Department of

Mathematics


Seminar Calendar
for events the day of Thursday, July 14, 2016.

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Thursday, July 14, 2016

12:00 pm in 345 Altgeld Hall,Thursday, July 14, 2016

Grothendieck Groups and Algebraic K-Theory

Juan Villeta-Garcia (University of Illinois at Urbana-Champaign)

Abstract: Algebraic K-Theory assigns topological invariants to rings, by studying invertible matrices (with coefficients in that ring) all at once. Historically, it does so by a construction of Grothendieck, which assigns a ``group'' to a set with an operation, and does so in a universal way. We will discuss some basic examples of rings, the Grothendieck group construction on them, and what information algebraic K-theory holds in general.