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Mathematics - XXI century. PDMI 70th anniversary
September 14, 2010 13:30, St. Petersburg
 


Non-commutative Witt vectors

D. Kaledin
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D. Kaledin


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Abstract: Witt vectors were originally defined for a commutative ring $A$. About 15 years ago L. Hesselholt discovered a generalization of this construction to non-commutative rings. His approach was heavily based on non-trivial facts from stable homotopy theory. I will present an elementary re-interpretation of Hesselholt's results which also allows to strengthen and clarify them. If time permits, I will also touch upon some applications.

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