Conference on Equivariant Elliptic Cohomology and Geometric Representation Theory

该奖项支持研讨会“几何表示理论和等变椭圆上同调”将于2019年6月10日至14日在伊利诺伊大学厄巴纳-香槟分校举行。本次研讨会将为在表示论，拓扑学和数学物理领域工作的数学家提供机会，分享他们的研究成果并开展合作。赠款资金将主要用于支持与会者的差旅费和出席费用，特别是研究生，最近的博士和缺乏自己的差旅费的研究人员。广义地说，表示论研究对称性，拓扑学研究数学空间，而数学物理学则试图从理论物理学中找到思想的数学基础。这三个领域走到一起，在新兴领域的等变椭圆上同调。这是一个特殊的数学对象，它植根于所有这三个数学领域。更好地了解这个物体将对这些领域产生深远的影响，并在它们之间建立以前看不见的联系。 这些讲习班将在国际上进行宣传，研究生和代表性不足的群体的成员将得到最优先的资助。该研讨会的网站是https://faculty.math.illinois.edu/~ecliff/MRC/EEC.htmlThis奖反映了NSF的法定使命，并已被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估的支持。

This award supports the workshop "Geometric Representation Theory and Equivariant Elliptic Cohomology'' to take place June 10--14, 2019, at the University of Illinois at Urbana-Champaign. This workshop will provide the opportunity for mathematicians working in the fields of representation theory, topology, and mathematical physics to share their research findings and develop collaborations. Grant funds will be utilized primarily to support the travel and attendance costs of conference participants, particularly graduate students, recent PhDs, and researchers who lack their own travel funds. Broadly speaking, representation theory studies symmetries, topology studies mathematical spaces, and mathematical physics looks to find mathematical underpinnings for ideas from theoretical physics. These three areas come together in the burgeoning field of equivariant elliptic cohomology. This is a particular mathematical object with roots in all three of these areas of mathematics. A better understanding of this object would both have deep impacts in these areas and also forge previously unseen connections between them. The workshops will be advertised internationally, and graduate students and members of underrepresented groups will be given top priority for funding. The website for the workshop is https://faculty.math.illinois.edu/~ecliff/MRC/EEC.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.