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Characteristic Classes in Stable Motivic Homotopy Theory - Part 2

IAS | PCMI Park City Mathematics Institute via YouTube

Overview

Explore the second part of a lecture series on characteristic classes in stable motivic homotopy theory, delivered by Frédéric Déglise from CNRS and ENS Lyon. Delve into the extension of classical differential geometry concepts to the realm of algebraic varieties and schemes, building upon Quillen's work on formal group laws and cobordism. Learn how Levine and Morel successfully adapted these principles to motivic homotopy theory, and discover emerging developments in Panin and Walter's orientation theories that lead to quadratic enumerative geometry. Gain insights into how these mathematical concepts played a crucial role in Voevodsky's proof of the Milnor conjecture. Access comprehensive lecture notes and problem sets to reinforce understanding of these advanced mathematical concepts, suitable for students with foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory.

Syllabus

Characteristic classes in stable motivic homotopy theory pt.2 | Frédéric Déglise, CNRS, ENS Lyon

Taught by

IAS | PCMI Park City Mathematics Institute

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