Complex Projective Spaces Via Surface Groups Representations

My plan is to explain how complex projective spaces can be identified with components of totally elliptic representations of the fundamental group of a punctured sphere into PLS(2,R). I will explain how this identification realizes the pure mapping class group of the punctured sphere as a subgroup of the group of Hamiltonian diffeomorphisms of the complex projective space.



Arnaud Maret


Sorbonne Université in Paris