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.

Intro
Tverbergs theorem
Topology
Prime power
Consequences
Topological radon theorem
Questions about Tverbergs theorem
Main Tverbergs theorem
Examples
Main Theorem
Proof
Configuration space
Functors
Spectral sequence
Index
Natural problems
Cats of one