A1-Homotopy Theory and the Weil Conjectures - Part 4

Explore a lecture from Duke University's Kirsten Wickelgren introducing the A1-derived category and related concepts in mathematics. Delve into the construction of cellular homology by Morel and Sawant, along with analogues of the Weil conjectures in A1-homotopy theory. Learn about new collaborative research with Tom Bachmann, Margaret Bilu, Wei Ho, Padma Srinivasan, and Isabel Vogt. Access comprehensive lecture notes and problem sets covering topics like quadratic enrichment of logarithmic derivative of zeta functions, Grothendieck-Lefschetz-Verdier trace formula, étale cohomology, and cellular A1-homology. Part of the 2024 Program on Motivic Homotopy Theory, this advanced mathematical discourse requires foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory, with additional background in Galois cohomology and étale cohomology being beneficial. Note: Audio experiences technical difficulties after 52:33 minutes.