Talbot Workshops 2011 - 2013

Talbot 2010研讨会旨在创造一个非正式和协作的环境，在这里，表象理论、代数几何、拓扑学和数学物理的学生和专家一起工作，了解保形场理论、K理论和环路群的最新进展。特别是，主要由参与者讲授的讲座，最终将解释著名的Freed，Hopkins和Teleman定理的证明，该定理将环群LG的Verlinde代数与Lie群G.Talbot的G等变扭曲K理论相结合。Talbot在2011、2012和2013年的研讨会将同样涉及来自不同机构和广泛领域的不同的研究生和博士后研究人员群体，学习具有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、弦拓扑学、非阿贝尔霍奇理论和拓扑共形场理论。这些研讨会将把不同学科和许多机构的有抱负的数学家介绍到充满活力的研究领域，促进领域之间的合作，在知名数学家和年轻研究人员之间形成强大的教学和研究联系，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静修活动，将一群研究生和博士后研究人员与一名教师导师聚集在一起，对当代研究兴趣的单一主题进行为期一周的密集探索。研究的主题每年都不同，但倾向于集中在代数拓扑学、几何学和物理学之间数学的最新发展。每年，导师和组织者设计一个大约20场讲座的序列，提供这个数学主题的背景、背景和未来的研究方向。导师通常给4场讲座，参与者给其余的。塔尔博特的一个显著特点是，生活设施包含了演讲空间，导致了一种非正式但数学密集的氛围。塔尔博特研讨会将把各个学科和许多机构的有抱负的数学家介绍到充满活力的研究领域，促进各个领域之间的合作，并在知名数学家和年轻研究人员之间建立牢固的教学和研究联系。

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.