[geometry-ml:05650] Re: 村瀬元彦先生による講演

[Takuro Mochizuki]

皆様

たびたび申し訳ありません。
先日お伝えした村瀬元彦氏の講演についてですが、
日程の変更がありましたのでお知らせ致します。

講演者: Motohico Mulase (UC Davis)
日時: 5月15日 5月29日 10:00--12:00
場所: 数理研本館 110号室
タイトル: Inspirations from Mathematics
Lecture 1: From Zeta(3) to Mirror Symmetry
Lecture 2: Discontinuous and Biholomorphic?
https://www.kurims.kyoto-u.ac.jp/ja/seminar/seminar-takuro-wed.html

よろしくお願い致します。

望月拓郎

On Fri, 26 Apr 2024 16:34:56 +0900
Takuro Mochizuki <takuro ＠ kurims.kyoto-u.ac.jp> wrote:

> 皆様
> 
> 5月8日と15日に京都大学数理解析研究所110号室において
> UC Davisの村瀬元彦先生による講演が行われます。
> 
> タイトルとアブストラクトは下記の通りです。
> 大学院生や意欲的な学部生の方々による御聴講も歓迎いたします。
> 
> 変更等がある場合はホームページ上で告知いたします。
> https://www.kurims.kyoto-u.ac.jp/en/seminar/seminar-takuro-wed.html
> 
> このメールを重複して受け取られた際はご容赦ください。
> 
> 京都大学数理解析研究所
> 望月拓郎
> 
> ================================
> 
> 講演者: Motohico Mulase (UC Davis)
> 日時: 5月8日 5月15日 10:00--12:00
> 場所: 数理研本館 110号室
> タイトル: Inspirations from Mathematics
> Lecture 1: From Zeta(3) to Mirror Symmetry
> Lecture 2: Discontinuous and Biholomorphic?
> 
> アブストラクト:
> These are the lectures aimed at a wider audience, including graduate
> students and undergraduate students with a strong curiosity and background
> of modern mathematics, to display frontiers of mathematical research in the
> scope of "Development in Algebraic Geometry related to Integrable Systems
> and Mathematical Physics."
> 
> The goal is to present *inspirations from mathematics*. The lectures will
> not be anything like "an introduction to xyz" type talks. Key terminologies
> may be used even without definition, if it is easily available in books and
> trusted online resources (excluding ChatGPT). I will present an inspiration
> from mathematics of the past, and inspire the audience toward the frontiers
> in mathematics of today by this inspiration as a guide. A large part of the
> topics is based on my own research, both current interest and past
> accomplishments, but the most recent materials are not mine.
> 
> Each talk will be 75-minute long, and open discussions follow after a short
> break.
> 
> Lecture 1: "From Zeta(3) to Mirror Symmetry"
> Wednesday, May 8. 10:00--12:00
> 
> Abstract: The Riemann Zeta function is the most mysterious function in
> mathematics. This talk focuses on its special values. In the first part, I
> will explain my own unexpected encounter with some special values of Zeta.
> Topological recursion and moduli spaces of curves are behind the scene,
> which gives a new understanding of the Kontsevich proof of the Witten
> conjecture. Then I will present recent discoveries associated with Zeta(3)
> in the context of algebraic geometry and differential equations. Apéry's
> irrationality proof of Zeta(3) is the source of our inspiration. Apéry
> discovered a mysterious integer sequence in his proof. Later it was noticed
> that these numbers have direct relevance to mirror symmetry of a particular
> Fano 3-fold and its mirror Landau-Ginzburg model. I will report what has
> been proven in this direction. In the discussion part, I will formulate
> what seems to be true. Still we do not know the whole story.
> 
> Lecture 2: "Discontinuous and Biholomorphic?"
> Wednesday, May 15. 10:00--12:00
> 
> Abstract: How can we define a global higher order differential operator on
> a compact Riemann surface? This naïve question leads us to encountering the
> half-canonical sheaf and the concept of *opers*. They are connections in
> holomorphic vector bundles, but form only a very thin slice of the moduli
> space of connections. This slice forms a holomorphic Lagrangian subvariety
> of the moduli space, which is a holomorphic symplectic manifold. Are there
> other Lagrangians in this symplectic space, and if so, can we realize the
> moduli space as the total space of an analytic family of disjoint
> Lagrangians? This is the Lagrangian foliation conjecture of Carols Simpson.
> Very recently, an amazing proof was discovered for the case of SL(2)
> connections by a starting postdoctoral scholar. I will present several
> exciting moments of discoveries of the key facts appearing in this new
> result.
> 
> 
> -- 
> MOCHIZUKI Takuro <takuro ＠ kurims.kyoto-u.ac.jp>


-- 
MOCHIZUKI Takuro <takuro ＠ kurims.kyoto-u.ac.jp>