PřF:M7170 Reading sem. from cat. theory

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)

Guaranteed by

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

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.