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Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Birational geometry of three-dimensional manifolds"
September 11–December 25, 2024, Steklov Mathematical Institute, Room 104 (8 Gubkina)

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The goal of the seminar is to study the geometry of threefolds that are rational or close to being rational. In particular, we will consider the approaches to classification of smooth three-dimensional Fano varieties, and discuss the properties of rationally connected and uniruled threefolds.

Program.

  1. Del Pezzo surfaces.
  2. Varieties of minimal degree.
  3. Singularities of pairs. Multiplier ideals.
  4. Anticanonical linear system on a Fano variety: existence of a good divisor, base points.
  5. Del Pezzo varieties.
  6. Hyperelliptic Fano varieties.
  7. Trigonal Fano varieties.
  8. Sarkisov links.
  9. Rationally connected varieties.
  10. Criteria of rational connectedness and uniruledness.

Seminar organizers
Orlov Dmitri Olegovich
Prokhorov Yuri Gennadievich
Shramov Constantin Aleksandrovich

Financial support
The seminar 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


Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Birational geometry of three-dimensional manifolds", September 11–December 25, 2024

November 20, 2024 (Wed)
1. Seminar 11. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
November 20, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)

November 13, 2024 (Wed)
2. Seminar 10. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
November 13, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

November 6, 2024 (Wed)
3. Seminar 9. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
November 6, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

October 30, 2024 (Wed)
4. Seminar 8. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
October 30, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

October 23, 2024 (Wed)
5. Seminar 7. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
October 23, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

October 16, 2024 (Wed)
6. Seminar 6. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
October 16, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

October 9, 2024 (Wed)
7. Seminar 5. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
October 9, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

October 2, 2024 (Wed)
8. Seminar 4. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
October 2, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

September 25, 2024 (Wed)
9. Seminar 3. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
September 25, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

September 18, 2024 (Wed)
10. Seminar 2. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
September 18, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  

September 11, 2024 (Wed)
11. Seminar 1. Birational geometry of three-dimensional manifolds
D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov
September 11, 2024 18:00, Steklov Mathematical Institute, Room 104 (8 Gubkina)
  
 
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