AbstractMany manifolds of interest are equipped with a geometrical structure specified by a distinguished closed form. We will motivate the usefulness of considering pairs of differential forms that are linked together by a map of the distinguished form. We will show how this lead to new notions of Morse theory and flat connections, and also novel Yang-Mills type functionals. This talk is based...
AbstractWe discuss the notions of path homology and homotopy of digraphs. The following topic will bepresented.. Homology groups of digraphs.. Homotopy of digraph maps and digraphs. lnvariance of homology groups under homotopy.Fundamental group of a digraph. Invariance of the fundamental group under homotopy.Relation between the fundamental group and first homology group.Speaker IntroProfessor ...