Finitely-generated modules over special biserial algebras: a combinatorial model using strips and belts

特殊双列代数上的有限生成模块：使用条带和带的组合模型

• 批准号: 2271342
• 金额: --
• 依托单位: University of Bristol
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2271342
• 关键词: Finitely; generated; modules; over; special

Combinatorial algebraic geometry is the study of varieties with a combinatorial structure. Tropical varieties form an important part of this field. Due to combinatorial tools, such varieties play an important role in commutative algebra, algebraic geometry and combinatorics. This project concerns the study of tropicalisation of varieties and their degenerations into toric varieties and exploring further connections with cluster algebra, and theoretical physics, with a view towards applications in statistics.

组合代数几何是研究具有组合结构的簇。热带品种是这一领域的重要组成部分。由于组合工具的存在，这类簇在交换代数、代数几何和组合数学中起着重要的作用。该项目涉及品种的热带化及其退化为环面品种的研究，并探索与簇代数和理论物理的进一步联系，以期在统计学中应用。