Title：Symbolic extensions for 3-dimensional diffeomorphisms

Speaker：Liao Gang， Suzhou University

Time：2019-12-5  14：30--15：30

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.