Multiple polylogarithms as logarithms of certain t-modules


Chieh-Yu Chang

13:30:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, we will consider multiple polylogarithms in characteristic p. We explicitly construct a t- module so that the multiple polylogarithm in question occurs as some coordinate of its logarithm. We will also discuss its application to give a vanishing/non-vanishing criterion for these functions at algebraic points in the v-adic setting. This is a joint work with Y. Mishiba.