On the Geometry of the Varieties of Logarithmic Pfaff Equations

Explore the geometric properties of varieties associated with logarithmic Pfaff equations in this conference talk from the 8th edition of "Geometry in Algebra, Algebra in Geometry" workshop. Delve into the mathematical structures that arise when studying these special differential equations and their geometric interpretations. Learn about the intersection of algebraic geometry and differential equations through the lens of logarithmic Pfaff systems, examining how these equations define varieties and what geometric properties these varieties possess. Discover the theoretical foundations and recent developments in this specialized area of mathematics that bridges differential geometry and algebraic geometry. The presentation is part of a comprehensive workshop bringing together researchers and graduate students working at the interface between geometry and algebra, featuring minicourses on polygons, vertex algebras, and localization theory, alongside invited lectures covering topics from supervector bundles to symplectic reduction and foliation theory.