Explore algebraic tools in fractal geometry through this 59-minute conference talk by Faustin Adiceam. Delve into topics such as the Openline conjecture, ineffective proofs, random lattices, and Lambda measure. Examine the Sato Bernstein Theory, zeta distribution, and Joule operator. Investigate volume estimates, the talbarian theorem, and resolution of singularity similarities. Analyze generic behavior, the pigeon principle, and hazard dimension computation. Learn about tomography, decay rates, and the Theory of All Minimality. Discover semi-algebraic levels of flatness and homogeneous inequalities. Recorded during the "Multifractal analysis and self-similarity" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France.