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November 29, 2012
Thursday, November 29
Colloquium
Time: 15:30
Speaker: Oliver Roendigs (Osnabrueck)
Title: "The Grothedieck ring of varieties"
Room: MC 108

Abstract: The Grothendieck ring of varieties over a field is a bookkeeping device for invariants of varieties which preserve the relation [X] = [Z]+[X-Z] whenever Z is a closed subvariety of X. Examples of such invariants include counting points if the field in question is finite, or the topological Euler characteristic if the field is the complex numbers. After introducing the Grothendieck ring and some invariants, I will discuss a certain invariant which involves the A^1-homotopy type of Morel and Voevodsky.