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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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