Homotopy theory with applications to arithmetic and geometry [North American side]

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Dates : 27 June 2022 » 30 June 2022

Place : Bonn
Germany

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Organizer : The Fields Institute

Mathematics and Statistics;
Keywords: Arithmetic, Geometry, Topology
Description :

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.


The Fields Institute organises its event entitled Homotopy theory with applications to arithmetic and geometry [North American side] to be held from 27 June 2022 to 30 June 2022 in Bonn, Germany. It covers various areas of Mathematics and Statistics including 0. For more information, visit the website of the conference or contact the organizer.
Add to calendar 2022-06-27 2022-06-30 Europe/London Homotopy theory with applications to arithmetic and geometry [North American side] https://www.sciencedz.net/en/conference/83894-homotopy-theory-with-applications-to-arithmetic-and-geometry Bonn - Germany The Fields Institute

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