2023/2024

Введение в римановы поверхности

Статус: Дисциплина общефакультетского пула

Кто читает: Факультет математики

Когда читается: 3, 4 модуль

Охват аудитории: для всех кампусов НИУ ВШЭ

Преподаватели: Буряк Александр Юрьевич

Язык: английский

Кредиты: 6

Контактные часы: 72

Course Syllabus

Abstract

The aim of the course is to demonstrate how some of the key ideas of algebraic geometry work, using the approach that does not require a hard technical introduction. With this aim in mind, the course is mainly concentrated on compact Riemann surfaces. Assuming Riemann's existing theorem without proof (in the form that any compact Riemann surfacecan be represented as a ramified covering of the extended complex plane corrseponding to an algebraic equation), we prove Riemann——Roch theorem using adèles (after André Weil) and give some basic examples and results from the theory of algebraic curves.