Semi-topological K-theory of dg-algebras and the lattice conjecture

Speaker: Andrei Konovalov – University of Duisburg-Essen

Abstract: I will discuss the problem of constructing a natural rational structure on periodic cyclic homology of dg-algebras and dg-categories. The promising candidate is A. Blanc’s topological K-theory. I will show that it, indeed, provides a rational structure in a number of cases and I will discuss its structural properties and possible applications.