Some aspects of Mahler's method in transcendence theory (5th Feb - 5th Mar, 2011)

  • 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