PřF:M7170 Reading sem. from cat. theory - Course Information
M7170 Reading seminar from category theory
Faculty of ScienceSpring 2025
- Extent and Intensity
- 0/1/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
- Teacher(s)
- doc. John Denis Bourke, PhD (lecturer)
prof. RNDr. Jiří Rosický, DrSc. (lecturer) - Guaranteed by
- prof. RNDr. Jiří Rosický, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- Graduation of M7150 Category theory.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics (programme PřF, M-MA, specialization Discrete Mathematics)
- Mathematics (programme PřF, N-MA, specialization Discrete Mathematics)
- Course objectives
- An ability to understand and present research papers in category theory including a survey of related literature.
- Learning outcomes
- Mastering of given special areas of category theory. A preparation for an independent research work in this area.
- Syllabus
- Studium of texts:
- S. Henry, When does Ind_k(C^I) Ind_k(C)^I?, arXiv:2307.06664
- C. Casacuberta and J. J. Gutiérez, Homotopy reflectivity is equivalent to the weak Vopěnka principle
- J. Bergfalk, C. Lamie-Nanson and J. Šaroch, Whithead problem and condensed mathematics, arXiv:2312.09122
- Literature
- I. Di Liberti, The geometry of coherent topoi and ultrastuctures, arXiv:2211.03104
- C. Espindola, Infinitary generalizations of Deligne completeness theorem, arXiv:1709.01967
- C. Barwick and P. Haine, Pyknotic objects, I. Basic notions, arXiv:1904.09966
- Teaching methods
- Student's reports with a discussion.
- Assessment methods
- Evaluation of an activity.
- Language of instruction
- English
- Further comments (probably available only in Czech)
- The course is taught annually.
- Teacher's information
- There will be studied special parts of cetegorical algebra and model theory. Every text brings techniques capable to solve concrete problems.
- Enrolment Statistics (Spring 2025, recent)
- Permalink: https://is.muni.cz/course/sci/spring2025/M7170