Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Forthcoming seminars

You may need the following programs to see the files

Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
September 4, 2014 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Arithmetic geometry hidden in graphs on surfaces

G. B. Shabat
Video records:
Flash Video 652.3 Mb
Flash Video 3,907.4 Mb
MP4 652.3 Mb
PowerPoint 975.1 Kb

Number of views:
This page:931
Video files:350
Youtube Video:

G. B. Shabat
Photo Gallery

Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: Several decades ago Grothendieck has established a striking correspondence between certain classes of objects that belong to combinatorial topology (dessins d'enfants) and to arithmetic geometry (Belyi pairs) respectively. A dessin d'enfant is a graph embedded in a surface in such a way that its complement is a disjoint union of open cells; a Belyi pair is a curve over the field of algebraic numbers together with a rational function on it with no more then three critical values.
The talk will be devoted to the problems arising from the above correspondence. In particular, we are going to concentrate on the structures that arise naturally in one category and look mysterious in the other, such as the action of the absolute Galois group of the field of rational numbers on Belyi pairs and the recent (2013) Zograf enumeration of dessins d'enfants.
Some relations with several domains of mathematics and physics will be mentioned and some directions of further research outlined.

Presentation: 140904slides.pptx (975.1 Kb)

SHARE: FaceBook Twitter Livejournal
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019