SIMBa: Osculating spaces and Lefschetz properties

El proper dimecres, 14 de novembre, se celebrarà una nova xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Martí Salat Moltó
Universitat: Universitat de Barcelona

Data: Dimecres, 14 de novembre de 2018
Resum: Let $X \in \mathbb{P}^N$ be an algebraic variety. The sth osculating space of $X$ at a point $p \in X$ is the vector space $T_{p}^{(s)}X$ spanned by all the sth partial derivatives of a local parametrization of $X$ at $p$. Hence it can be seen as a natural generalization of the well-known notion of tangent space. It is a wide and longstanding problem to study and classify varieties whose osculating space is defective (i.e. it does not reach the maximal dimension).
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