Vertex Algebras and Special Holonomy with Torsion - Minicourse 01

Explore the mathematical foundations of vertex algebras and their connections to special holonomy with torsion in this first lecture of a comprehensive minicourse. Delve into advanced topics at the intersection of algebra and geometry as part of the 8th edition of the "Geometry in Algebra, Algebra in Geometry" workshop at IMPA, Rio de Janeiro. Learn from Mario Garcia Fernandez of ICMAT, Spain, who presents sophisticated mathematical concepts designed for researchers and postgraduate students working at the interface between geometric and algebraic structures. Discover how vertex algebras, which are fundamental algebraic structures in mathematical physics and representation theory, relate to special holonomy manifolds that incorporate torsion, providing insights into both pure mathematics and theoretical physics applications. This lecture serves as the foundation for understanding the intricate relationships between these advanced mathematical concepts, setting the stage for deeper exploration in subsequent sessions of the minicourse.