Adam Parusinski Title: Algebraic stratified general position and transversality Abstract: In classical algebraic topology, general position of chains was used by Lefschetz to define the intersection pairing on the homology of a manifold. In the singular set up a piece-wise linear stratified general position was used to define the intersection pairing on the intersection homology of a complex algebraic variety. We use the method of Whitney interpolation to construct, for any real or complex projective algebraic variety, a stratified submersive family of self-maps that yields stratified general position and transversality theorems for semi-algebraic chains. This theorem can be used to define an intersection pairing for real intersection homology, an analog of intersection homology for real algebraic varieties. Based on joint works with Clint McCrory and Laurentiu Paunescu.