Speaker:
Julia Gordon (University of British Columbia)

Title:
Constructible motivic functions, transfer principles, and
applications

Abstract:
Constructible motivic functions are functions on discretely valued
fields that are, in a sense, built from definable functions in the
so-called Denef-Pas language (a first-order language designed for
working with valued fields). The remarkable property of this class
functions is that it is closed under integration (where "integration"
is understood as motivic integration, as developed by R. Cluckers
and F. Loeser). I will talk about motivic integration and the transfer
principles for constructible motivic functions, which allow us to
transfer statements between local fields of characteristic zero and
those of large positive characteristic. I also hope to discuss some
applications of this method in the Langlands program.