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Unstable modules over the Steenrod algebra and the Sullivan conjecture SemesterWiSe 2019 / 20 Lecturer Drew Heard Type of course (Veranstaltungsart) Vorlesung Contents The main goal of the course is to introduce the tools used to prove Sullivan's fixed point conjecture for the action of an elementary abelian p-group on a finite complex. These include Steenrod operations and the Steenrod algebra, Lannes' T-functor, and the homological algebra of unstable modules over the Steenrod algebra. These tools have many other applications, including the (non)-existence of division algebras over the real numbers, the classification of spaces with polynomial mod-p cohomology, and much more. Literature The course will loosely follow the book 'Unstable modules over the Steenrod Algebra and Sullivan's fixed point conjecture', by Lionel Schwartz. Recommended previous knowledge Basic algebraic topology Time/Date Mi., 8-10 Location M311 Additional question session Time/Date: Do., 8-10 Location: M311 Registration
MV, MArGeo, MGAGeo ECTS 4,5 |