Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore gravitating vortices and symplectic reduction by stages in this 54-minute conference talk delivered at the 8th edition of the "Geometry in Algebra, Algebra in Geometry" workshop at IMPA, Rio de Janeiro. Delve into advanced mathematical concepts at the intersection of differential geometry and algebraic structures as the speaker examines the theoretical framework connecting gravitational physics with vortex dynamics through the lens of symplectic geometry. Learn about the sophisticated mathematical techniques of symplectic reduction by stages and their application to understanding gravitating vortex configurations. Discover how these geometric methods provide insights into the behavior of vortices under gravitational influence and the underlying algebraic structures that govern such systems. The presentation forms part of a comprehensive workshop program designed to foster exchange between researchers working at the interface of geometry and algebra, featuring minicourses on polygons, vertex algebras, and localization theory, alongside invited talks covering topics from Bruhat cells to algebraic cycles on Shimura varieties.
