Abstract

In the context of a pseudo-Riemannian conformal manifold  with  , a distinguished family of curves known as conformal circles, or conformal geodesics, emerges. These curves satisfy a third-order differential equation for non-null conformal circles. One classical problem is to determine whether conformal circles are essential for a conformal manifold by considering whether a diffeomorphism is a conformal diffeomorphism, provided it maps unparametrized conformal circles to unparametrized conformal circles. In this presentation, I will introduce the definition of a conformal circle and discuss its holographic interpretation. Additionally, I will present my results concerning both the classical problem and the holographic interpretation of the problem.

 

WebEX Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m3cc06c1a29f4d40c2635956fc22aab76

Meeting number (access code): 2514 033 9066

Meeting password: daS58yYr6Ja

 

Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Ulrich Menne (NTNU), Chung-Jun Tsai (NTU)