Organizers: Lior Silberman, Julia Gordon.
|Contact: lior||@||math.ubc.ca||MATH 229B||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  below.
Section references are to  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, |
|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|
|||Marc Hindry and Joe Silverman||Diophantine geometry||GTM-201, Springer, 2000|
|||Mircea Mustaţă||Zeta functions in algebraic geometry||(notes from a 2011 course)|
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