2/10/2005

Selman Akbulut
Michigan State University and IAS

Transcendental submanifolds of RP^n

Algebraic numbers are dense in R. The problem of  whether smooth submanifolds of of R^n can be approximated by algebraic subsets could be viewed as a  higher dimensional version of this property. In this talk we will discuss positive results and then construct submanifolds of RP^n which can not be isotopic to real parts of nonsingular complex subvarieties of CP^n (joint work with H.King)