Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Applied l-adic Cohomology - Lecture 2

International Centre for Theoretical Sciences via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a comprehensive lecture from the Ramanujan Lectures series focusing on Applied l-adic cohomology, delivered by renowned mathematician Philippe Michel from École polytechnique fédérale de Lausanne. Delve into the fundamental concept of congruence in number theory, first formalized by C.F. Gauss, and discover how trace functions and l-adic cohomology have influenced modern analytic number theory. Learn about the historical developments from Weil's initial studies in the 1940s through Grothendieck's revolutionary contributions to algebraic geometry and étale cohomology, culminating in Deligne's proof of the Riemann Hypothesis for algebraic varieties over finite fields. Examine various examples, including collaborative work with E. Fouvry, E. Kowalski, and W. Sawin, demonstrating the practical applications of these mathematical concepts. Benefit from the expertise of Philippe Michel, an accomplished researcher in analytic number theory, whose work spans arithmetic geometry, exponential sums, sieve methods, automorphic forms, L-functions, and ergodic theory.

Syllabus

Applied l-adic Cohomology, I (RL 1) (Lecture 2) by Philippe Michel

Taught by

International Centre for Theoretical Sciences

Reviews

Start your review of Applied l-adic Cohomology - Lecture 2

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.