Talbot Workshops 2011 - 2013

塔尔博特研讨会 2011 - 2013

• 批准号: 1007096
• 负责人: Haynes Miller
• 金额: $ 6.03万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1007096&HistoricalAwards=false
• 关键词: Talbot; Workshops; 2011; 2013

The Talbot 2010 workshop aims to create an informal and collaborative environment where students and specialists in representation theory, algebraic geometry, topology, and mathematical physics work together to understand recent advances in conformal field theory, K-theory, and loop groups. In particular, the lectures, given primarily by the participants, will culminate in explaining the proof of the celebrated theorem of Freed, Hopkins, and Teleman that identifies the Verlinde algebra of a loop group LG with the G-equivariant twisted K-theory of the Lie group G. Talbot workshops in 2011, 2012, and 2013 will likewise involve a diverse group of graduate students and postdoctoral researchers from different institutions and from a wide range of fields to study a specific subject of contemporary mathematical importance. Possibilities include, but are not limited to, stability conditions on triangulated categories, string topology, non-abelian Hodge theory, and topological conformal field theory. These workshops will introduce aspiring mathematicians in a variety of disciplines and from many institutions to vibrant areas of research, fostering collaboration between fields, forming strong pedagogical and research ties between established mathematicians and young researchers, and thus promoting future collaboration and research.The Talbot workshop is an innovative annual mathematical retreat that brings a group of graduate students and postdoctoral researchers together with a faculty mentor for a week-long, intensive exploration of a single topic of contemporary research interest. The topic of study varies from year to year but tends to focus on current developments in mathematics at the interface of algebraic topology, geometry, and physics. Each year, the mentor and organizers design a sequence of approximately twenty lectures, providing background, context, and future research directions in this mathematical topic.The mentor typically gives four of the lectures, and participants give the rest. A distinguishing feature of Talbot is that the living facilities contain the lecture space, leading to an informal but mathematically intensive atmosphere. The Talbot workshops will introduce aspiring mathematicians in a variety of disciplines and from many institutions to vibrant areas of research, fostering collaboration between fields and forming strong pedagogical and research ties between established mathematicians and young researchers.

在塔尔博特2010年研讨会的目的是创造一个非正式的和协作的环境，学生和专家在表示理论，代数几何，拓扑学和数学物理一起工作，了解共形场论，K理论和循环群的最新进展。特别是，讲座，主要是由参与者，将最终解释的证明著名定理的弗里德，霍普金斯，和Teleman，确定Verlinde代数的一个循环群LG与G-等变扭曲K理论的李群G。2011年、2012年和2013年的塔尔博特研讨会也将邀请来自不同机构和广泛领域的研究生和博士后研究人员参加，研究当代数学重要性的特定主题。可能性包括但不限于三角范畴的稳定性条件、弦拓扑、非阿贝尔霍奇理论和拓扑共形场论。这些讲习班将介绍有抱负的数学家在各种学科和从许多机构到充满活力的研究领域，促进领域之间的合作，形成强大的教学和研究之间的联系建立数学家和年轻的研究人员，从而促进未来的合作和研究。塔尔博特研讨会是一个创新的年度数学务虚会，汇集了一批研究生和博士后研究人员，一个教师导师为一个为期一周的，当代研究兴趣的单一主题的密集探索。研究的主题每年都有所不同，但往往集中在代数拓扑，几何和物理学的接口数学的当前发展。每年，导师和组织者设计一系列大约20个讲座，提供背景，背景和未来的研究方向在这个数学主题。导师通常会给四个讲座，和参与者给休息。塔尔博特的一个显着特点是，生活设施包含讲座空间，导致一个非正式的，但数学密集的气氛。塔尔博特研讨会将介绍有抱负的数学家在各种学科和许多机构的研究充满活力的领域，促进领域之间的合作，并形成强大的教学和研究之间的联系建立数学家和年轻的研究人员。