## On a geometric Ramsey number

#### Imre BaranyRenyi Institute of Mathematics

Organizers: Igor Pak and Greta Panova; Location: MS 7608; Abstract: A partial result: if a planar curve intersects every line in at most 3 points, then it can be partitioned into 4 convex curves. This result can be extended to R^d, and the extension implies a good, asymptotically precise, lower bound on a geometric Ramsey number. Joint result with Jiri Matousek and Attila Por.

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