Դրինֆելդի մոդուլներ․ ներածություն

Abstract: Drinfeld Modules: An Introduction

Drinfeld modules were introduced in the 1970's by Vladimir Drinfeld, and have since played a crucial role in the resolution of many important problems in number theory, especially those in the Langlands program. I will discuss some of the history and basics of Drinfeld modules, concentrating on the work of Leonard Carlitz from the 1930's.

 This is the first talk of a series of two talks, and it will be entirely expository. The only prerequisite is some knowledge of abstract algebra. In these two talks, I intend to cover some of the material in Sections 5.4, 7.1, 7.3 of the attached (preliminary) textbook on the subject.

ArmenianMathematics

Audience: general audience

( slides | video )

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Yerevan Mathematical Colloquium

Series comments: "Yerevan Mathematical Colloquium" invites survey talks aimed at a general mathematical audience, that emphasize proof methods, relations between branches of mathematics, possible applications, and open problems.

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