Japan Long Term Visit: "Tau-Functions for Dirac Operators"

日本长期访问：“狄拉克算子的 Tau 函数”

• 批准号: 9106953
• 负责人: Craig Tracy
• 金额: $ 1.05万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-11-01 至 1992-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9106953&HistoricalAwards=false
• 关键词: Japan; Long; Term; Visit; Tau

This award will support two months of a six-month, long-term visit by Professor Craig A. Tracy and his graduate student Mr. Morris Beatty of the Department of Mathematics at the University of California, Davis, to Japan for a cooperative research project with Professor T. Miwa, Research Institute for Mathematical Sciences (RIMS) at Kyoto University. Their collaborative research will involve continued investigation into isomonodromic t-functions that arise from a holonomic quantum field theory of free fermions on manifolds. This will be important in understanding and clarifying the nature of phases for a quantum field theory in hyperbolic space; and it should permit a transparent discussion of the zero curvature limit. Results of the research should have implications for holonomic quantum fields, integrable systems and differential geometry. The research is of fundamental importance with respect to isomonodromy problems in mathematical physics. Both groups are well-respected experts in their field. RIMS is the ideal Institute for the researchers to carry out their research. At Kyoto they will be working with the inventors of the notion of a t-function; Professors Mikio Sato, Tetsuji Miwa and Michio Jimbo. They are all known for their innovative approach to holonomic quantum fields and associated isomonodromic transformations. In addition, there are many experts in Riemann surface theory at the Institute. It is expected that, following the expiration of this award, collaborations between the researchers are likely to continue.

该奖项将支持克雷格·A·特雷西（Craig A. 他们的协作研究将涉及对同性粒细胞t功能的持续调查，这些函数是由自由式费米对流形的自由量子场理论产生的。 这对于理解和阐明双曲线空间中量子场理论的阶段性质很重要。 并且应该允许对零曲率极限进行透明讨论。 研究结果应对自动量子场，可集成系统和差异几何形状有影响。 这项研究对于数学物理学中的异构解释问题至关重要。 这两个小组都是该领域备受尊重的专家。 RIMS是研究人员进行研究的理想研究所。 在京都，他们将与T功能概念的发明者合作； Mikio Sato教授，Tetsuji Miwa和Michio Jimbo。 它们都以创新的载体量子场和相关的等异源转换而闻名。 此外，该研究所的Riemann表面理论有许多专家。 预计，在该奖项到期后，研究人员之间的合作可能会继续。