A comprehensive account of one of the main directions of algebraic topology, this book
focuses on the Sullivan conjecture and its generalizations and applications. Lionel Schwartz …

A p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …

Introduction. Group representations occupy a sort of middle ground between abstract groups
and transformation groups, ie, groups acting in concrete ways as permutations of sets …

In an earlier work [T 1], the author described a technique for constructing rigid analytic
modular forms on the p-adic upper half plane by means of an integral transform (a" Poisson …

We prove a theorem which allows a Mackey functor on a finite group to be computed in
terms of its values on certain subgroups in a quite explicit way. The ingredients which make …

For each parabolic subgroup $\mathrm {P} $ of the general linear group $\operatorname
{GL} _n (\mathbb {F} _q) $, a conjecture due to Lewis, Reiner and Stanton [Proc. Roy. Soc …

arXiv:1204.4831v2 [math.AT] 17 Jul 2017 Page 1 arXiv:1204.4831v2 [math.AT] 17 Jul 2017
RINGS OF POWER OPERATIONS FOR MORAVA E-THEORIES ARE KOSZUL CHARLES …

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A p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …

We use the gluing construction introduced by Jia Huang to explore the rings of invariants for
a range of modular representations. We construct generating sets for the rings of invariants …