# Elden Elmanto: Motivic cohomology reimagined

**Time: **
Tue 2021-12-07 13.15 - 14.15

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)

**Participating: **
Elden Elmanto (Harvard University)

**Abstract:** 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.