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SEMINARS

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)

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at this link.


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.


RSS: Forthcoming seminars

Seminar organizers
Orlov Dmitri Olegovich
Prokhorov Yuri Gennadievich
Shramov Constantin Aleksandrovich

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




© Steklov Math. Inst. of RAS, 2024