Colloquium / Seminars
Topic:Four-points semidefinite bound for equiangular lines
Speaker:Prof. Yu, Wei-Hsuan
(Department of Mathematics, Nation Central University)Date time:Mar. 1, 2022 14:00 ~15:00
Venue:SA223
Abstract:
Abstract
We offer an alternate version of the three-points semidefinite programming formula for spherical codes and spherical $s$-distance sets. The alternative formulas would be simpler when applying on spherical $s$-distance sets. Furthermore, we use the four-points semidefinite programming method symbolically to sharpen the upper bounds on the cardinality of equiangular lines in $R^d$. Our results improve the bounds for infinitely many dimensions $d$ with prescribed angles.
Download:Talk_1110301.pdf
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