Seminar
Motivic cohomology reimagined
Moduli and Algebraic Cycles
07 December 13:15 - 14:15
Elden Elmanto - Harvard University
We construct a cohomological theory of (higher) algebraic cycles on singular schemes using the relationship with (higher) algebraic K-theory as a guiding principle (think Riemann-Roch). In equicharacteritics, this theory is controlled by dlog forms, while in mixed characteristics, this theory is controlled by Bhatt-Scholze's prismatic theory. This is joint work with Tom Bachmann and Matthew Morrow.
Organizers
John Christian Ottem
University of Oslo
Dan Petersen
Stockholm University
David Rydh
KTH Royal Institute of Technology