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Strong A^1-invariance of A^1-connected components of a reductive algebraic group

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KA2W01 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

We will discuss birationality and strong A1-invariance of thesheaf of A1-connected components of algebraic groups.  As an application,we show that G-torsors give rise to A^1-fiber sequences for any reductivealgebraic group G over a perfect field.  The talk is based on joint work withChetan Balwe and Amit Hogadi.

This talk is part of the Isaac Newton Institute Seminar Series series.

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