报告题目 (Title)：The Missing Faces of Simplicial Spheres
中文标题：缺失的单纯复形球面面
报告人 (Speaker)： 郑海伦 助理教授（夏威夷大学）
报告时间 (Time)：2026年1月4日（周日）1：00 pm
报告地点 (Place)：F309
邀请人(Inviter)：黄红娣
报告摘要：The missing faces of a simplicial complex are known as the minimal non-faces. While the celebrated g-theorem completely characterizes the face numbers of simplicial polytopes and spheres, much less is understood about the behavior of their missing faces. In this talk, I will share recent joint work with Isabella Novik focused on establishing lower bounds for the number of missing faces in simplicial spheres. Our approach blends techniques from extremal combinatorics, commutative algebra, and rigidity theory.