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GAIA Seminar on complex Analytic Geometry_Prof. Andrew Zimmer

posted Jan 1, 2018, 4:45 PM by Eunyoung Choi   [ updated Jan 1, 2018, 8:03 PM ]
The automorphism group and limit set of a bounded domain

- Place: GAIA Seminar Room (#106, Mathematical Science bldg.)

- Date: 8 p.m. - 10 p.m on Monday, 8 January 2018

- SpeakerProf. Andrew Zimmer (William and Mary University)


- Abstract: 

For certain classes of bounded domains we give a precise description of the automorphism group and its limit set in the boundary. For instance, for finite type pseudoconvex domains we prove: if the limit set contains at least two different points, then the automorphism group has finitely many components and is the almost direct product of a compact group and connected Lie group locally isomorphic to Aut (Bk). Further, the limit set is a smooth submanifold diffeomorphic to the sphere of dimension 2k-1. For convex domains with C1,ε boundary we can prove a similar result. In this talk we will describe the main ideas of the proofs and discuss some applications.

 Poster  <---Click here