Conference on Equivariant Elliptic Cohomology and Geometric Representation Theory

该奖项支持将于2019年6月10日至14日在伊利诺伊大学厄巴纳-香槟分校举行的“几何表示理论与等变椭圆上同调”研讨会。本研讨会将为从事表示理论、拓扑学和数学物理领域的数学家提供分享他们的研究成果和开展合作的机会。赠款资金将主要用于支持与会者的旅费和出席费用，特别是研究生、新近毕业的博士和没有自己旅费的研究人员。广义而言，表示论研究对称性，拓扑学研究数学空间，数学物理学从理论物理中寻找思想的数学基础。这三个领域在等变椭圆上同调这一新兴领域中汇聚在一起。这是一个特殊的数学对象，植根于这三个数学领域。更好地了解这一天体既会对这些领域产生深刻影响，也会在它们之间建立以前看不到的联系。研讨会将在国际上进行宣传，研究生和代表性不足群体的成员将获得最优先的资助。研讨会的网站是https://faculty.math.illinois.edu/~ecliff/MRC/EEC.htmlThis奖，反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.