Explore A1-homotopy theory and its connection to the Weil conjectures in this advanced mathematics lecture from Duke University. Delve into the construction of cellular homology by Morel and Sawant while examining analogues of the Weil conjectures in A1-homotopy theory. Learn from collaborative research with Tom Bachmann, Margaret Bilu, Wei Ho, Padma Srinivasan, and Isabel Vogt. Access comprehensive lecture notes and problem sets covering the A1-derived category and related concepts. Part of the 2024 Graduate Summer School program on Motivic Homotopy Theory, this lecture requires foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory, with additional background in Galois cohomology and étale cohomology being beneficial. Note that audio technical difficulties occur from 52:33 until the end of the lecture.
A1-Homotopy Theory and the Weil Conjectures - Part 3
IAS | PCMI Park City Mathematics Institute via YouTube
Overview
Syllabus
[* Audio technical difficulties: Audio mic drops out at until the end]
Taught by
IAS | PCMI Park City Mathematics Institute
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