Computational Topology
General information
| Course | Computational Topology | Credits | 6 |
|---|---|
| Professor | Cludia LANDI |
Brief content description
The course aims at providing the basic knowledge of computational topology. It also aims at providing the ability to analyze analyze topological problems from a computational point of view and to develop a mindset oriented to solving concrete problems through topology. More specifically, the learning objectives expected upon completion of the course and passing the exam are as follows: 1. Knowledge and understanding: 1a. Knowledge and understanding of the basic concepts relative to the geometric structures of graph and simplicial complex. 1b. Knowledge and understanding of the basic concepts on homological algebraic structures. 1c. Knowledge and understanding of the construction and properties of simplicial complexes associated with metric spaces. 1d. Knowledge and understanding of the main properties of persistent homology. 1e. Knowledge and understanding of Reeb's graphs theory. 1f. Knowledge and understanding of the basic concepts of Morse theory. 1g. Knowledge and understanding of the basic concepts of discrete Morse theory. 2. Ability to apply knowledge and understanding: 2a. Ability to analyze and solve topological problems from a computational point of view. 2b. Ability to analyze and solve topological problems arising in application contexts using algebraic techniques.
Degree programme
This course is part of
How to apply for a single subject course
Students can enrol in up to 3 subjects for each academic year,
even if they are not enrolled in other study programmes in Italy or abroad.
Single subject enrolment