Arizona Winter School 2001
Course Descriptions and Notes

• SHORTTITLE  Kevin Buzzard: p-adic modular forms

  • Lecture notes:
    • Lecture 1: dvi, ps, pdf
    • Lecture 2: dvi, ps, pdf
    • Lecture 3: dvi, ps, pdf
    • Lecture 4: dvi, ps, pdf
  • Project on computing the U operator on overconvergent 2-adic modular forms of level 1 and even weight: dvi, ps, pdf
  • Buzzard's students' write-up of their lecture: dvi, ps, pdf

• SHORTTITLE  Laurent Clozel: The local Langlands conjecture

  • Project description: html

• SHORTTITLE  Barry Mazur, assisted by Tom Weston: Euler systems

  • Preliminary lecture notes: dvi, ps, pdf
  • More detailed notes by Mazur's students: dvi, ps, pdf
  • Project description: dvi, ps, pdf
  • “Notes on Kato-Siegel functions,” used in Mazur's students' lectures: dvi, ps, pdf
  • A paper by Tom Weston on “The modular curves X₀(11) and X₁(11)”: ps, pdf
  • Another paper by Tom Weston, on “The Euler system of Heegner points”: dvi, ps, pdf
  • A repository at Harvard of documents related to Mazur's lectures and project

• SHORTTITLE  Dinakar Ramakrishnan: Modular forms over CM fields

  • Course outline and project description: dvi, ps, pdf

• SHORTTITLE  Peter Sarnak: Analytic theory of automorphic L-functions and applications

  • Course description and projects: html
  • References: dvi, ps, pdf

• SHORTTITLE  Professional development: Silvio Levy: Writing and communicating mathematics

  • Course description: html