## Dynamical Systems

•  Andrey Gogolyev, Ohio State University
•  Rigidity for higher dimensional expanding maps
•  11/19/2019
•  3:50 PM - 4:50 PM
•  C304 Wells Hall

Expanding maps are self covers of smooth compact manifolds which expand the lengths of all non-zero tangent vectors. Classification of such maps up to topological conjugacy is known due to work of Shub, Franks and Gromov. Classification up to smooth conjugacy should be quite different because periodic points of expanding maps carry invariants of $C^1$ conjugacy. Shub and Sullivan classified expanding maps on the circle up to smooth conjugacy on the circle. I will explain smooth classification of expanding maps in higher dimensions on and open dense set in the space of expanding maps. Joint work with F. Rodriguez Hertz.

## Contact

Department of Mathematics
Michigan State University