Models of \tau-sheaves, t-adic Galois representations and uniformization of t-motives.
by
Francis Gardeyn
Ghent University, Belgium / ETH Zurich, Switzerland

We present a theory of models of Drinfeld \tau-sheaves, and have a look at its arithmetic applications, e.g. 
- Semistable structure theorem for analytic \tau-sheaves,
- `Monodromy' theorem, good reduction criteria and `bad' factors of L-functions for t-adic Galois representations,
- Image of the global Galois group on the adelic representation associated to \tau-sheaves,
- Analytic morphisms of t-motives: criteria for Anderson uniformizability; Tate uniformization

Date received: February 19, 2001

Copyright © 2001 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 # cafv-26.