This summer school, organized as part of the “Singularities” thematic semester, will focus on symplectic topology and low-dimensional topology.

On the one hand, the theory of complex (or real) singularities offers many examples of objects in symplectic geometry (symplectic fillings of contact manifolds, for example) and in low dimension (knots/links and 3-manifolds as boundaries of singularities). On the other hand, symplectic/contact and low-dimensional tools can be used very effectively to better understand the topology of singularities.

The objective of this summer school is to present some of these aspects to an audience of master's students, PhD students and young post-doctoral students, with two mini-courses of approximately 5 hours (together with a tutorial session) and short presentations given by the participants.