Department of Mathematics,
University of California San Diego
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Algebra Colloquium
Joseph Gubeladze
San Francisco State University
The nilpotence conjecture in $K$-theory of toric varieties
Abstract:
All nontrivial elements in higher $K$-groups of toric varieties over a class of regular rings are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties. In the talk I will assume no $K$-theoretical background and no familiarity with toric varieties. The main $K$-theoretical concepts will be presented in an informal and completely accessible way, without giving a single formal definition.
Host: Efim Zelmanov and Lance Small
October 31, 2005
2:00 PM
AP&M 7218
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