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Joint HC & QS Colloquium: Algebraic K-theory and trace methods February 24, 2020 (02:00 PM PST - 03:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Teena Gerhardt (Michigan State University)
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Algebraic K-theory is an invariant of rings which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approach to studying algebraic K-theory is via trace maps, relating algebraic K-theory to (topological) Hochschild homology, and (topological) cyclic homology. In this colloquium-style talk I will give an introduction to algebraic K-theory and its applications, and talk about modern methods to compute algebraic K-theory.

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