Explore a 28-minute conference talk on topological invariants of dynamic multi-parameter simplicial complexes. Delve into advanced concepts in applied algebraic topology, including ergostraining graphs, connectivity, and multiparameter simulation complexes. Learn about the probability of forming faces, dynamic versions of complexes, and phase counts. Examine stationarity, critical dimensions, and the weak limit limiting Gaussian process. Gain insights into the central limit theorem as applied to these complex mathematical structures. Conclude with a question-and-answer session to further clarify the presented concepts and their applications in the field of applied algebraic topology.