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        <title>A multi-linear geometric estimate</title>
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        <description>This is my talk at Virginia Tech's analysis and mathematical physics seminar for the fall of 2021, which is about joint work with Alex Iosevich in which we generalize a geometric estimate on level sets of non-degenerate bilinear forms originally made in a 2008 paper of Hart and Iosevich to the case of multi-linear forms. I discuss applications to particular sets of points in the plane over a finite field which I whimsically named omphaloi after the mythical Greek center of the world as well as the relationship between this work and the sum-product conjecture. Slides: https://aten.cool/documents/slides/aten_geometric_estimate.pdf Preprint: https://arxiv.org/abs/2112.00810 The Hart and Iosevich paper: https://arxiv.org/abs/0705.4256 Alex Iosevich: https://alexiosevich.com/</description>
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