Many results in discrete geometry describe combinatorial properties of finite families of points in \(\mathbf R^d\). In this talk, we discuss versions of these results for families of affine spaces. Given a family of points, if we look at the convex hulls of its subsets, there are several results describing how these sets intersect (such as Tverberg's theorem), or how they separate (such as the ham sandwich theorem). We describe new versions of both types of results for families of hyperplanes.
Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.
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Meeting ID: 915 4733 5974