- Time/Date:
- 16:00--18:00/August 23, 2022
- Venue:
- Seminar Room 352 (3rd floor of the main building),
Ookayama Campus, Tokyho Inst. Tech
Zoom:
https://zoom.us/j/92940411873?pwd=Qjk0RW5kek1UUmw4aCtLaHhUSWF3Zz09
- Speakres and Titles
-
Denis Polly (Kobe Univ.)
Discrete Weierstrass-type representations
Udo Hertrich-Jeromin (TU-Wien)
Symmetry breaking in geometry
- Abstracts:
-
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.
Copyright (C) Kotaro Yamada
