Seminários

Stability of pullbacks of foliations on weighted projective spaces

Resumo: In this talk we will show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations on weighted projective spaces. As a consequence, we will be able to construct many irreducible components of the corresponding moduli space of foliations, most of them being previously unknown. This result also provides an alternative and unified proof for the stability of other families of foliations.

Instanton sheaves on twistor spaces of quaternionic Kahler manifolds

Resumo: The Atiyah--Ward correspondence provides a bijection between quaternionic instantons on quaternionic Kahler manifolds and holomorphic bundles (known as instanton bundles) on its twistor space; it has been the subject of a good deal of research in the past 40+ years. I will revise various results regarding instanton sheaves on complex projective spaces (which are the instanton bundles on quaternionic projective spaces), and point to new directions for the study of instanton sheaves on the the twistor spaces of the grassmanians Gr(2,C^n) and on G_2/SO(4).