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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.Algebraic K-theory SemesterSoSe 2020 Lecturer Marc Hoyois Type of course (Veranstaltungsart) Vorlesung Contents Algebraic K-theory was invented by Grothendieck in the 1950s in his proof of the Grothendieck-Riemann-Roch theorem. Nowadays algebraic K-theory plays an important role in various fields of mathematics, notably algebraic number theory, algebraic geometry, homotopy theory, and geometric topology. In particular it appears in the formulation of many deep conjectures. In this course, we will introduce algebraic K-theory in its various forms (K-theory of rings, of schemes, of exact categories, of Waldhausen categories) and prove some of the fundamental theorems of Quillen, Suslin, Waldhausen, etc. Recommended previous knowledge Familiarity with category theory, basics of commutative algebra (rings and modules) and homotopy theory (homology groups and homotopy groups) Time/Date Mi 08-10, Fr 08-10 Location Mi M104, Fr M103 Course homepage http://www.mathematik.ur.de/hoyois/SS20/ktheory.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
There will be a weekly exercise session, Fr 10-12, M102 Modules BV, MV, MArGeo, MGAGeo ECTS 9 |