Essays for the course MAT6315 in Geometric Analysis at Université de Montréal (see files below):
Marcelo Sarkis Atallah - The Hodge theorem on compact complex manifolds
Filip Brocic - Seiberg-Witten invariants in symplectic topology
Jean-Philippe Chassé - Le théorème d'indice d'Atiyah-Singer
Jarry Gu - Équations de Monge-Ampère
Pierre-Alexandre Mailhot - The Yamabe problem on S^n
Lydia Mezrag - Weyl's asymptotic formula
Vojtech Teska - Pseudo-differential operators