Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year It will be activated in the A.Y. 2025/2026
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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1 module between the following:
- A.A. 2024/2025 Computational algebra not activated;
- A.A. 2025/2026 Homological Algebra not activated.1 module between the following 3 modules among the followingLegend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Advanced geometry (2024/2025)
Teaching code
4S003197
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/03 - GEOMETRY
Period
Semester 2 dal Mar 3, 2025 al Jun 13, 2025.
Courses Single
Authorized
Learning objectives
This course provides students with the basic concepts of Graph Theory and the basics of Discrete and Computational Geometry. At the end of the course, the student will know the main classical theorems of graph theory, in particular about structural properties, colorings, matchings, embeddings and flow problems. He/she will also be familiar with basic Discrete Geometry results and with some classical algorithms of Computational Geometry. He/she will have the perception of links with some problems in non mathematical contexts. he/she will be able to produce rigorous proofs on all these topics and he/she will be able to read articles and texts of Graph Theory and Discrete Geometry.
Prerequisites and basic notions
A basic introduction to smooth manifolds and their properties.
Program
Symplectic linear algebra. Symplectic manifolds, Darboux Theorem. Almost complex structures, compatibility with a symplectic form and basic definitions of Kähler geometry. Symplectic and Hamiltonian vector fields, group actions on a manifold, Hamiltonian actions and moment map. The convexity theorem and Darboux's construction.
Bibliography
Didactic methods
Lessons at the blackboard and exercise sessions.
Learning assessment procedures
Written test, compulsory, 150min
Oral test upon request of the teacher
Evaluation criteria
To pass the exam, students must demonstrate that they:
- know and have understood the fundamental concepts of symplectic geometry;
- have adequate analysis and synthesis skills and abstraction;
- knowing how to apply this knowledge to solve problems and exercises, knowing how to argue their reasoning with mathematical rigor.
Criteria for the composition of the final grade
Written test maximum score 30/30 with honors
Exam language
Inglese
