Seminar on Topics in Arithmetic, Geometry, Etc.
STAGE is a seminar in algebraic geometry and number theory,
featuring speakers talking about work that is not their own.
Talks will be at a level suitable for graduate students.
Everyone is welcome.
Meetings are held on Mondays, 3-4:30pm Eastern with a short break in the middle, currently virtually via Zoom videoconference.
To obtain the link for the meeting,
register at researchseminars.org
and click the talk titles below.
To receive announcements by email, add yourself to the STAGE mailing list.
If you are interested in giving one of the talks,
please contact the organizers.
Fall 2020 topic: The Weil conjectures.
References to be followed:
- Poonen, Rational points on varieties, Chapter 7.
- Milne, The Riemann hypothesis over finite fields: from Weil to the present day, pages 8-10.
- Mumford, The red book of varieties and schemes, III.5 and III.10.
- Milne, Lectures on étale cohomology.
- Jannsen, Deligne's proof of the Weil-conjecture (course notes).
- Katz, A note on Riemann hypothesis for curves and hypersurfaces over finite fields.
- Scholl, Hypersurfaces and the Weil conjectures.
- Bombieri, Counting points on curves over finite fields, d'après S. A. Stepanov.
- Koblitz, p-adic numbers, p-adic analysis, and zeta-functions, Chapter V.
Other references:
- Kedlaya, Weil cohomology in practice (course notes).
- Mustata, Zeta functions in algebraic geometry.
- Katz, L-functions and monodromy: four lectures on Weil II.
- Freitag and Kiehl, Etale cohomology and the Weil conjecture. In particular, the best description of the history of the Weil conjectures, by Dieudonné, is at the beginning of this book.
- Kiehl and Weissauer, Weil conjectures, perverse sheaves and l'adic Fourier transform.
- Deligne, La conjecture de Weil. I.
- Deligne, La conjecture de Weil. II.
Some topics below might take more or less time than allotted.
If a speaker runs out of time on a certain date, that speaker might be
allowed to borrow some time on the next date. So the topics below might not
line up exactly with the dates below.
Past semesters: Fall 2009, Spring 2010, Fall 2010, Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013, Fall 2013, Spring 2014, Fall 2014, Spring 2015, Fall 2015, Spring 2016, Fall 2016, Spring 2017, Fall 2017, Spring 2018, Fall 2018, Spring 2019, Fall 2019, Spring 2020
Organizers:
Francesc Fité,
Hyuk Jun Kweon,
Bjorn Poonen,
Ziquan Yang,
Zhiyu Zhang