Subgroups and Combinatorial Nonpositive Curvature

子群和组合非正曲率

• 批准号: RGPIN-2018-04453
• 负责人: Wise, Daniel
• 金额: $ 2.55万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2018
• 资助国家: 加拿大
• 起止时间: 2018-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=668730
• 关键词: Subgroups; Combinatorial; Nonpositive; Curvature

***The proposed research circulates around the principal investigator's deep interest in cubical geometry and its applications.***Highlights of the proposal include the following:******1) A genuinely new proof of the Malnormal Special Quotient Theorem.***2) An explicit characterization of the class of groups that are virtually limit groups.***3) A cubulation result for full relatively hyperbolic amalgams.3) A new and more general form of nonpositively curvature for square complexes.***4) A concrete and explicit virtual cubulation theorem for 3-manifolds.***5) A proposal to prove that irreducibilty is generic for cocompact lattices in the products of trees.***6) An investigation of virtual algebraic fibering for special cube complexes – beyond that obtained in the 3-manifold setting.***7) A continued search for a unified theory of coherence.***9) An exploration of growth-gaps.

***拟议的研究围绕着主要研究者对立方几何及其应用的浓厚兴趣展开。***该提案的亮点包括以下内容：******1) 反常特殊商定理的真正新证明。***2) 对实际上是极限群的群类的明确表征。***3) 完全相对双曲汞齐的求积结果。3) 一种新的、更一般的形式 平方复形的非正曲率。***4) 3-流形的具体且明确的虚拟立方定理。***5) 证明不可约性对于树的乘积中的协紧格子是通用的提议。***6) 对特殊立方复形的虚拟代数纤维的研究 - 超出了在 3-流形设置中获得的结果。***7) 继续 寻找统一的一致性理论。***9) 对增长差距的探索。