Organizers: Lior Silberman, Julia Gordon.
| Contact: lior | @ | math.ubc.ca | MATX 1112 | 604-827-3031 |
We will discuss the problem of estimating the number of mod-p solutions to a system of polynomial equations. Our main reference is [2] below.
Section references are to [2] unless noted otherwise.
| Meeting | Title | Speaker | Notes & References |
|---|---|---|---|
| 1. 14/9 | Introduction | Myrto Mavraki | §1, notes |
| 2. 21/9 | (some) Algebraic Geometry | Ed Belk | §§2.1-2.2 |
| 3. 28/9 | The Riemann--Roch Theorem | Avi Kulkarni | §3.0, [1] |
| 4. 5/10 | Calculations with power series | Thomas Rud | §§2.3-2.6 |
| 5. 19/10 | Proof of Weil's Theorem | Myrto Mavraki | §§3.1-3.3, notes |
| 5. 26/10 | TBA | Abhishek Shukla |
| Topics | Author(s) | Title | Data | |
|---|---|---|---|---|
| [1] | Marc Hindry and Joe Silverman | Diophantine geometry | GTM-201, Springer, 2000 | |
| [2] | Mircea Mustaţă | Zeta functions in algebraic geometry | (notes from a 2011 course) |
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