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Workshop on Symmetric Spaces, Their Generalizations, and Special Functions

对称空间及其概括和特殊函数研讨会

基本信息

批准号：
1939600
负责人：
Siddhartha Sahi
金额：
$ 1.78万
依托单位：
Rutgers University New Brunswick
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-04-01 至 2024-03-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1939600&HistoricalAwards=false
关键词：
Workshop Symmetric Spaces Their Generalizations

项目摘要

This award will support participation by U.S.-based mathematicians, especially graduate students and other early-career researchers, in the upcoming international workshop and conference on Symmetric Spaces, Their Generalizations, and Special Functions, which will be held at the University of Ottawa from May 14 until May 17, 2020. The goal of the workshop is to foster the international collaboration of researchers in several areas connected to representation theory and algebraic combinatorics, including Lie superalgebras, quantized enveloping algebras, and algebraic combinatorics. The rationale for this activity is recent advancements that indicate new links between the aforementioned areas, and its goal is to investigate open problems that are spawned by these advancements and examine new strategies for solving them. The workshop will also have a substantial pedagogical component in the form of three mini-courses that will cover background and recent exciting progress in its focus areas. These mini-courses will be accessible for non-experts, including graduate students and junior researchers.Recent results hint at a new and promising connection between quantized symmetric spaces and interpolation polynomials. A natural and important problem that lies at the intersection of the aforementioned areas is to define and investigate the properties of q-deformations of Capelli operators in a uniform way. In addition, for (non-quantized) symmetric spaces of Lie superalgebras that are associated to BC-type root systems, an analogous relation between invariant differential operators and interpolation polynomials is yet to be established. We hope that the conference will provide an environment for experts to exchange their ideas for these interdisciplinary problems. The website for the workshop is http://www.fields.utoronto.ca/activities/19-20/symmetric-spaces.This 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.

该奖项将支持美国的参与-基于数学家，特别是研究生和其他早期职业研究人员，在即将举行的国际研讨会和对称空间，其推广和特殊函数会议，这将在渥太华大学举行，从5月14日至2020年5月17日。该研讨会的目标是促进研究人员在与表示论和代数组合学相关的几个领域的国际合作，包括李超代数，量化包络代数和代数组合学。这项活动的理由是最近的进展表明上述领域之间的新联系，其目标是调查这些进展产生的公开问题，并审查解决这些问题的新战略。讲习班还将有一个实质性的教学部分，即三个小型课程，涵盖其重点领域的背景和最近令人兴奋的进展。这些迷你课程将为非专家，包括研究生和初级研究人员访问。最近的结果暗示在量化对称空间和插值多项式之间的一个新的和有前途的连接。一个自然的和重要的问题，位于上述领域的交叉点是定义和调查的性质的q变形的Capelli算子在一个统一的方式。此外，对于与BC型根系相关的李超代数的（非量子化）对称空间，不变微分算子和插值多项式之间的类似关系尚未建立。我们希望这次会议将为专家们提供一个环境，就这些跨学科问题交换意见。该研讨会的网站是http://www.fields.utoronto.ca/activities/19-20/symmetric-spaces.This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。