Mathematics Colloquia and Seminars

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.