic Lie algebras -- On the Schur indices of cuspidal unipotentcharacters -- An extension of Thompson's ReplacementTheorem by algebraic group methods -- Simple connectedness of the geometry ofnondegenerate subspaces of a symplectic spaceover arbitrary fields -- Classification of 2F-modules, II -- On the real Schur indices associated with infiniteCoxeter groups -- Some observations on products of characters offinite classical groups -- The number of finite p-groups with boundednumber of generators -- Enumerating highly non-soluble groups -- 3-Signalizers in almost simple groups -- Classifying character degree graphs with 5 vertices -- Heights of characters and defect groups -- Problems on characters and Sylow subgroups -- Ovals in finite projective planes via therepresentation theory of the symmetric group -- Rank invariance and automorphisms ofgeneralized Kac-Moody superalgebras -- Bounding numbers and heights of charactersin p-constrained groups -- Classification of buildings -- Characters of algebra groups and unitriangulargroups -- The signalizer method -- Classical groups in dimension 5 which are Hurwitz -- A classification ofWeyl groups as finite{3, 4}-transposition groups -- Powerful subgroups of 2-groups -- Regular orbits of induced modules of finite groups -- Radical subgroups and p-local ranks -- List of participants.