Explore refined enumerative geometry in this comprehensive lecture series by Marc Levine. Delve into Milnor-Witt sheaves, motivic homotopy theory, and Chow-Witt groups. Examine Euler classes, characteristics, and Riemann-Hurwicz formulas. Investigate virtual fundamental classes in motivic homotopy theory and their applications. Study characteristic classes in Witt-cohomology, including Borel and Pontryagin classes. Gain insights into the special linear version of the projective bundle theorem and the reduction of SL2-bundles to NT-bundles.
Overview
Syllabus
Intro
History
Milner K groups
sheath refinement
quadratic forms
multiplication
definition
relations
Taught by
Hausdorff Center for Mathematics
Related Courses
-
From Quadratic Forms to Motivic Cohomologies
-
Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real
-
Motivic Cohomology - Past, Present and Future
-
Quadratic Enumerative Invariants and Local Contributions in Algebraic Geometry
-
Introduction to Chow Groups in Algebraic Geometry - Part 2
-
Chow Groups and Algebraic Cycles in Complex Algebraic Geometry - Part 3
