学部・大学院区分
Undergraduate / Graduate		理学部
時間割コード
Registration Code		0617100
科目区分
Course Category		専門科目
Specialized Courses
科目名　【日本語】
Course Title		幾何学Ⅲ
科目名　【英語】
Course Title		Geometry Ⅲ
コースナンバリングコード
Course Numbering Code
担当教員　【日本語】
Instructor		HESSELHOLT LARS ○
担当教員　【英語】
Instructor		HESSELHOLT LARS ○
単位数
Credits		2
開講期・開講時間帯
Term / Day / Period		春 木曜日 ４時限
Spring Thu 4
授業形態
Course style		講義
Lecture
学科・専攻
Department / Program
数理学科
必修・選択
Compulsory / Selected
選択


授業の目的　【日本語】
Goals of the Course(JPN)
The course will introduce and study Riemann surfaces from a geometric perspective, an algebraic perspective, and a complex analytic perspective.
授業の目的　【英語】
Goals of the Course
The course will introduce and study Riemann surfaces from a geometric perspective, an algebraic perspective, and a complex analytic perspective.
到達目標　【日本語】
Objectives of the Course(JPN))
The goal is to obtain understand the rich theory of Riemann surfaces and to equip participants with the tools for further study.
到達目標　【英語】
Objectives of the Course
The goal is to obtain understand the rich theory of Riemann surfaces and to equip participants with the tools for further study.
授業の内容や構成
Course Content / Plan
The course consists of 15 lectures, each 90 minutes.
履修条件
Course Prerequisites
Some knowledge of complex analysis, topology, and algebra.
関連する科目
Related Courses
Complex analytic geometry and algebraic geometry.
成績評価の方法と基準
Course Evaluation Method and Criteria
Grading will be based on solutions to problem sets.
不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades
Failure to hand in solutions to problem sets.
参考書
Reference Book
Simon Donaldson's notes on Riemann surfaces, available at https://www.ma.imperial.ac.uk/~skdona/RSPREF.PDF.
教科書・テキスト
Textbook
Lecture notes will be made available before each lecture.
課外学習等（授業時間外学習の指示）
Study Load(Self-directed Learning Outside Course Hours)
N/A.
注意事項
Notice for Students
N/A.
他学科聴講の可否
Propriety of Other department student's attendance
It is possible.
他学科聴講の条件
Conditions for Other department student's attendance
It is possible, but please contact instructor for advice.
レベル
Level
2
キーワード
Keyword
Riemann surfaces, complex analytic geometry, hyperbolic geometry.
履修の際のアドバイス
Advice
Little is assumed in terms of prerequisites, but if in doubt, then please constact instructor via email for advice.
授業開講形態等
Lecture format, etc.
The course will be given in face-to-face lecture format.
遠隔授業（オンデマンド型）で行う場合の追加措置
Additional measures for remote class (on-demand class)
N/A.