Titlebook: Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects; LMS-CMI Research Sch Frank Neumann,Ambrus Pál Book 2021 The Edit

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https://doi.org/10.1007/978-3-030-78977-0Etale homotopy; Rational points; Infinity topoi; Shape theory; Brauer-Manin obstruction; Motivic homotopy

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An Introduction to ,-Enumerative Geometry,y questions over a broader range of fields. Included is a discussion of enriched local degrees of morphisms of smooth schemes, following Morel, .-Milnor numbers, as well as various computational tools and recent examples.

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Cohomological Methods in Intersection Theory, constructions of characteristic classes (as 0-cycles). This leads to the Grothendieck-Lefschetz formula, of which we give a new motivic proof. There are also a few additions to what have been told in the lectures:

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,Homotopy Theory and Arithmetic Geometry—Motivic and Diophantine Aspects: An Introduction,We give a brief overview on the various themes and topics of the lecture notes assembled in this volume and summarise each individual contribution based on the abstracts and introductions.

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