Valentin Blomer - The Polynomial Method for Point Counting and Exponential Sums, Lecture III

Explore the polynomial method for point counting and exponential sums in this advanced mathematics lecture. Delve into the use of auxiliary polynomial families to count points on specific curve types over finite fields and estimate exponential and character sums. Learn about extension fields, L functions, character sums, factorisation, and Gauss sums. Gain insights into self-improvement techniques within this mathematical context.

Summary
Setting up the stage
Extension fields
L functions
Character sum
Extension field
Character sums
Factorisation
Gausssums
Selfimprovement