[過去ﾛｸﾞ] Interｰuniversal geometryとABC予想(応用スレ)51 (1002ﾚｽ)
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外部ﾘﾝｸ[html]:www4.math.sci.osaka-u.ac.jp
Old items 中村博昭
Japanese items:
P.Debes氏(Uni.Lille 1)連続講演会 「Inverse Galois theory」
(2017年6月1日〜6月6日)

外部ﾘﾝｸ:www4.math.sci.osaka-u.ac.jp
日本学術振興会，外国人招へい研究者（短期）
Pierre DEBES 氏 (Univ. Lille 1)
連続講演 @大阪大学 [豊中キャンパス]
２０１７年６月１日?６月６日

【ガロアの逆問題入門セミナー(I, II)】
(1) June 1 (Thu) [理E404] 15:00-16:00+ (introductory talk 1)
(2) Junu 2 (Fri) [理D505] 11:00-12:00+ (introductory talk 2)

Title: Introduction to Inverse Galois Theory (I and II)

Abstract: The aim is to give an introduction to inverse Galois theory
and to some number theoretical topics involved in inverse Galois
theory. We will discuss the following topics: the Inverse Galois
problems, the geometric approach, the Riemann existence theorem,
Hilbert's irreducibility theorem, the Beckmann-Black problem, the
Grunwald problem, the Malle conjecture, generic and parametric
extensions, etc.
NB: this is a basic introduction intended for graduate students or
interested colleagues.

(3)【大阪大学整数論・保形型式セミナー】
June 2 (Fri) [理D505] 16:30-17:30 (seminar talk)
Title: Some perspectives on the Inverse Galois Problem
Abstract: The work I will talk about is motivated by the Regular
Inverse Galois Problem: show that every finite group G is the Galois
group of a Galois extension F/Q(T) with Q algebraically closed in F. I
will discuss two types of results. First, some strong variants of the
RIGP related to the notion of parametric extensions, which will be
shown to fail. Second, a strong consequence of the RIGP related to a
conjecture of Malle on the number of Galois extensions with a given
group and with bounded discriminant.

つづく

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