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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 2024
Semester:	winter
E-Credits:	4
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time

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

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

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.

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

Course completion requirements -

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

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

Literature -

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

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

Teaching methods -

Lectures combined with presentations by particpating students.

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

Requirements to the exam -

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

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

Syllabus -

Algebras and Feynman diagrams

Homotopy algebras

Graph complex

Chern-Simons Theory

Perturbative knot invariants

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