| Invited speakers ： |
Professor Franz Pedit (UMASS Amherst, USA)* |
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Professor Christoph Bohle (University of Tuebingen, Germany)* |
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Professor Lynn Heller (University of Tuebingen, Germany)* |
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Professor Tim Hoffmann (Technische Universitaet Muenchen, Germany)* |
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Professor Katsuei Kenmotsu (Tohoku University, Japan)* |
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etc. (*: a confirmed speaker ) | |
| Title and Abstract of Talks ： abstract
(in preparation) |
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| Tim Hoffmann (Technische Universitaet Muenchen) |
| Title: s-conical minimal and cmc nets |
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| Abstract: TBA
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| Franz Pedit (UMASS Amherst) |
| Title:Constrained Willmore surfaces and conformal Willmore gradient flow |
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| Abstract:
The constrained Willmore problem asks for the minimizers of the Moebius invariant Willmore energy,
the total squared mean curvature over the surface, in a given conformal class.
Utilizing the spinorial description, the space of surfaces of fixed genus and conformal type
is viewed as a submanifold in the space of Dirac potentials.
The gradient of the distance function on this submanifold gives rise to a flow which decreases
the Willmore energy and thus can be used to obtain candidates for the minimizers.
Since our flow does not loose derivatives
it can be analyzed using a filtered version of the Picard-Lindelov theorem.
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| Christoph Bohle (University of Tuebingen) |
| Title:
Multi--component KP and the Differential Geometry of Surfaces (and Curves) |
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| Abstract:
In my talks I give an elementary introduction to the multi--component version of
the Kadomtsev--Petviashvili (KP) hierarchy. I plan to focus on some geometric aspects that
don't seem to be as well known as they should be.
The aim is to explain how several fundamental ingredients of the quaternionic holomorphic approach
to surface theory appear naturally within KP theory.
|
| a
| Lynn Heller (University of Tuebingen) |
| Title: Constrained Willmore Minimizers |
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| Abstract:
In my talk I consider compact immersed surfaces minimizing the Willmore energy under the constraint of
prescribed conformal class.
For spheres, where there exist only one conformal structure, the constrained Willmore minimizer is the round sphere.
For topological tori the Willmore conjecture, solved by Marquez and Neves,
shows that the Clifford torus minimizes the Willmore energy in the class of all immersions,
and thus it clearly also minimizes the energy in its conformal class - the square class.
The only other case where the constrained Willmore minimizers are determined (by Ndiaye and Sch\"atzle) is
for rectangular conformal classes in a small neighborhood of the square class, where the homogenous tori minimizes.
I want to construct candidates of constrained Willmore minimizers for more generic conformal classes
and then discuss how to generalize the Ndiaye and Sch\"atzle result to an open neighborhood of the square class
in Teichm\"uller space. This is joint work with Cheikh Ndiaye.
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| Katsuei Kenmotsu (Tohoku University) |
| Title: Parallel mean curvature surfaces in two-dimensional complex space forms |
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| Abstract:
This is a survey talk of my recent works for immersions of a real two-dimensional manifold
into a complex two-dimensional complex space form with parallel mean curvature vector. When
the ambient space is a complex two-plane, it is known that such parallel mean curvature
surfaces are exhausted by constant mean curvature surfaces in real three-dimensional space
forms. When the ambient space is a non-flat complex space form, we show local and global existence theorems of such immersions.
As an application, we explicitly determine tori with parallel mean curvature vector, both in the complex projective plane and
the complex hyperbolic plane.
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| ETC. |
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(Provisional) Program ：
program (in preparation)
| 2/18（Thu） |
AM 09:30-10:00 |
Morito |
Registration and Opening |
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AM 10:00-11:00 |
Morito |
Tim Hoffmann |
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AM 11:10-12:10 |
Morito |
Franz Pedit |
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PM 13:30-14:30 |
Morito |
Christoph Bohle |
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PM 14:40-15:40 |
Morito |
Lynn Heller |
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PM 15:50-16:50 |
Morito |
Katsuei Kenmotsu |
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PM 18:00- |
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Suggestion to Speakers: At the lecture room there are enough
whiteboards, the computer projector and the visualizer. Please prepare
your talk using them.
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Notice： This workshop is held as one of activities under
the above JSPS program. |
| Link： |
Osaka City University Advanced Mathematical Institute
(OCAM I) |
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Department of Mathematics, Osaka City
Univercity |
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JSPS Program for Advancing Strategic International Networks to
Accelerate the Circulation of Talented Researchers
"Mathematical Science of Symmetry, Topology and Moduli,
Evolution of International Research Network based on OCAMI"
|
|
OCAMI-KOBE-WASEDA International Workshop on "Differential Geometry and Integrable Systems" ,
February 13 (Sat)- February 17 (Wed), 2016, at Osaka City University and Kobe University. |
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Japan-Austria Joint Workshop "Transformations and singularities"
organized by Professors Yoshihiko Suyama (Fukuoka University), Udo Hertrich-Jeromin (TU Wien),
Masaaki Umehara (TIT) and Kotaro Yamada (TIT),
February 19 (Fri)- February 23 (Tue), 2016, Tokyo Institute of Technology
|
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| Support： |
JSPS Program for Advancing Strategic International Networks to
Accelerate the Circulation of Talented Researchers |
|
(Oct. 2014-Mar. 2017) |
|
"Mathematical Science of Symmetry, Topology and Moduli,
Evolution of International Research Network based on OCAMI" |
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(Osaka City University - Kobe University - Waseda University,
Principal investigator: Yoshihiro Ohnita) | |
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Contact（e-mail）
Yoshihiro Ohnita： ohnita (at) sci.osaka-cu.ac.jp
| |