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Motivic Euler characteristics and the Motivic Segal-Becker Theorem

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

In the first part of the talk we will consider motivic Euler characteristics as they relate to splittings in the motivic stable homotopy category. In the second part of the talk we will apply results on such motivic Euler characteristics to prove a motivic analogue of the Segal-Becker Theorem for Algebraic K-Theory.   All of this is based on joint work with Pablo Pelaez and  Gunnar Carlsson.

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

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