＜＜＜「@」を「__AT__」に置き換えています＞＞＞ Date: Mon, 5 Feb 2024 19:25:26 +0900 To: sg-l__AT__yukawa.kyoto-u.ac.jp From: Ryo Namba Subject: [Sg-l:8187] 青木貴史氏による完全WKB解析についての集中講義 __AT__ 理研iTHEMS、2/19（月）〜2/22（木） Sg-lの皆様、 （English message follows Japanese one） 理化学研究所数理創造プログラム（理研iTHEMS）において、2月19日（月）〜22日（木）に青木貴史氏（近畿大名誉教授）による完全WKB解析についての集中講義を企画しています。 アナウンスが直前になってしまい大変恐縮ですが、 ご興味のある方の参加を歓迎致します。 関心のありそうな学生・研究者に情報共有いただけると幸いです。 参加を希望される方は以下のリンク先から登録をお願い致します。 登録URL: https://forms.gle/MsWcEgrk6LYqrwyv5 近年完全Wkb解析は、有用な数学的手法として物理系への応用も発展が続いています。この機会に分野の先駆者の一人である青木氏の集中講義を経て、手法の理解を深め、物理への応用が促進されたなら幸いです。 詳細は以下をご参照ください。 ------------------------------------------------- ウェブページ: https://ithems.riken.jp/en/events/an-introduction-to-the-exact-wkb-analysis-via-the-hypergeometric-differential-equation 講師：青木貴史 氏（近畿大学名誉教授） 日程：2024年2月19日（月）〜22日（木） 場所：理研和光キャンパス、研究本館4階435〜437号室（ https://ithems.riken.jp/ja/access/riken-wako-campus ） 講義言語：（原則）英語 申し込み： https://forms.gle/MsWcEgrk6LYqrwyv5 （登録者が講義室の許容人数を大幅に超える場合は、締め切らせていただく場合があります。） 講義タイトル：An introduction to the exact WKB analysis via the hypergeometric differential equation 概要：This is an introductory course to the exact WKB analysis. Firstly we review some basic facts concerning formal power series and WKB solutions. Secondly we give an overview of the connection formulas for WKB solutions to ordinary differential equations of second order with a large parameter. Next, after recalling some classical theory for the Airy equation and the Gauss hypergeometric differential equation, we show how the exact WKB analysis is used for these equations and what are obtained. One of the main results to be presented in this course is the relation the between the classical hypergeometric function and the Borel resummed WKB solutions to the hypergeometric differential equation with a large parameter. Some applications and recent topics are also given. [Contents] 1. Introduction 2. Exact WKB analysis for ordinary differential equation of second order with a large parameter 3. Some classical theory for the Airy equation and the Gauss hypergeometric equation 4. Exact WKB analysis for the Airy equation 5. Exact WKB analysis for the Gauss hypergeometric equation 6. Some applications and recent topics [Schedule] Day 1 10:00 - 11:30 Lecture 1 14:00 - 16:00 Lecture 2 Day 2 10:00 - 11:30 Lecture 3 14:00 - 16:00 Lecture 4 Day 3 10:00 - 11:30 Lecture 5 14:00 - 16:00 Lecture 6 Day 4 10:00 - 11:30 Lecture 7 14:00 - 16:00 Lecture 8 ------------------------------------------------- 皆様のご参加をお待ちしております。 田屋英俊（理研iTHEMS）、Christy Kelly (RIKEN iTHEMS)、難波亮（理研iTHEMS） =============================== Dear Sg-l colleagues, In the RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS) program, we are planning an intensive lecture series on the exact WKB analysis by Professor Takashi Aoki (Kinki Univ.) from Feb. 19th (Mon) to 22nd (Thur). We welcome the participation of those who are interested, and we would appreciate it if you could share this information with students and researchers who might be interested. We apologize that the announcement has come at short notice. If you wish to participate, please register using the following link: Registration URL: https://forms.gle/MsWcEgrk6LYqrwyv5 In recent years, the exact WKB analysis has been developed as a useful mathematical method with applications in the field of physics. We hope that through the pioneer's intensive lectures, participants can deepen their understanding of the method and contribute to its advancement in physics. Please refer to the following for more details: ------------------------------------------------- Webpage: https://ithems.riken.jp/en/events/an-introduction-to-the-exact-wkb-analysis-via-the-hypergeometric-differential-equation Lecturer: Takashi Aoki (Professor Emeritus, Kinki University) Dates: February 19th (Monday) to 22nd (Thursday), 2024 Location: RIKEN Wako Campus, Research Main Building, 4th Floor, Rooms 435-437 (https://ithems.riken.jp/ja/access/riken-wako-campus) Lecture Language: (Primarily) English Registration: https://forms.gle/MsWcEgrk6LYqrwyv5 (If the number of registrants exceeds the capacity of the lecture room, we may need to close registration.) Title：An introduction to the exact WKB analysis via the hypergeometric differential equation Abstract：This is an introductory course to the exact WKB analysis. Firstly we review some basic facts concerning formal power series and WKB solutions. Secondly we give an overview of the connection formulas for WKB solutions to ordinary differential equations of second order with a large parameter. Next, after recalling some classical theory for the Airy equation and the Gauss hypergeometric differential equation, we show how the exact WKB analysis is used for these equations and what are obtained. One of the main results to be presented in this course is the relation the between the classical hypergeometric function and the Borel resummed WKB solutions to the hypergeometric differential equation with a large parameter. Some applications and recent topics are also given. [Contents] 1. Introduction 2. Exact WKB analysis for ordinary differential equation of second order with a large parameter 3. Some classical theory for the Airy equation and the Gauss hypergeometric equation 4. Exact WKB analysis for the Airy equation 5. Exact WKB analysis for the Gauss hypergeometric equation 6. Some applications and recent topics [Schedule] Day 1 10:00 - 11:30 Lecture 1 14:00 - 16:00 Lecture 2 Day 2 10:00 - 11:30 Lecture 3 14:00 - 16:00 Lecture 4 Day 3 10:00 - 11:30 Lecture 5 14:00 - 16:00 Lecture 6 Day 4 10:00 - 11:30 Lecture 7 14:00 - 16:00 Lecture 8 ------------------------------------------------- We look forward to seeing you all at the lectures! Best wishes, Hidetoshi Taya (RIKEN iTHEMS), Ryo Namba (RIKEN iTHEMS), Christy Kelly (RIKEN iTHEMS)