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Course by V. G. Kanovei "Descriptive set theory"
September 13–November 15, 2023, Steklov Mathematical Institute, Room 313 (8 Gubkina)
We kindly ask all participants, including remote ones and those
watching recorded videos, to register
at this link.
The course contains an introduction to descriptive set theory. As a more
special part of the course, the theory of Borel and more complex equivalence
relations will be presented, including some results on the actions of Polish
groups.
Preliminary program of the course.
Lecture 1. Polish spaces, sets, hierarchies.
Lecture 2. The first projective level.
Lecture 3. Effective theory.
Lecture 4. The second projective level.
Lecture 5. Borel equivalence relations: an introduction.
Lecture 6. Dichotomy theorems.
Lecture 7. The Glimm-Efros dichotomy.
Lecture 8. Glimm-Efros dichotomy and forcing.
Lecture 9. Classification by countable structures.
Lecture 10. Turbulence.
 Program
Lecturer
Kanovei Vladimir Grigorevich
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).
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
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| Course by V. G. Kanovei "Descriptive set theory", September 13–November 15, 2023 |
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November 15, 2023 (Wed) |
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Lecture 10. Descriptive set theory
V. G. Kanovei
November 15, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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November 8, 2023 (Wed) |
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Lecture 9. Descriptive set theory
V. G. Kanovei
November 8, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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November 1, 2023 (Wed) |
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Lecture 8. Descriptive set theory
V. G. Kanovei
November 1, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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October 25, 2023 (Wed) |
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Lecture 7. Descriptive set theory
V. G. Kanovei
October 25, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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October 18, 2023 (Wed) |
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Lecture 6. Descriptive set theory
V. G. Kanovei
October 18, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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October 11, 2023 (Wed) |
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Lecture 5. Descriptive set theory
V. G. Kanovei
October 11, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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October 4, 2023 (Wed) |
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Lecture 4. Descriptive set theory
V. G. Kanovei
October 4, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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September 27, 2023 (Wed) |
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Lecture 3. Descriptive set theory
V. G. Kanovei
September 27, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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September 20, 2023 (Wed) |
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Lecture 2. Descriptive set theory
V. G. Kanovei
September 20, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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September 13, 2023 (Wed) |
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Lecture 1. Descriptive set theory
V. G. Kanovei
September 13, 2023 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina)
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