MathematischeGesellschaft Excision in algebraic K-theory |  |
Speaker:Dr. Georg Tamme, Universität Regensburg
Organizer:Mathematisches Institut
Details:
Algebraic K-groups of rings are interesting invariants, which appear in different areas of mathematics, e.g. in number theory, algebraic geometry, or topology. Unfortunately, computations of algebraic K-groups are usually quite hard. One reason for this is that useful tools, familiar from singular homology, like homotopy invariance or some long exact Mayer-Vietoris sequences, are missing in algebraic K-theory. In the talk I will give an introduction to algebraic K-theory and in particular discuss the following question about `excision': When does a given cartesian square of rings give rise to a long exact sequence of algebraic K-groups? Surprisingly, the answer turns out be `almost always’. I will explain this result and some of its consequences.
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Type:Colloquium
Language:English
Category:Research
Host:Prof. Dr. Ralf Meyer
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Direct link to event:https://events.goettingen-campus.de/event?eventId=18022
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