Topology of real algebraic curves

Abstract

The talk can be seen as introduction to topology of real algebraic varieties. We will pay a particular attention to real algebraic curves in the projective plane and real algebraic surfaces in three-dimensional projective space, and we will speak about various classifications (topological, isotopy, and deformation) of these varieties. We will mention several recent results in the area (such as, for example, an equisingular deformation classification of real plane projective sextic curves without real points; joint work with A. Degtyarev), as well as open problems.

Ilia Itenberg

Institut de mathématiques de Jussieu

Paris Rive Gauche

Personal Homepage:

https://webusers.imj-prg.fr/~ilia.itenberg/