GRK 1692: Curvature, Cycles and Cohomology

GRK 1692：曲率、周期和上同调

基本信息

批准号：
169166737
负责人：
金额：
--
依托单位：
Universität Regensburg
依托单位国家：
德国
项目类别：
Research Training Groups
财政年份：
2010
资助国家：
德国
起止时间：
2009-12-31 至 2018-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/169166737?language=en
关键词：
GRK 1692 Curvature Cycles Cohomology

项目摘要

The research of the RTG in the second period will be focussed on1. heights and growth conditions in arithmetic and geometric group theory2. global differential geometry, topology, and analysis of Dirac operators3. geometric ows evolving hypersurfaces and metrics and involving curvature4. singularities and compactifications in geometry and arithmetic and for PDEsThe common ground for a joint PhD education of students in these areas can be described by topics like 1. geometric language2. categorial understanding of structure3. homotopical methods4. advanced structures in analysis.It is our idea to promote progress by enabeling the students to transfer ideas from arithmetic and topology to analysis and back. The RTG extends the well established structure of the department consisting of three closely interacting research groups in arithmetic geometry, global analysis, and partial differential equations. The RTG can build on a great experience in guiding PhD students to the frontiers of research. It will complement the Johannes-Kepler-Forschungszentrum für Mathematik and the newly founded CRC "Higher Invariants" on the educational side. The RTG will organize a major piece of the structured PhD-education at the mathematical department in Regensburg on three levels: 1. Introductory courses and motivational lectures (Ringvorlesung, self-organized seminars),2. Horizon broadening (colloquium of the RTG, summer schools, workshops and conferences),3. Detailed learning (advanced interdisciplinary courses, oberseminars, self-organized learning).

在第二阶段对RTG的研究将集中在1上。算术和几何组理论的高度和生长条件2。狄拉克运营商的全球差异几何形状，拓扑和分析3。几何ORW会不断发展的高度曲面和指标，并涉及曲率4。几何学和算术的奇异性和压缩，以及对于这些领域的学生的共同博士教育的共同基础，可以由1.几何语言等主题描述。对结构的分类理解3。同源方法4。分析中的高级结构。我们的想法是通过将学生从算术和拓扑转移到分析和返回来促进进步。 RTG扩展了该部门的良好结构，该结构由三个紧密相互作用的研究组组成，用于算术几何，全球分析和部分微分方程。 RTG可以在指导博士学位学生到研究前沿的优质经验基础上发展。它将补充约翰内斯·贝克（Johannes-kepler-ForschungszentrumfürMathematik）和新成立的CRC“高级不变式”。 RTG将在雷格斯堡的数学部门组织三个级别的结构化博士学教育的主要部分：1。入门课程和动机讲座（ringvorlesung，自组织的半手），2。地平线拓宽（rtg colloquium of rtg of rtg，summer Schools，Summer Schools，Summer Schools，summy Schools，Workshops和Workshops and Confiness和Chercecters and Contriness），3。详细的学习（高级跨学科课程，Oberseminars，自组织学习）。

项目成果

期刊论文数量（65）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Isometric Embeddings in Bounded Cohomology

DOI：
10.1142/s1793525314500058
发表时间：
2013-05
期刊：
arXiv: Geometric Topology
影响因子：
0
作者：
M. Bucher;M. Burger;R. Frigerio;A. Iozzi;Cristina Pagliantini;M. B. Pozzetti
通讯作者：
M. Bucher;M. Burger;R. Frigerio;A. Iozzi;Cristina Pagliantini;M. B. Pozzetti

Nonsmooth pseudodifferential boundary value problems on manifolds