Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians

Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the preprojective algebra. Discover how tools from cohomological Donaldson-Thomas theory can be employed to unravel these mysteries. Learn about the specific case of the cyclic quiver, where the algebra is revealed to be the universal enveloping algebra of the positive half of a certain extension of matrix differential operators on the torus. Examine how its deformation results in an explicit integral form of the affine Yangian of gl(n). Gain insights into the connections between these mathematical concepts and their implications for understanding complex algebraic structures.