Workshop: Homotopical algebra and geometry

该提案是为为期一周的“同域代数和几何”研讨会提供资金。会议将于2015年4月6日至10日举行。同调代数是在20世纪60年代Quillen， Grothendieck-Verdier和Dold-Puppe的开创性作品中创建的。从那时起，它在纯数学的各个领域中得到了无数的应用，最显著的是在代数拓扑和代数几何中。在过去的几十年里，同调代数的影响扩展到表征理论、微分几何和理论物理的各个方面；它的作用和重要性不断增强。研讨会旨在汇集一群国际专家在他们的研究中使用同调代数，促进新的合作，并为发展新一代英国数学家做出贡献。工作坊将于星期一、三、四、五举行。上午的全体会议将由来自英国和海外的顶尖当代数学家进行。下午的会议将包括邀请和贡献的演讲。该研讨会的一个重要方面是嵌入其中的北部区域LMS会议。LMS会议将纪念伦敦数学学会成立150周年，会谈将反映这一主题。研讨会和会议的部分资金来自LMS。会议将于星期二下午举行。将有三场演讲：一场是历史性质的，另外两场是由著名数学家进行的，他们帮助塑造了我们对同邻代数和相关领域的现代理解。此外，它还计划举办一个维基百科编辑马拉松，这是一个为未来的维基百科编辑提供培训的活动。鉴于维基百科在我们的世界中所扮演的深刻角色，这一事件将对英国和全球学术界以及整个社会产生直接而持久的影响。

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.