Workshop: Homotopical algebra and geometry

这项提议是为了资助一个为期一周的‘同伦代数和几何’研讨会。它将于2015年4月6日至10日举行。同伦代数是上世纪60年代S在奎伦、格罗森迪克-韦尔迪埃和多尔德-普普的开创性著作中创立的。从那时起，它在纯数学的各个领域得到了无数的应用，最显著的是在代数拓扑学和代数几何中。在过去的几十年里，同伦代数的影响扩展到了表示论、微分几何和理论物理的各个方面；它的作用和重要性一直在稳步增加。研讨会的目的是让一群使用同伦代数的国际专家在他们的研究中聚集在一起，促进新的合作，并为培养新一代英国数学家做出贡献。研讨会将于周一、周三、周四和周五举行。上午的全体讲座将由来自英国和海外的当代顶尖数学家进行。下午的会议将包括受邀的演讲和贡献的演讲。研讨会的一个重要方面是嵌入了北方地区LMS会议。LMS会议将纪念伦敦数学学会成立150周年，讲座将反映这一主题。工作坊及会议的部分经费来自香港管理学院，会议将於星期二下午举行。将有三次演讲：一次是关于历史的性质，另外两次是由著名数学家所做的，他们帮助塑造了我们对同伦代数及其相关领域的现代理解。此外，它还计划进行维基百科编辑培训活动，即维基百科未来编辑的培训活动。鉴于维基百科在我们的世界中所发挥的深远作用，此次活动将对英国和世界学术界以及整个社会产生直接和持久的影响。

The proposal is for funding a week-long workshop `Homotopical algebra and geometry'. It will be held on April 6-10, 2015. Homotopical algebra was created in the 1960's in seminal works of Quillen, Grothendieck-Verdier and Dold-Puppe. Since then it has found innumerable applications in various fields of Pure Mathematics, most notably in algebraic topology and algebraic geometry. In the last couple of decades the influence of homotopical algebra extended to representation theory, differential geometry and aspects of theoretical physics; its role and importance has been steadily increasing. The workshop aims to bring together a group of international experts using homotopical algebra in their research, foster new collaboration and contribute to developing the new generation of UK mathematicians. The workshop will be held on Monday, Wednesday, Thursday and Friday. Morning plenary lectures will be delivered by top contemporary mathematicians from the UK and overseas. The afternoon sessions will consist of invited and contributed talks.An important aspect of the workshop is the Northern Regional LMS meeting embedded into it. The LMS meeting will be commemorating the 150th anniversary of the London Mathematical Society and the talks will reflect this theme. Part of the funding for the workshop and the meeting comes from the LMS.The meeting will be held on Tuesday afternoon. There will be three talks: one of the historical nature and the other two given by prominent mathematicians who helped shape our modern understanding of homotopical algebra and related fields.Furthermore, it is planned to conduct a Wikipedia Editathon, a training event for prospective Wikipedia editors. Given the profound role played by Wikipedia in our world, this event will have an immediate and lasting impact on the UK and worldwide academic community and the society in general.