M7170 Reading seminar from category theory

Faculty of Science
Spring 2022
Extent and Intensity
0/1/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Taught partially online.
Teacher(s)
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
Timetable
Tue 12:00–13:50 M4,01024
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
  • The study of:
  • R. Garner and S. Lack, Lex colimits
  • S.Henry, An abstract elementary class nonaxiomatizable in L_infty,omega
  • J. Lurie, Ultracategories
Literature
    required literature
  • S.Henry, An abstract elementary class nonaxiomatizable in L_infty,omega, J. Symb. Logic 84 (2019),1240-1251
  • R. Garner and S. Lack, Lex colimits, J. Pure Appl. Alg. 216 (2012), 1372-1396
  • J. Lurie, Ultracategories, https://www.math.ias.edu/~lurie/
Teaching methods
Student's reports with a discussion, on-line form is possible.
Assessment methods
Evaluation of an activity.
Language of instruction
English
Further comments (probably available only in Czech)
Study Materials
The course is taught only once.
Teacher's information
There will be studied special parts of cetegorical algebra and model theory. Every text brings techniques capable to solve concrete problems. From the text about ultracategories, only a choice of topics will be presented.
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, Autumn 2022, Spring 2023, Autumn 2023, Spring 2024, Autumn 2024, Spring 2025.
  • Enrolment Statistics (Spring 2022, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2022/M7170