**Dirac algebroid formed by General Relativity’s constraints**

**Seminar 1)** Interplay between foliations and algebroids**Seminar 2)** Combinatorial improvements in understanding of Dirac-type Algorithms for constrained systems. **Seminar 3)** Using differential geometric flow methods to better understand the subsequent Problem of Observables**Seminar 4) **how deriving spacetime from space rests on cohomology

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## Shape (In)dependent Inequalities for Triangleland’s Jacobi and Democratic-Linear Ellipticity Quantitities

Abstract Sides and medians are both Jacobi coordinate magnitudes. These furthermore enter equably into the spherical coordinates on Kendall’s shape sphere and the Hopf coordinates. This motivates treating medians on the same footing as sides in the geometry of triangles and the ensuing Shape Theory. In this article, we consequently reformulate inequalities for the medians … Continue reading Shape (In)dependent Inequalities for Triangleland’s Jacobi and Democratic-Linear Ellipticity Quantitities

## Relational Variables for Graph Theory

Abstract We systematically consider simple relational variables — relative variables, ratio variables and dilatational variables — for Graph Theory. We apply these to simplifying graph inequalities and elucidating a large number Graph-Theoretically significant probability-valued variables. This material has further use in developing network stucture quantifiers. It represents interaction between Similarity Geometry, and basic Shape Theory … Continue reading Relational Variables for Graph Theory