An important geometric invariant of a hypersurface singularity is its Fukaya–Seidel category. In this talk, I will motivate and describe the study of two special families of isolated singularities. Time permitting, I will introduce “type A symplectic Auslander correspondence”, a purely geometrical construction which realises a notable result in representation theory.
Mirror Symmetry predicts a correspondence between the complex geometry (the B-side) and the symplectic geometry (the A-side) of suitable pairs of objects. In this talk I will consider certain orbifold del Pezzo surfaces falling outside of the standard mirror symmetry constructions. I will describe the derived category of coherent sheaves of the surfaces (their B-side), and discuss early results on the A-side. This is joint work with Franco Rota.
In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.
In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.
In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.
