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Classical algebraic K-theory SemesterSoSe 2024 Lecturer Daniel Schäppi Type of course (Veranstaltungsart) Vorlesung German title Klassische algebraische K-Theorie Contents The low dimensional algebraic K-groups are built from vector bundles (over a scheme) or projective modules (over an affine scheme) and their automorphisms. Rather than trying to understand vector bundles directly, one forms a ring consisting of vector bundles up to a suitable equivalence relation. There are also higher K-groups, but in this course we will restrict attention to the first three K-groups (which were defined much earlier than the others). The goal is to prove the Bass Fundamental Theorem which establishes a relationship between these K-groups on polynomial and Laurent polynomial extensions. Literature The K-book: an introduction to algebraic K-theory, by Charles Weibel, Chapters I-III Recommended previous knowledge (commutative) algebra, some familiarity with the language of categories Time/Date Mi 8-10 Location M104 Registration
BV, MV, MArGeo ECTS 4,5 |