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BIMSA Lecture
BIMSA Lecture
Local hyperbolicity, inert maps and applications in Moore's conjecture
Local hyperbolicity, inert maps and applications in Moore's conjecture
Organizer
Yangyang Ruan
Speaker
Ruizhi Huang
Time
Thursday, October 16, 2025 3:30 PM - 4:30 PM
Venue
A3-4-101
Online
Zoom 435 529 7909
(BIMSA)
Abstract
We show that the base space of a homotopy cofibration is locally hyperbolic under various conditions. In particular, if these manifolds admit a rationally elliptic closure, then almost all punctured manifolds and almost all manifolds with rationally spherical boundary are $\mathbb{Z}/p^r$-hyperbolic for almost all primes $p$ and all integers $r \geq 1$, and satisfy Moore's conjecture at sufficiently large primes.
Speaker Intro
黄瑞芝于2017底在新加坡国立大学获数学博士学位，之后在中国科学院数学与系统科学研究院工作至今。主要研究代数拓扑及其在流形拓扑、微分几何与数学物理中的应用。研究成果发表于Adv. Math., Tran. AMS, J. Lon. Math. Soc, Annales l'Institut Fourier, Math. Z.等数学期刊。