Arizona Winter School 2019: Topology and Arithmetic

AWS 2019 will be held March 2-6, 2019 at the University of Arizona in Tucson, AZ.

Please refer to University of Arizona academic calendars for the tentative dates of future Winter Schools. (The AWS begins on the first day of the University of Arizona's Spring Recess in any given year.)

Registration is now closed. The deadline to register was December 9, 2018. The deadline to apply for funding was November 21, 2018. Funding decisions will be sent out by mid January, with additional participant information to follow.

Schedule and other important information

Local directions

Organizers: Kiran Kedlaya, Hang Xue, and David Zureick-Brown (main program), with Alina Bucur, Bryden Cais, and Mirela Ciperiani.

Supported by the National Science Foundation, the University of Arizona Department of Mathematics and College of Science, and organized in partnership with the Clay Mathematics Institute.

Courses:

• SHORTTITLE  Michael Hopkins: Lubin-Tate spaces: old and new questions

  • Course and project outline
  • Lecture notes and project descriptions
  • Video:
    • Lecture 1: stream, download, slides
    • Lecture 2: stream, download, slides
    • Lecture 3: stream, download, slides
    • Lecture 4: stream, download, slides

• SHORTTITLE  Jacob Lurie: Tamagawa numbers in the function field case

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

• SHORTTITLE  Matthew Morrow: Topological Hochschild homology in arithmetic geometry

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

• SHORTTITLE  Kirsten Wickelgren: 𝔸¹-enumerative geometry

  • Course and project outline
  • Lecture notes and project descriptions
  • Video:
    • Lecture 1: stream, download, slides
    • Lecture 2: stream, download, slides
    • Lecture 3: stream, download, slides
    • Lecture 4: stream, download, slides

Problem sessions:

• SHORTTITLE  Vesna Stojanoska: Formal groups and cohomology theories

  • Problem set: extended

• SHORTTITLE  Inna Zakharevich: The geometry of algebra and the algebra of geometry: model categories, infinity categories and spectra

  • A leisurely introduction to simplicial sets (Notes by Emily Riehl)
  • Problem set: extended

Project assistants:

• SHORTTITLE  Jeremy Hahn (Hopkins), Akhil Mathew (Lurie), Benjamin Antieau (Morrow), Matthias Wendt (Wickelgren)

Study Group Leaders:

• SHORTTITLE   Annie Carter (Hopkins), Krishanu Sankar (Lurie), Martin Speirs (Morrow), Padmavathi Srinivasan (Wickelgren)

  • Reading projects for Morrow study group (by Martin Speirs)