R440, Astronomy-Mathematics Building, NTU
Invited Speakers:
Ye-Kai Wang (National Cheng Kung University)
Zhizhang Wang (Fudan University)
Organizers:
Mao-Pei Tsui (National Taiwan University)
Professor Ye-Kai Wang and Professor Zhizhang Wang will be speakers of this special day activity.
The schedule is the following.
Friday, July 15, 2016
9:30-10:00 Regstration
10-11 talk by Ye-Kai Wang
Title: Isometric embedding into 3-dimensional hyperbolic space
Abstract:
We generalize Weyl and Nirenberg's work on isometric embedding. The main result says that given a metric
on a topogical sphere, if the Gauss curvature of
is greater than -1, then there exists an isometric embedding into the 3-dimensional hyperbolic space. Moreover, the embedding is unique up to isometries in hyperbolic space (due to Guan-Shen). This is a joint work with Chen-Yun Lin.
11 -11:15 tea break
11:15-12:15 talk by Zhizhang Wang
Title: The Weyl problem in warped product space (I)
Abstract:
In these two talks, we report the progress of the Weyl problem in warped product space. We will discuss the openness, non-rigidity and some applications. These results together with the a priori estimates obtained by Lu imply some existence results. Meanwhile we reprove the infinitesimal rigidity in the space forms. This is a joint work with Chunhe Li.
12:15-14:00 Lunch & Break
14:00-15:00 Talk by Zhizhang Wang
Title: The Weyl problem in warped product space (II)
15:00-15:30 Tea break
15:30-16:30 Discussion
