Seminar in Real and Complex Geometry

Thursday, October 29, 2020, 16:00-17:30, online (via zoom)




Stepan Orevkov
(Steklov Math. Institute and Université Paul Sabatier, Toulouse)

On real algebraic and real pseudoholomorphic curves in $RP^2$


Abstract
             

I will present an inequality for the isotopy type of a plane non-singular real algebraic curve endowed with a complex orientation (i.e., for its complex scheme according to Rokhlin's terminology) which implies in particular that an infinite series of complex schemes are realizable pseudoholomorphically but not algebraically. These are the first known examples of this kind for complex schemes of non-singular curves in $RP^2$.