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

Globus Seminar
September 2, 2014 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)

Big Bang, blow up, and modular curves: algebraic geometry in cosmology (on joint work with M. Marcolli)

Yu. I. Manin

Max Planck Institute for Mathematics
Video records:
Flash Video 551.3 Mb
MP4 551.3 Mb

Number of views:
This page:1046
Video files:568

Yu. I. Manin

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: We introduce some algebraic geometric models in cosmology related to the “boundaries” of space–time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to model the kinematics of Big Bang using the algebraic geometric (or analytic) blow up of a point $x$. This creates a boundary which consists of the projective space of tangent directions to $x$ and possibly of the light cone of $x$. We argue that time on the boundary undergoes the Wick rotation and becomes purely imaginary. The Mixmaster (Bianchi IX) model of the early history of the universe is neatly explained in this picture by postulating that the reverse Wick rotation follows a hyperbolic geodesic connecting imaginary time axis to the real one. Penrose's idea to see the Big Bang as a sign of crossover from “the end of previous aeon” of the expanding and cooling Universe to the “beginning of the next aeon” is interpreted as an identification of a natural boundary of Minkowski space at infinity with the Bing Bang boundary.
The talk will be held in Russian.

SHARE: FaceBook Twitter Livejournal
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017