Algebra Seminar: K-theory of logarithmic schemes via toric mirror symmetry

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Federico Binda, University of Milan Title: K-theory of logarithmic schemes via toric mirror symmetry Abstract: Logarithmic geometry, developed by Fontaine, Illusie, Kato and many others, is a way to package information about degeneration and boundary phenomena in arithmetic and algebraic geometry. Since its introduction, it has been an open question to find a good notion of quasi coherent sheaf on a log scheme, leading to an appropriate categorical definition of K-theory and other localizing invariants (like topological Hochschild and cyclic homology). We offer a solution to this problem…

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