A1-Homotopy Theory and the Weil Conjectures - Part 1

Explore A1-derived category fundamentals and Weil conjectures applications in this advanced mathematics lecture from Duke University's Kirsten Wickelgren. Delve into the construction of Morel and Sawant's cellular homology while examining key analogues within A1-homotopy theory. Learn about groundbreaking collaborative research 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 to reinforce understanding of complex topics including quadratic enrichment of logarithmic derivative functions, Grothendieck-Lefschetz-Verdier trace formula refinements, and étale cohomology. Gain valuable insights into motivic homotopy theory's applications in algebra and algebraic geometry, building upon prerequisites in algebraic geometry, algebraic topology, and homotopy theory fundamentals.