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Online Seminar on Algebraic and Complex Dynamics
 
09:00 - 11:00, May 23, 2023 (Tuesday)
broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Boundedness Problems in Conformal Dynamics
Yusheng Luo (Stony Brook University)

Abstract 

In 1980s, Thurston’s formulated the geometrization conjecture for 3-manifolds, and proved the hyperbolization theorem. The keys to Thurston’s proof are two bounded results for certain deformation spaces of Kleinian groups. In early 1990s, motivated by Thurston’s boundedness theorem and the Sullivan dictionary, McMullen conjectured that certain hyperbolic components of rational maps are bounded.
In this talk, I will start with a historical discussion on a general strategy of the proof of Thurston’s boundedness theorem. I will then explain how a similar strategy could work for rational maps, and discuss some recent breakthrough towards McMullen's boundedness conjecture.

Link Information:

Zoom Meeting ID: 897 9522 8294
Passcode: 1.17628


 

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