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Title: A Survey of the Cap Set Problem
Authors: Kim, Alexander
Advisors: Dvir, Zeev
Department: Mathematics
Class Year: 2021
Abstract: In the first part of this paper, I adapt a portion of a paper by Davis and Maclagan—which gives a short proof of the maximal cap in F 4 3 being of size 20—into a variable- and matrixbased notation, for ease of understanding. This is the notation that I initially developed for myself, in order to understand the existing literature. Then, in the remainder of the paper, I survey some of the recent breakthroughs that have been made in the cap-set problem, and their applications.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2021

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