Massey Products in Galois Cohomology - Part 4

Explore a 59-minute lecture on Massey products in Galois cohomology, delivered by UCLA's Alexander Merkurjev and CNRS's Federico Scavia at the IAS PCMI Park City Mathematics Institute. Delve into fundamental questions of Galois theory, particularly the profinite inverse Galois problem, which examines which profinite groups can be realized as absolute Galois groups of fields. Learn about the Norm-Residue Theorem (Bloch-Kato Conjecture) and its implications for mod p cohomology rings of absolute Galois groups. Examine the theory of Massey products and recent developments in the Massey Vanishing Conjecture, including proof for mod 2 fourfold Massey products over arbitrary fields. Access accompanying lecture notes covering joint work on Massey products in Galois cohomology, and engage with a dedicated problem set designed for the 2024 PCMI minicourse. Suitable for students with foundational knowledge in algebraic geometry, algebraic topology, homotopy theory, and preferably Galois and étale cohomology.