Compact Manifolds ClassificationCovers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Dimension of Algebraic VarietyExplores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Tangent Spaces InsightsExplores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.
Signal RepresentationsCovers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
