Characteristic classes of mixed Hodge modules and applications

Laurentiu Maxim, Joerg Schuermann

Published 2013-07-19, updated 2013-09-20Version 2

These notes are an extended version of the authors' lectures at the 2013 CMI Workshop "Mixed Hodge Modules and Their Applications". We give an overview, with an emphasis on applications, of recent developments on the interaction between characteristic class theories for singular spaces and Saito's theory of mixed Hodge modules in the complex algebraic context.