Arizona Winter School 2015: Arithmetic and Higher-Dimensional Varieties

AWS 2015 was held March 14-18, 2015 at the University of Arizona in Tucson, AZ.

• Schedule and other important information
• Local directions
• Organizers: Rachel Pries and Matthew Papanikolas (main program), with Bryden Cais, Mirela Ciperiani, and Romyar Sharifi.

Courses:

• SHORTTITLE  Jean-Louis Colliot-Thélène: Local-global principle for rational points and zero-cycles

  • Course and project outline
  • Lecture notes
  • Project descriptions
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides
    • Lecture 5: video, slides

• SHORTTITLE Ravi Vakil: Links between arithmetic and geometry: metaphor and motivation

  • Course and project outline
  • Lecture notes
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides

• SHORTTITLE  Anthony Várilly-Alvarado: Arithmetic of K3 surfaces

  • Course outline and project description
  • Lecture notes
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides

• SHORTTITLE  Bianca Viray: Rational points on surfaces

  • Course and project outline
  • Lecture notes and project description
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides
    • Lecture 5: video, slides

Problem sessions:

• SHORTTITLE  Kęstutis Česnavičius: Rational points and obstructions to their existence

  • Problem sets: extended and abridged (no hints)

• SHORTTITLE  Alena Pirutka: Curves on varieties and topics on surfaces

  • Problem sets: extended and abridged (no hints)

Project assistants:

• SHORTTITLE  Yonatan Harpaz (Colliot-Thélène), David Zureick-Brown (Vakil), Sho Tanimoto (Várilly-Alvarado), Arne Smeets (Viray)