2104
Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting)
Workshop
2104Period
24 Jan - 30 Jan 2021Abstract
The central topic of the workshop was the notion of logarithmic vector fields
along a divisor in a smooth complex analytic or algebraic variety, i.e., the
vector fields on the ambient variety tangent to the divisor. Following their
introduction by K.~Saito for the purpose of studying the universal unfolding of
an isolated singularity, this fundamental object has been the focus of studies
in a wide range of mathematical fields such as algebra, algebraic geometry,
singularity theory, root systems, (geometric) representation theory, combinatorics,
(toric) topology, or symplectic geometry. In the last few years the logarithmic
vector field approach has seen some unexpected and striking advances and deep
applications. The aim of the workshop was to provide reports and to
share these various new developments in the field.