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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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Algebraic independence of periods and logarithms of Drinfeld modules
by
Matthew Papanikolas
Texas A&M University
Coauthors: Chieh-Yu Chang

This talk will focus on transcendence theory over function fields in positive characteristic. In particular, for Drinfeld modules we relate periods and logarithms of algebraic points to special values of solutions of certain Frobenius difference equations. By way of a result that equates the dimension of the associated difference Galois group to the transcendence degrees of the values, for certain Drinfeld modules we determine all algebraic relations among their periods and logarithms.

Date received: June 13, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-90.