School of Mathematical Sciences,
University of Science and Technology of China

The joint seminar 2018

This joint seminar aims to understand the paper p-adic deformation of algebraic cycle classes[pdf] by Spencer Bloch, Hélène Ensault and Moritz Kerz, in which they studied the p-adic deformation properties of algebraic cycle classes modulo rational equivalence, and showed that the crystalline Chern character of a vector bundle lies in a certain part of the Hodge filtration if and only if, rationally, the class of the vector bundle lifts to a formal pro-class in K-theory on the p-adic scheme.