Tverberg’s Theorem for Cell Complexes

Explore a generalization of the topological Tverberg's theorem in this 55-minute lecture. Delve into the fundamental concepts of Tverberg's theorem, its topological version, and its relation to the LS-version of the Borsuk-Ulam theorem. Examine key ingredients such as homotopy decomposition of discretized configuration spaces. Cover topics including prime power consequences, topological Radon theorem, and natural problems arising from the main theorem. Gain insights into configuration spaces, functors, spectral sequences, and indexing. Engage with examples and proofs to deepen understanding of this complex algebraic topology concept.