For master’s students; Semester 1, intensive course · Graduate School of Science and Technology, Niigata University
Note
This course is held online via Zoom.
Textbooks
- Y. Hiraoka, “タンパク質構造とトポロジー” (in Japanese), Kyoritsu Shuppan
Course contents
- Simplicial complexes; abstract simplicial complexes; homotopy
- The nerve theorem, part 1
- The nerve theorem, part 2; simplicial-complex models of proteins
- Groups and rings
- Modules over rings
- Homology groups, part 1
- Homology groups, part 2
- Homology groups of proteins; $\mathbb{Z}/2\mathbb{Z}\lbrack x \rbrack$-modules
- Persistent homology groups, part 1
- Persistent homology groups, part 2; persistent homology groups of proteins