The Polynomial Method for Point Counting and Exponential Sums - Lecture IV
Hausdorff Center for Mathematics via YouTube
The Investment Banker Certification
Master AI and Machine Learning: From Neural Networks to Applications
Overview
AI, Data Science & Cloud Certificates from Google, IBM & Meta — 40% Off
One plan covers every Professional Certificate on Coursera. 40% off Coursera Plus Annual.
Unlock All Certificates
Explore advanced techniques in algebraic geometry and number theory as Valentin Blomer delves into the polynomial method for point counting and exponential sums in this 45-minute lecture. Learn how families of auxiliary polynomials can be utilized to count points on specific types of curves over finite fields and to estimate exponential and character sums. Gain insights into this powerful mathematical approach that bridges multiple areas of mathematics and has applications in cryptography and coding theory.
Syllabus
Valentin Blomer: The polynomial method for point counting and exponential sums, Lecture IV
Taught by
Hausdorff Center for Mathematics