Motivic cohomology of algebraic stacks
Sponsor(s): Mathematics
We discuss the constructions of a 'genuine' and a 'limit-extended' motivic homotopy category for algebraic stacks along with the formalism of six operations. Objects in these categories represent generalized cohomology theories for stacks like algebraic K-theory, motivic cohomology, algebraic cobordism, and their quadratic refinements namely hermitian K-theory, Milnor-Witt motivic cohomology, and special linear algebraic cobordism. In the case of quotient stacks, the respective constructions give Bredon-type and Borel-type equivariant cohomology theories. We review these constructions and discuss some properties. This is joint work with Adeel Khan.
Zoom meeting ID: 922 0028 8866
Zoom meeting password: 043757
Contact: Kirsten Wickelgren