Motivic Cohomology of Schemes - Lecture 3

Explore the intricacies of motivic cohomology in equicharacteristic schemes through this comprehensive three-part lecture series. Delve into the cdh topology and its applications in algebraic geometry and K-theory. Learn about the construction of the motivic filtration on K-theory by combining syntomic cohomology and A^1-invariant/cdh motivic cohomology. Discover key features of motivic cohomology, including an extension of the Nesterenko-Suslin isomorphism, a motivic refinement of Weibel's vanishing conjecture, and results on zero cycles. Gain insights into topics such as the mosaic filtration, map of spectra, periodic comparison, and algebraic cycles. Presented by Elden Elmanto from the University of Toronto at the Institut des Hautes Etudes Scientifiques (IHES), this 1 hour and 28 minutes lecture series offers a deep dive into advanced mathematical concepts for those interested in algebraic geometry and related fields.

Introduction
Lecture 2 Recap
Mosaic filtration
Motivic filtration
Internet is bad
Map of Spectra
Theorem
DJ mode
Periodic comparison
Motific refinement
Vanishing
Material Commentary
Join Work
Infinite Material Chronology
Algebraic Cycles
Child Groups of Surfaces
Results