Distributions and foliations on 3-dimensional algebraic varieties

Abstract: A distribution on a differentiable manifold M is the assignment of a subspace $F_p$ of the tangent space $T_pM$ to each point $p\in M$. When $M$ is a complex manifold, we ask that $F_p$ varies holomorphically with p, so that $F$ becomes a subsheaf of the sheaf of local sections of the holomorphic tangent bundle $TM$. In this context, one can use the tools of algebraic geometry to study distributions on complex algebraic varieties, and many authors have followed this path in the past couple of decades. In this talk, I will present recent results obtained in various collaborations regarding the classification of distributions on 3-dimensional algebraic varieties via their singular schemes and tangent of conormal sheaves.

Portuguesecommutative algebraalgebraic geometryanalysis of PDEsalgebraic topologydifferential geometryfunctional analysisgeneral topologygeometric topologyprobabilityrings and algebras

Audience: general audience

Seminários de Matemática da UFPB