Topics

1. Introduction to Mahler type transformations.

2. Some tools from geometric algebra.

3. Approximation properties: the functional case.

4. Multiplicity estimates.

5. Transcendence methods and K-functions.

6. Criteria for algebraic (and linear) independence.

7. Application to diophantine properties of values of systems of Mahler functions.

Lecture Notes:

Chapter 1, Chapter 2, Chapter 3

Schedule of lectures for February, 2011, can be found here

Schedule of lectures for March, 2011, can be found here