[geometry-ml:04824] 東工大幾何学セミナーのお知らせ(8月23日)
Kotaro Yamada
kotaro @ math.titech.ac.jp
2022年 8月 16日 (火) 16:53:16 JST
幾何学メイリングリストの皆様
以下のように東工大幾何学セミナーを開催しますのでお知らせいたします.
定例と曜日・場所が異なりますのでご注意ください.
日時:2022年8月23日(火)16:00--18:00
場所:352セミナー室(大岡山キャンパス本館3階)
Zoom (ハイブリッド予定)
URL は当日午前中に
http://www.math.titech.ac.jp/~kotaro/research-jp.html
にて公開します.
講演者・タイトル:
16:00-16:50 Denis Polly (Kobe Univ.)
Discrete Weierstrass-type representations
17:00-17:50 Udo Hertrich-Jeromin (TU-Wien)
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.
東京工業大学
本多宣博・梅原雅顕・山田光太郎
Geometry-ml メーリングリストの案内