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Hochschild-Witt homology (NAGRT) April 30, 2013 (02:00 PM PDT - 03:00 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Dmitry Kaledin (Independent University of Moscow)
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I am going to describe Hochschild-Witt homology, a new homology theory for associative algebras and DG algebras over a finite field that extends crystalline cohomology to the non-commutative setting. This is based on reexamination and generalization of the classical notion of Witt vectors. Using this, we introduce what we call a Hochschild-Witt complex, a gadget refining the usual Hochschild homology complex of an algebra in exactly the same way as the de Rham-Witt complex of Deligne and Illusie refines the usual de Rham complex of a smooth algebraic variety over a finite field.

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