The first call for applications for the new edition of the PhD Program in Mathematics UC|UP (starting September 2019) will be open during January 02, 2019 - February 04, 2019
The prize Eng. António de Almeida for the best doctoral thesis defended at FCUP in the years 2015 to 2017 in the areas of Mathematics, Statistics and Computer Science was awarded to Célia Borlido for her thesis "The word problem and some reducibility properties for pseudo- varieties of the form DRH", supervised by Prof. Jorge Almeida within the scope of PIUDM.
Symplectic linear algebra. Symplectic manifolds. Symplectomorphisms. Lagrangian submanifolds. Theorems of Darboux and Weinstein (lagrangian neighborhood). Hamiltonian vector fields. Brief introduction to Poisson manifolds. Hamiltonian actions and moment map. Noether Theorem. Equivariance of the moment map and coadjoint orbits. Convexity Theorem. Symplectic reduction. Additional topics: Almost complex structures. Kähler manifolds. Contact manifolds. Lie algebroids and Poisson geometry. Toric symplectic manifolds.