Real Loci of Non-Real Varieties - Mathematics Department Colloquium

Explore the intricacies of real algebraic geometry in this mathematics department colloquium talk delivered by Oleg Viro at Stony Brook University. Delve into the concept of cooriented submanifolds and their relationship to integer cohomology classes. Discover how coorientations naturally emerge in real algebraic geometry, particularly when examining the intersection of real varieties with their complexifications. Learn about the special properties of real subvarieties resulting from these intersections, including examples in real projective space. Investigate the connection between coorientation and the geometry of pencils of real hypersurfaces. Gain insights into the upper bounds for linking numbers between cooriented subvarieties and real curves bounding in their complexifications.