PROGRAM
11:00 (GMT+3)
| Oleg German | Moscow State University |
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Bio: Oleg German graduated from Moscow State University in 2001, defended the Candidate thesis in 2005 at MSU and the Doctorate thesis in 2013 at Steklov Mathematical Institute. He works at the Department of Number Theory, Faculty of Mechanics and Mathematics, MSU. His research interests include geometry of numbers, Diophantine approximation, multidimensional continued fractions. |
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Transference principle in Diophantine approximation.
The talk will be devoted to one of the fundamental principles in Diophantine approximation called transference principle. It reflects the relation of duality between certain problems. This principle is usually formulated in terms of Diophantine exponents - they generalise to the multidimensional case the measure of irrationality of a real number. We plan to give an account on the existing relations Diophantine exponents satisfy and try to reveal the geometric nature of those relations. After having described some basic geometric constructions, we shall look from this perspective at the famous linear independence criterion that belongs to Nesterenko. It appears that our approach provides an alternative proof of this criterion, which bases on rather simple geometric considerations.
12:00 (GMT+3)
| Hu Yongquan | Morningside Center of Mathematics, Academy of Mathematics and Systems Science |
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Bio: Yongquan Hu received PhD degree from University Paris-Sud in 2010. After that, he has worked at University of Rennes 1 (France) as a Maître de Conférence. Starting from 2015, he is a Professor at Morningside Center of Mathematics, Academy of Mathematics and Systems Science. His research interest lies in p-adic and mod p Langlands program. |
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Introduction to p-adic Langlands program for GL_2.
The p-adic and mod p Langlands program is an avatar of the classical Langlands program and has been first initiated by C. Breuil. In this colloquium talk, I will give a brief introduction to the program and survey some recent progress in the case of GL_2.
The meeting will be held in the form of a webinar on the Zoom platform.
Pre-registration for the event is not required.
To join Zoom meeting（You can join in the meeting without a phone number):
https://zoom.com.cn/j/67379810561?pwd=ekM5NmVBV0pYaTl2RllNV2hKdVpCQT09
Meeting ID : 673 7981 0561
Passcode：263867
Instructions for installing and using the Zoom platform are available here:
https://support.zoom.us/hc/ru/articles/201362033-Начало-работы-на-ПК-и-Mac