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Quantum field theory and topology - NMAG662

Title:	Kvantová teorie pole a topologie
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023 to 2023
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. Ing. Branislav Jurčo, CSc., DSc.
Class:	DS, geom. a topologie, gl. analýza a ob. struktury M Mgr. MSTR > Volitelné
Classification:	Mathematics > Mathematics General Physics > Theoretical and Math. Physics

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: Mgr. Dalibor Šmíd, Ph.D. (12.05.2018)

We introduce some results of quantum field theory (and solid state physics) achieved by topological methods. The course is aimed at students of mathematics interested in QFT and students of physics interested in topology and their applications.

Course completion requirements -

Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (30.04.2020)

It is probable that a large part of the exams or

credits could take place in a distance form. It depends on a development

of the situation and we will inform you about the changes immediately

Literature -

Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (14.05.2019)

R. Dijkgraaf, Perturbative Topological Field Theory, http://adsabs.harvard.edu/abs/1994stgt.conf..189D

Teaching methods -

Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (30.04.2020)

Lectures combined with presentations by particpating students.

Requirements to the exam -

Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (30.04.2020)

The most iportant themes of the subject will be subject of on-line discussions.

Syllabus -

Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (14.05.2019)

Algebras and Feynman diagrams

Homotopy algebras

Graph complex

Chern-Simons Theory

Perturbative knot invariants