**UM Math Graduate Students Seminar**

Dr. Shulim Kaliman

*University of Miami*

**will present**

**Algebraic automorphisms of Euclidean spaces. **

Friday, October 28, 2011, 4:00pm

Ungar Building Room 402

**Abstract:**We discuss the notion of an algebraic automorphism of a Euclidean space (that is also called a polynomial coordinate substitution). We consider properties of the group of such automorphisms, its one-dimensional unipotent subgroups, and the actions generated by these subgroups on Euclidean spaces. Some nontrivial results and problems associated with these notions will be discussed.

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