Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International symposium "Arithmetic days in Moscow"
June 14, 2011 11:30, Moscow, Steklov Mathematical Institute
 


The analytic subgroup theorem, logarithmic forms and periods. Lecture 2

G. Wüstholz

ETH Zürich
Video records:
Flash Video 483.5 Mb
Flash Video 2,940.3 Mb
MP4 483.5 Mb

Number of views:
This page:443
Video files:216

G. Wüstholz


Видео не загружается в Ваш браузер:
  1. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  2. Сообщите администратору портала о данной ошибке

Abstract: In this series of lectures we shall give an overview about modern developments in transcendence theory originating in Hilbert's 7th solved independently by A. O. Gelfond and Th. Schneider on 1934. We shall in the first lecture give an exposition on the Analytic Subgroup Theorem and the theory of multip0licity estimates which are behind. The second lecture deals with applications in the theory of logarithmic forms. This will cover the isogeny theorem which gives an alternative transcendental approach to the Tate conjecture. As is well known that Tate conjecture implies the Shafarevich conjecture from which, by a beautiful device found by Kodaira and Parshin, a proof of the Mordell conjecture can be obtained, and this gives Falting's Theorem on rational points on curves. We shall also touch the André–Oort conjecture in the context of transcendence properties of hypergeometric functions. The last lecture is devoted to a conjecture of Leibniz as described by Arnold in his book on Huygens and Barrow, Newton and Hook. We shall formulate a modern version of the conjecture, relate it to a conjecture of Kontsevich on motives and to a generalization of the famous Schanuel conjecture.

Language: English
Series of reports

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021