Mathematical Conversations

In 1984, Robert Lazarsfeld solved an old conjecture of Remmert and Van de Ven, which stated that there are no non-trivial complex manifolds that can be covered by a projective space. His result was a consequence of Shigefumi Mori's breakthrough answer to the question "How to detect a projective space?".

In my talk, I will explain Mori's result and mention a new perspective on Remmert-and-Van-de-Ven type problems due to P. Achinger, M. Zdanowicz, and myself.