|
Hinweis Bitte informieren Sie sich auf den jeweiligen GRIPS-Seiten über den digitalen Ablauf der Lehrveranstaltungen.  Note For our digital courses all relevant information can be found on the appropriate GRIPS sites.Integral homotopy theory SemesterSoSe 2020 Lecturer Marc Hoyois, Maria Yakerson Type of course (Veranstaltungsart) Oberseminar Contents Given a simply connected topological space, its rational and p-adic homotopy types can be understood in terms of the algebras of its cochains. In more detail, rational homotopy theory, due to Sullivan and Quillen, states that associating to a space its cochain algebra with rational coefficients induces a fully faithful embedding from simply connected rational spaces to rational commutative dgas. Later, an analogous statement for the p-adic case was proved by Mandell, with cdgas replaced by E-infinity-algebras. However, there was no known way to "glue" the information about rational and p-adic cochains together, in order to reconstruct the integral homotopy type. In his recent paper "Integral models for spaces via the higher Frobenius", Yuan solves this problem by refining the p-adic model, using Nikolaus-Scholze Frobenius map on E-infinity-rings as one of the main instruments. In this seminar, we will study the paper by Yuan. We will use the language of modern homotopy theory, the necessary notions from the Nikolaus-Scholze paper will be recalled. Time/Date Di 14-16 Location M 311 Course homepage https://appsso.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/Seminar%25IntegralHomotopyTheory (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV ECTS 4,5 |