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: $ 5.1万
• 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: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=759169
• 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.

拟议的研究围绕主要研究者对立方几何及其应用的深厚兴趣循环。该提案的高光包括以下内容：1）真正的疟原虫特殊商定理的新证明。2）群体的明确表征，这些类别的群体表征实际上是限制了整个组的群组3）cultersy for Dlypersive for Dressements for new for and contress for for news for for news for for neks for for neks and conterss for neks and a neks and a）3）。 4）3个manifold的一个具体和明确的虚拟置列定理。5）一项建议，证明，在树的产品中，Irreducibilty是对CoCompact晶格的一般性。6）6）对虚拟代数纤维的调查。对3- manifold search的特殊Cube综合体的虚拟代数纤维进行了研究。生长差距。