Graduate School of Science and Engineering Science of Environment and Mathematical Modeling
- Course Outline
- Earth System Science / Environmental Magnetism Laboratory
- Geo-environmental Science Laboratory
- Wild Life Preservation Laboratory
- Advanced Materials Science and Process Systems Laboratory
- New Energy System Laboratory
- Environmental Systems Engineering Laboratory
- Regional Environment Laboratory
- Geometry Laboratory
- Functional Equations Laboratory
- Statistical Finance Laboratory
- Computational Mathematics Laboratory
- Laboratory of Mathematics for Information
- Discrete Mathematics Laboratory
- Algebra Laboratory
- Analysis Laboratory
Geometry Laboratory
Staff
ASAOKA Masayuki
[Professor]
| Acceptable course | |
|---|---|
| Master's degree course | ✓ |
| Doctoral degree course | |
Telephone : +81-774-65-7469
Office : HS-208
Database of Researchers
Research Topics
Research on Topology of Gauge Groups
Research Contents
What is a big difference between the left and right figures?
The two figures differ, of course, in the number of holes. In this way, one branch of geometry that links a space (figure) to an algebraic object (e.g., a number) to examine the rough properties of the space by using the algebraic object is called algebraic topology. The concept of algebraic topology is very natural and intuitive. The technique is thus used widely, not only in geometry but also in other areas of mathematics, such as algebra and combinatorics. Algebraic topology has recently expanded its applications, ranging from sensor networks or robotics and structural analysis of proteins to big data analytics. Algebraic topology is an extremely free mathematics. I study this algebraic topology.
Keywords
- Topology of Lie Groups
- Homotopy type theory
- Generalized Cohomology