Departmental Colloquium
Sergei Starchenko
University of Notre Dame
The topological closure of algebraic and semi-algebraic flows on complex and real tori (joint work with Y.~Peterzil)
Abstract: Let be a complex abelian variety and \pi\colon \mathbb{C}^n\to A
be the covering map.
It follows from a theorem of Ax that for an irreducible subvariety
X\subseteq \mathbb{C}^n the Zariski closure of \pi(X) is a coset
of an algebraic subgroup of A.
In this talk we consider \emph{the topological closure} \pi(X) of an
algebraic subvariety X of \mathbb{C}^n and describe it in terms of
finitely many algebraic families of cosets of real subtori.
We also obtain a similar description when A is a real torus and
X is a semi-algebraic set.
Friday October 27, 2017 at 3:00 PM in SEO 636