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The nilpotence conjecture in K-theory of toric varieties

Algebra & Discrete Mathematics

Speaker: Joseph Gubeladze, San Francisco State University
Location: 693 Kerr
Start time: Mon, Jun 6 2005, 3:10PM

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: the main K-theoretical concepts will be presented in an informal and completely accessible way, without giving a single formal definition.