CMC Algebra Seminar

2026 Seminars

2026. 1. 5 (Mon) 13:00-14:30  Room 8101
Seewoo Lee (UC Berkeley)

Positive quasimodular forms and linear programming bounds

ABSTRACT. In this talk, we introduce positive quasimodular forms and study their basic properties. As applications, we provide algebraic proofs of quasimodular form inequalities that appear in the works of Viazovska and Cohn–Kumar–Miller–Radchenko–Viazovska on the resolution of optimal 8- and 24-dimensional sphere packing and universal optimality. We also present new upper bounds for the Bourgain–Clozel–Kahane sign uncertainty principle.

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ORGANIZERS	Young-Hoon Kiem   -   Korea Institute for Advanced Study
	Chul-hee Lee   -   Korea Institute for Advanced Study
	Heejong Lee   -   Korea Institute for Advanced Study