Topics in Arithmetic Geometry: p-adic Cohomologies, Fall 2009

Course Information

• When: TTh, 1:00 - 2:15PM
• Where: Old Math Building 103
• Office Hours: By appointments


• References:
• Berthelot and Ogus, Notes on crystalline cohomology
• Koblitz, p-adic numbers, p-adic analysis, and zeta functions
• Tate, A review of non-Archimedean elliptic functions
• van der Put, The cohomology of Monsky and Washnitzer


• Grading:
  • Homework assignments - 40%
  • Final presentation - 60%

Contents

1. p-adic fields
2. Dwork's proof of the rationality of zeta functions
3. Monsky-Washnitzer cohomology
4. Crystalline cohomology
5. Tate curves

Assignments

    #1, #2 #3

Links

    Berthelot

    Lectures on Formal and Rigid Geometry by Bosch

Last updated on 2009.12.17.