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Explore the mathematical relationship between eigenvalue multiplicity and equiangular lines in this 57-minute conference talk by Zilin Jiang from BIMSA, presented at the International Conference on Combinatorics and Algebraic Geometry (ICBS2025). Delve into advanced topics in spectral graph theory and combinatorial geometry as the speaker examines how eigenvalue multiplicities relate to configurations of equiangular lines, which are sets of lines through the origin where any two lines meet at the same angle. Gain insights into the theoretical foundations and applications of these mathematical concepts, including their connections to coding theory, quantum information, and algebraic combinatorics. Learn about current research developments in this specialized area of mathematics and discover how eigenvalue techniques can be applied to solve problems involving geometric configurations of lines in high-dimensional spaces.
