Department of

# Mathematics

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

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Questions regarding events or the calendar should be directed to Tori Corkery.
      June 2016              July 2016             August 2016
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1  2  3  4                   1  2       1  2  3  4  5  6
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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.