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Course by G. B. Shabat "Introduction to Grothendieck topologies"
(February 7–May 16, 2022, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online)
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The basic definitions related to Grothendieck topologies will be introduced together with the key examples. The main attention will be paid to the algebro-geometric additional possibilities provided by the extension of the concepts of open sets and coverings. Hopefully the Deligne-Mumford stacks will be discussed. Some fluency in the categorical language will be assumed.
Please, address George Shabat, george.shabat@gmail.com, for Zoom data.
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. 075-15-2022-265).
 Lecturer
Shabat Georgii Borisovich
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
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| Course by G. B. Shabat "Introduction to Grothendieck topologies", February 7–May 16, 2022 |
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May 16, 2022 (Mon) |
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| 1. |
Lecture 14. Introduction to Grothendieck topologies
G. B. Shabat
May 16, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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May 2, 2022 (Mon) |
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| 2. |
Lecture 9. Introduction to Grothendieck topologies
G. B. Shabat
May 2, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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April 18, 2022 (Mon) |
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| 3. |
Lecture 11. Introduction to Grothendieck topologies
G. B. Shabat
April 18, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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April 11, 2022 (Mon) |
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| 4. |
Lecture 10. Introduction to Grothendieck topologies
G. B. Shabat
April 11, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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March 28, 2022 (Mon) |
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| 5. |
Lecture 8. Introduction to Grothendieck topologies
G. B. Shabat
March 28, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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March 21, 2022 (Mon) |
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| 6. |
Lecture 7. Introduction to Grothendieck topologies
G. B. Shabat
March 21, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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March 14, 2022 (Mon) |
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| 7. |
Lecture 6. Introduction to Grothendieck topologies
G. B. Shabat
March 14, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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March 7, 2022 (Mon) |
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| 8. |
Lecture 5. Introduction to Grothendieck topologies
G. B. Shabat
March 7, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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February 28, 2022 (Mon) |
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| 9. |
Lecture 4. Introduction to Grothendieck topologies
G. B. Shabat
February 28, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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February 21, 2022 (Mon) |
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| 10. |
Lecture 3. Introduction to Grothendieck topologies
G. B. Shabat
February 21, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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February 14, 2022 (Mon) |
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| 11. |
Lecture 2. Introduction to Grothendieck topologies
G. B. Shabat
February 14, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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February 7, 2022 (Mon) |
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| 12. |
Lecture 1. Introduction to Grothendieck topologies
G. B. Shabat
February 7, 2022 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina) + online
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