Title: On the motivic cohomology of singular schemes
Abstract: I will report on joint work with Matthew Morrow. Using ideas from topological cyclic homology and p-adic Hodge theory, we constructed a theory of Zariski p-adic motivic complexes for any qcqs scheme in characteristic p. This theory is the associated graded pieces of a motivic filtration on algebraic K-theory and hence form the E_2 page of an extension of the motivic spectral sequence of smooth varieties. A key result is an agreement of this construction with Bloch cycle complexes on smooth varieties which, time permitting, I will explain a proof of.
Note the unusual time and location.