[geometry-ml:04066] Fwd: Geometry and Differential Equations Seminar, Wednesday, June 03, ONLINE

[Tohru Morimoto]

幾何メーリングリストの皆様

On line seminar の案内，転送させていただきます。

森本　徹


> 転送されたメッセージ:
> 
> 差出人: Wojciech Krynski <krynski ＠ impan.pl>
> 件名: Geometry and Differential Equations Seminar, Wednesday, June 03, ONLINE
> 日付: 2020年5月29日 17:38:05 JST
> 
> Dear All, 
> 
> I would like to invite you to the next meeting of the Geometry and Differential Equations Seminar at IMPAN. 
> The seminar will be held online, using the Zoom platform, next Wednesday, June 03, at 10:15AM (Warsaw time). 
> 
> To join the meeting please follow the link: 
> https://us02web.zoom.us/j/86799521965
> (Meeting ID: 867 9952 1965)
> 
> Program: 
> 
> 
> Bronislaw Jakubczyk (IM PAN)
> 
> Title: Solving geometric PDEs for mathematical Nobel of 2019 (and Fields Medal of 1986)
> 
> ABSTRACT: In 1954 C.N. Yang and R. Mills proposed a model for strong interactions in atomic nuclei. The main role in the classical version of the model was played by certain „physical fields” now called Yang-Mills fields. Mathematically, these were connections on certain vector (or principal) bundles which were supposed to satisfy a set of canonical PDEs (now Yang-Mills equations). The equations were Euler-Lagrange equations for the energy functional defined by the curvature of the connection. Almost three decades later mathematicians started to study solutions to such PDEs and got unexpected results.
> 
> We will give a gentle overwiew of results of Karen Uhlenbeck (Abel Prize 2019). These will include: existence and regularity of a connection given its curvature, solutions to Yang-Mills equations and their singularities, regulartity and singularities of harmonic maps. We will briefly mention how Uhlenbeck's results helped S. Donaldson to obtain his revolutionary results in topology of 4-manifolds. The gauge symmetry of the set of solutions to Yang-Mills PDEs was used for defining invariants of differentiable manifolds.
> 
> 
> ---
> 
> Feel free to pass this invitation to anyone that may be interested. 
> More information on the seminar can be found at: https://www.impan.pl/~krynski/GDEseminar/
> 
> 
> 
> Organizers, 
> Janusz Grabowski 
> Bronisław Jakubczyk 
> Paweł Nurowski 
> Wojciech Kryński


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