9-13 July 2018

Imperial College

The focus of this research school is on three major advances that have emerged lately in the interface between homotopy theory and arithmetic: cohomological methods in intersection theory, with emphasis on motivic sheaves; homotopical obstruction theory for rational points and zero cycles; and arithmetic curve counts using motivic homotopy theory. The emergence of homotopical methods in arithmetic represents one of the most important and exciting trends in number theory, and the lectures will give a gentle introduction to the area.

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