A¹-Homotopy and A¹-Algebraic Topology - Part 2

Explore a one-hour lecture on A^1-homotopy and A^1-algebraic Topology delivered by Fabien Morel from University LMU Munich as part of the 2024 Program on Motivic Homotopy Theory at PCMI. Delve into advanced mathematical concepts that bridge algebraic geometry and topology, building upon the foundations of motivic homotopy theory developed by Morel and Voevodsky in the 1990s. Learn how this theoretical framework serves as both a powerful tool for understanding arithmetic aspects in algebra and algebraic geometry, while representing an intriguing generalization of classical homotopy theory. Gain insights from this graduate-level presentation that forms part of a comprehensive summer school program featuring multiple minicourses taught by leading experts, complete with daily problem sessions. Participants should possess foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory, with additional background in Galois cohomology and étale cohomology being beneficial.