BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Intersection patterns in good covers. Frick, Florian


What are the possible Venn diagrams we can draw with open sets in Euclidean space if all regions must be contractible I will show that there is only one type of local obstruction that vanishes if and only if this is possible. If the regions of the diagram must be convex, this question is much more difficult, and stronger obstructions exist. In this case the intersection combinatorics are captured by convex neural codes, and I will present some recent progress towards understanding these codes. This is joint work with Aaron Chen and Anne Shiu.

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