Representation Theory in Vertex Algebras – New Phase
Science / Mathematics
Physics, a realm of intricate phenomena and fundamental laws, is a rich source of mathematical structures interwoven with each other and the domain we call pure mathematics. Vertex algebras not only provide a powerful language for describing quantum field interactions but have also found applications in various areas of pure mathematics, such as representation theory, integrable systems, and algebraic geometry.
With the backing of the Serrapilheira Institute, I am pursuing my exploration of vertex algebras and their multiple representations. Building on the foundations established in the project’s initial phase to shed light on the composition of certain braid tensor categories related to knot and braid theory, I am poised to delve deeper into the connections with simplicial geometry and the enigmatic Ramarujan formulas.
