学部・大学院区分
Undergraduate / Graduate		多・博前
時間割コード
Registration Code		3213227
科目区分
Course Category		Ｃ類（実習）
Category C
科目名　【日本語】
Course Title		表現論実習３
科目名　【英語】
Course Title		Practical Class on Representation Theory 3
コースナンバリングコード
Course Numbering Code
担当教員　【日本語】
Instructor		DARPOE Erik Olof ○
担当教員　【英語】
Instructor		DARPOE Erik Olof ○
単位数
Credits		1
開講期・開講時間帯
Term / Day / Period		春集中 その他 その他
Intensive(Spring) Other Other
授業形態
Course style
学科・専攻
Department / Program
多元数理科学研究科
必修・選択
Required / Selected
選択選択


授業の目的　【日本語】
Goals of the Course(JPN)
To gain a deeper understanding of one or several topics in the representation theory of algebras and/or homological algebra. The topic will depend on the interests of the participating students.
授業の目的　【英語】
Goals of the Course
To gain a deeper understanding of one or several topics in the representation theory of algebras and/or homological algebra. The topic will depend on the interests of the participating students.
到達目標　【日本語】
Objectives of the Course(JPN))
At the end of the course, students should have: 1. an understanding of the main concepts and ideas in the area covered by the course; 2.capacity to apply results from the course to solve mathematical problems; 3. a thorough understanding of the concept of a mathematical proof; and 4. capacity to appy the theory to prove new results within the scope of the course.
到達目標　【英語】
Objectives of the Course
At the end of the course, students should have: 1. an understanding of the main concepts and ideas in the area covered by the course; 2.capacity to apply results from the course to solve mathematical problems; 3. a thorough understanding of the concept of a mathematical proof; and 4. capacity to appy the theory to prove new results within the scope of the course.
授業の内容や構成
Course Content / Plan
One or several topics in the representation theory of algebras and/or homological algebra, including: Auslander–Reiten theory; modular representation theory of finite groups; cluster-tilting theory; derived and triangulated categories.
履修条件
Course Prerequisites
A good command of undergraduate algebra (groups, rings, fields) is necessary to follow this course.
関連する科目
Related Courses
Courses about rings and modules, and representation theory.
成績評価の方法と基準
Course Evaluation Method and Criteria
Homework assignments and/or oral presentations.
教科書・テキスト
Textbook
Will be decided after a discussion with the students.
参考書
Reference Book
Will be introduced in the seminar.
課外学習等（授業時間外学習の指示）
Study Load(Self-directed Learning Outside Course Hours)
Homework assignments to be completed outside of class hours.
Additionally, it is recommended to revise the content of the previous lecture(s) in advance of each class.
注意事項
Notice for Students
Prospective students are encouraged to contact the instructor in advance.
他学科聴講の可否
Propriety of Other department student's attendance
可
他学科聴講の条件
Conditions of Other department student's attendance
-
レベル
Level
3
キーワード
Keyword
Representation theory of algebras, Auslander–Reiten theory, cluster-tilting theory, homological algebra, derived categories, triangulated categories.
履修の際のアドバイス
Advice
Do not be afraid to ask questions!
授業開講形態等
Lecture format, etc.
Discussions with the instructor (individual or in groups) and oral presentations by the students and/or the instructor. The classes will be held online or in a classroom, depending on the preferences of the participants.
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)
It will be possible to follow the course online. If you wish to do so, please contact the instructor before the start of the course.