【ハイブリッド開催】東工大幾何セミナー：Denis Polly 氏・Udo Hertrich-Jeromin 氏

場所: 本館３階Ｈ３５２セミナー室で対面、Zoomのハイブリッド形式で開催する予定です。
※いつもと曜日が違いますのでご注意ください。
Zoom URLは講演開始までに http://www.math.titech.ac.jp/~kotaro/research-jp.html にてお知らせします。

講演: 16:00-16:50 Denis Polly 氏： Discrete Weierstrass-type representations
17:00-17:50 Udo Hertrich-Jeromin 氏： Symmetry breaking in geometry
アブストラクト: Polly: Discrete Weierstrass-type representations have played a crucial role in the development of integrable discrete differential geometry. They were used to define discrete analogues of important surface classes such as minimal surfaces in Euclidean space and surfaces of constant mean curvature 1 in hyperbolic space.
In this talk, we present a sphere geometric interpretation of many well-known Weierstrass-type representations. In pursuit of that we discuss discrete isothermic sphere congruences and discrete Omega nets from the point of view of Laguerre geometry. We will recover Weierstrass-type representations as certain applications of the Omega transformation. The presented results are taken from a joint project with Mason Pember and Masashi Yasumoto.

Jeromin: We shall investigate a geometric mechanism that may, in analogy to similar notions in physics, be considered as "symmetry breaking" in geometry and see various ways in which this mechanism materializes - hoping to extract patterns that may lead to a deeper understanding of how "symmetry breaking phenomena" in geometry come about and how they compare to symmetry breaking phenomena known from physics.

更新日：2022.08.16

【ハイブリッド開催】東工大 幾何セミナー：Denis Polly 氏・Udo Hertrich-Jeromin 氏