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                * Princeton Discrete Math Seminar *
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Speaker: Julian Sahasrabudhe (Cambridge)

Thursday 10th October, 3:00 in Fine Hall 224.

Title: A new lower bound for sphere packing

What is the maximum proportion of d-dimensional space that can be
covered by disjoint, identical spheres? In this talk I will discuss a new lower
bound for this problem, which is the first asymptotically growing improvement to
Rogers' bound from 1947. Our proof is almost entirely combinatorial and reduces
to a novel theorem about independent sets in graphs with bounded degrees and
codegrees.

This is based on joint work with Marcelo Campos, Matthew Jenssen and Marcus
Michelen.

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