Video library: K. Ueda, The affine line is a zero divisor in the Grothendieck group

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International conference «Categorical and analytic invariants in Algebraic geometry 3» September 15, 2016 12:20, Moscow

The affine line is a zero divisor in the Grothendieck group K. Ueda University of Tokyo
Abstract: We will discuss an example of a pair $(X,Y)$ of Calabi-Yau 3-folds such that $[X]-[Y]$ is a non-zero element in the Grothendieck ring of varieties annihilated by the class of the affine line. If the time permits, we will also discuss an example of a pair $(X,Y)$ of non-isomorphic derived-equivalent K3 surfaces such that $[X]-[Y]$ is annihilated by a power of the affine line. This is a joint work in progress with Kenji Hashimoto, Daisuke Inoue, Atsushi Ito, Makoto Miura and Shinnosuke Okawa. Language: English