[Turkmath:7382] FGC-HRI-IPM Number Theory Seminars::Feb. 11, 2026::Oleg German

[kazimilhan.ikeda]

Değerli Matematikçiler,

11 Şubat 2026, Çarşamba günü saat 22:00'da (KONUŞMA SAATİNE DİKKAT!) 
çevrimiçi yapılan FGC-HRI-IPM Number Th. Seminerinin detayları 
aşağıdadır.

Saygılarımla,
İlhan İkeda

--------
Dear all,

Our next speaker is Oleg German from the National Research University 
Higher School of Economics, Moscow. The details about his talk are as 
follows:

Date: Wednesday, February 11 2026

Time: 22:00 (Istanbul and Moscow LT), 22:30 (Tehran LT), Feb. 12 at 
00:30 (Allahabad LT)--NOTE THE UNUSUAL TIME!

Speaker: Oleg German (National Research University Higher School of 
Economics, Moscow)
Title: On the transference principle in Diophantine approximation

Abstract:
In 1842, Dirichlet published his famous theorem which became the 
foundation of Diophantine approximation. The phenomenon he found 
inspired Liouville to study how well algebraic numbers can be 
approximated by rationals, and thus, to come up with a method of 
constructing transcendental numbers explicitly. The development of these 
ideas led to the concepts of irrationality measure and transcendence 
measure. Thanks to Minkowski, it became clear that many problems arising 
in the theory of Diophantine approximation could be addressed quite 
effectively using the tools of geometry of numbers. In particular, the 
geometric approach naturally offers a wide variety of multidimensional 
analogues of the concept of irrationality measure — so called 
Diophantine exponents. In the talk, we will discuss various Diophantine 
exponents and the geometry that arises when studying them. We will pay 
special attention to the phenomenon discovered by Khintchine, which he 
called the transference principle.

Zoom details:
Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
Passcode: 848084

ICS file:
https://researchseminars.org/seminar/FGC-IPM/ics
_______________________________________________