Conference and Summer School in Algebric Topology

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AbstractAward: DMS-0420383Principal Investigator: Haynes R. MillerThis award funds travel, particularly by junior researchers, toan international conference and summer school on topology to takeplace in Hanoi, Vietnam, in August 2004. The focus will be onapplications of the Steenrod algebra to problems in topology andalgebra. Three short courses will form a summer school precedingthe conference to introduce students to background material. Anumber of the developments to be discussed in the conference growout of the solutions of the Segal Conjecture and the SullivanConjecture, and topics may include invariant theory andrepresentation theory of the general linear group, polynomialfunctors, Mac Lane homology, topological cyclic homology, thestudy of p-compact groups and p-local finite groups, and the useof the Burnside ring in splittings of classifying spaces.The conference will bring together mathematicians working intopology, representation theory, invariant theory, and grouptheory. The interest in this work is truly global: at least 21countries employ mathematicians we intend to invite. The summerschool will attract younger people and enrich the exprience forthem.