## Algebraic and Geometric Methods in Engineering and Physics — 1st Semester 2020/2021
## AnnouncementsThe seminars will be held on 15 February (from 14:30) and on 22 February (from 10:00 and from 14:30) on this Zoom session, and will have the duration of 25 minutes (+5 minutes for questions). A PDF file containing the slides for the presentation must be handed in by the end of the day of the presentation (at the latest). The subject may be any application of algebra, geometry or topology to physics or engineering, and should be explained at a level appropriate for students of this course (all of whom will be attending). Here are some suggestions of possible seminar subjects: Error-correcting linear codes; Finite geometry and the card game Dobble; Gauge theories and the Standard Model of particle physics; Representations of SU(2) and spin; Representations of SU(3) and quarks; Spherical harmonics and atomic orbitals; ## Syllabus
## BibliographyWe will use these lecture notes, which will be updated as the course progresses. See the bibliography in the notes for more references. ## Grading Policy
## Presentations- Application of Differential Geometry to study Mechanical Systems
- Braid Group and Anyons
- Crystallographic Groups I
- Crystallographic Groups II
- Entropy and Recurrence with applications to Statistical Physics
- Error-correcting linear codes
- Noether's Theorem
- Quaternions: theory and some applications
- Representations of SU(3) and quarks
- Spin-one Color Superconductor
- Stabilizer Codes
- The Rubik's Cube Group
- Topological Data Analysis
## Final exams |