醉月湖講座Lakeside Lecture Series
 
演講者：楊建平教授Professor Paul Yang (Princeton University)  
 
講 題：CR Geometry in 3-D
 
時 間：2013年2月25日 (星期一) 14:00~15:00
 
地 點：臺灣大學天文數學館102室
 
茶 點：13:30~14:00
 
摘 要：
 In this lecture I will summarize recent work on pseudo-hermitian geometry in 3-D. The analysis involves several conformally covariant operators that has their counterparts in conformal geometry in 4-D, and a new one that does not. In this geometry, the sign of fourth order operator studied by Hirachi and the analogue of the conformal Laplacian plays an important role. Under this sign condition, it is possible to solve the embedding problem and hence to solve the Cauchy-Riemann equations. In addition, the same sign condition gives the analogue of the positive mass theorem, thus the solution of the CR-Yamabe equation. Finally, a new operator introduced by Branson/Fontana/Morpurgo yields new invariant that can be identified with the renormalized volume, as well as an analogue of the sphere theorem in CR geometry.
 
主辦人：Yi-Chiuan Chen, Kin-Ming Hui, Jeremy Wong, Jeng-Daw Yu