Slides and notes of the lectures:

Slides.

 The main references for my minicourse are are:

1. Cannas da Silva, A. (2001). Lectures on Symplectic Geometry (Lecture Notes in Mathematics, Vol. 1764). Springer-Verlag.

2. Brugués, J., Miranda, E., & Oms, C. (2024). The Arnold conjecture for singular symplectic manifolds. Journal of Fixed Point Theory and Applications, 26, Article 16. DOI: 10.1007/s11784-024-01105-y https://link.springer.com/article/10.1007/s00574-011-0031-6

3. Dufour, J.-P., & Zung, N. T. (2005). Poisson Structures and Their Normal Forms (H. Bass, J. Oesterlé & A. Weinstein, Eds.; Progress in Mathematics, Vol. 242). Birkhäuser Basel. https://doi.org/10.1007/b137493

4. Victor Guillemin, Eva Miranda, Ana Rita Pires, Codimension one symplectic foliations and regular Poisson structures. Bulletin of the Brazilian Mathematical Society, New Series, 42(4), 607-641. https://link.springer.com/article/10.1007/s00574-011-0031-6

5. Victor Guillemin, Eva Miranda, Ana Rita Pires, Symplectic and Poisson geometry on b-manifolds, Advances in Mathematics, Volume 264, 2014, Pages 864-896,ISSN 0001-8708, available at https://doi.org/10.1016/j.aim.2014.07.032

6. Kiesenhofer, A., Miranda, E. Cotangent Models for Integrable Systems. Commun. Math. Phys. 350, 1123–1145 (2017). https://doi.org/10.1007/s00220-016-2720-x

7. Eva Miranda and Cédric Oms. The singular Weinstein conjecture. Advances in Mathematics 389 (2021), 107925. DOI: 10.1016/j.aim.2021.107925.https://www.sciencedirect.com/science/article/pii/S0001870821003649?via%3Dihub

8.  Victor W. Guillemin, Eva Miranda, Jonathan Weitsman, On geometric quantization of b-symplectic manifolds, Advances in Mathematics, Volume 331, 2018, Pages 941-951,ISSN 0001-8708, https://doi.org/10.1016/j.aim.2018.04.003.(https://www.sciencedirect.com/science/article/pii/S0001870818301439 )

9. Weinstein, Alan. Lectures on Symplectic Manifolds. Regional Conference Series in Mathematics, No. 29, American Mathematical Society, Providence, RI, 1977.