Computational Topology

General information

CourseComputational 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

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