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Three-point bounds for sphere packing

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If you have a question about this talk, please contact Hamza Fawzi.

The sphere packing problems asks for the densest packing of Euclidean space by congruent balls that do not intersect in their interiors. The Cohn-Elkies linear programming bound can be used to obtain upper bounds on the optimal density and has been used by Viazovska and others to show the E_8 root lattice and Leech lattice configurations in dimensions 8 and 24 are optimal. In other dimensions (except for dimensions 1 and 2) the linear programming bound is not expected to be sharp and currently only small improvements on this bound are known. In this talk I will discuss new three-point bounds for sphere packing and lattice sphere packing that we use to obtain larger improvements.

Joint work with Henry Cohn and Andrew Salmon

Join Zoom Meeting https://maths-cam-ac-uk.zoom.us/j/98523135167?pwd=U01ldkI1Vnk5OHpYeEo3UXJJUE1ZZz09

Meeting ID: 985 2313 5167 Passcode: 3aHUXI5F

This talk is part of the CCIMI Seminars series.

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