A1-Homotopy Theory and the Weil Conjectures - Part 2
IAS | PCMI Park City Mathematics Institute via YouTube
Overview
Explore A1-derived category concepts and Weil conjectures through an advanced mathematics lecture that introduces cellular homology of Morel and Sawant. Delve into new research material developed in collaboration with Tom Bachmann, Margaret Bilu, Wei Ho, Padma Srinivasan, and Isabel Vogt as part of the 2024 Graduate Summer School program on Motivic Homotopy Theory. Access comprehensive lecture notes and problem sets that support learning about quadratic enrichment of logarithmic derivative of zeta functions, Grothendieck-Lefschetz-Verdier trace formula, and étale cohomology. Build upon prerequisites in algebraic geometry, algebraic topology, and homotopy theory while engaging with daily problem sessions designed to develop practical understanding of the material. Participate in an environment surrounded by researchers at all levels within the broader structure of the Park City Mathematics Institute.
Syllabus
pt 2 A1-homotopy theory and the Weil conjectures | Kirsten Wickelgren, Duke University
Taught by
IAS | PCMI Park City Mathematics Institute