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Course by D. S. Shirokov "Foundations of the theory of Clifford algebras and spinors"
February 11–May 6, 2021, online via Zoom

In the course, we consider Clifford algebras over the field of real or complex numbers. We discuss quaternions, Grassmann algebras, matrix representations of Clifford algebras, the Cartan-Bott 8-periodicity, Lipschitz groups and Clifford groups, the theorem on the two-sheeted covering of orthogonal groups by spin groups in the case of arbitrary dimension and signature of the space, the Cartan-Dieudonne theorem, unitary Lie groups in Clifford algebras, the Dirac equation, Pauli, Dirac, Weyl, Majorana, and Majorana-Weyl spinors, etc. Clifford algebra is a mathematical tool that is actively used in various branches of modern mathematics and physics – field theory, geometry, computer science, robotics, signal and image processing, etc.

Financial support. The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

RSS: Forthcoming seminars

Lecturer
Shirokov Dmitry Sergeevich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


Course by D. S. Shirokov "Foundations of the theory of Clifford algebras and spinors", February 11–May 6, 2021

May 6, 2021 (Thu)
1. Lecture 10. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
May 6, 2021 18:00, online via Zoom
D. S. Shirokov
  

April 22, 2021 (Thu)
2. Lecture 9. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
April 22, 2021 18:00, online via Zoom
D. S. Shirokov
  

April 15, 2021 (Thu)
3. Lecture 8. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
April 15, 2021 18:00, online via Zoom
D. S. Shirokov
  

April 8, 2021 (Thu)
4. Lecture 7. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
April 8, 2021 18:00, online via Zoom
D. S. Shirokov
  

April 1, 2021 (Thu)
5. Lecture 6. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
April 1, 2021 18:00, online via Zoom
D. S. Shirokov
  

March 25, 2021 (Thu)
6. Lecture 5. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
March 25, 2021 18:00, online via Zoom
D. S. Shirokov
  

March 11, 2021 (Thu)
7. Lecture 4. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
March 11, 2021 18:00, online via Zoom
D. S. Shirokov
  

March 4, 2021 (Thu)
8. Lecture 3. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
March 4, 2021 18:00, online via Zoom
D. S. Shirokov
  

February 18, 2021 (Thu)
9. Lecture 2. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
February 18, 2021 18:00, online via Zoom
D. S. Shirokov
  

February 11, 2021 (Thu)
10. Lecture 1. Foundations of the theory of Clifford algebras and spinors
D. S. Shirokov
February 11, 2021 18:00, online via Zoom
D. S. Shirokov
  
 
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