Course title
6M007400,7M7900001
Topics in Mathematics

 kameko masaki
Course content
This year, I will talk about cohomology of groups.
Purpose of class
To learn the basics of cohomology of groups.
Goals and objectives
  1. To get familiar with cohomology of finite groups.
  2. To get familiar with singular cohomology.
  3. To get familiar with classifying spaces.
Language
English
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Finite groups Handout No.1 200minutes
2． Group extensions Handout No.2 200minutes
3． Projective resolutions Handout No.3 200minutes
4． Group cohomology Handout No.4 200minutes
5． Representations Handout No.5 200minutes
6． Chern classes Handout No.6 200minutes
7． Midterm exam and review Review 200minutes
8． Classifing spaces (1) Handout No.7 200minutes
9． Classifing spaces (2) Handout No.8 200minutes
10． Classifing spaces (3) Handout No.9 200minutes
11． Classifing spaces (4) Handout No.10 200minutes
12． Classifing spaces (5) Handout No.11 200minutes
13． Classifing spaces (6) Handout No.12 200minutes
14． Final exam and review review 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 midterm exam final exam Total.
1. 20% 20% 40%
2. 20% 20% 40%
3. 20% 20%
Total. 40% 60% -
Evaluation method and criteria
Examinations (100%).
Textbooks and reference materials
There are many good books on cohomology of groups.
Prerequisites
Calculus, linear algebra, vector calculus, point set topology, abstract algebra.
Office hours and How to contact professors for questions
  • 木曜日9:30--10:00（2019年度前期授業期間中）
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
  • Non-social and professional independence development course
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Last modified : Thu Mar 21 15:32:37 JST 2019