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On Excision in Algebraic K-Theory

Hausdorff Center for Mathematics via YouTube

Overview

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Explore a comprehensive lecture on excision in algebraic K-theory presented by Georg Tamme at the Hausdorff Center for Mathematics. Delve into a new and direct proof of Suslin's result, which states that any Tor-unital ring satisfies excision in algebraic K-theory. Discover a stronger and more general result applicable to connective ring spectra, extending to implications for excision in any localizing invariant. Examine examples including K-theory, topological Hochschild homology, and topological cyclic homology. Gain insights into this advanced mathematical topic through a 55-minute presentation, part of the Hausdorff Trimester Program on K-Theory and Related Fields.

Syllabus

Georg Tamme: On excision in algebraic K-theory

Taught by

Hausdorff Center for Mathematics

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