Title：Symbolic extensions for 3-dimensional diffeomorphisms
Speaker：Liao Gang， Suzhou University
Place：Room 1418, School of Mathematical Sciences, Management Research Building, East Campus
Abstract：We prove that every C^r diffeomorphism with r>1 on a three-dimensional manifold admits symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet. This answers positively a conjecture of Downarowicz and Newhouse in dimension three.