M7170 Reading seminar from category theory

Faculty of Science
Spring 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.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2001, Autumn 2003, Autumn 2005, Autumn 2007, Autumn 2009, Spring 2019, Spring 2021, autumn 2021, Spring 2022, Autumn 2022, Spring 2023, Autumn 2023, Spring 2024, Autumn 2024.
  • Enrolment Statistics (Spring 2025, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2025/M7170