Special Issue "Geometry, Representation Theory and Number Theory: Recent Applications in Physics"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 May 2019).
2. Merton College, University of Oxford, Oxford OX1 4JD, UK
3. Nan Kai University, Tian Jin 300071, China
Interests: mathematical physics; string theory; algebraic geometry; number theory
Special Issues and Collections in MDPI journals
Twenty-first century science is driven by inter-disciplinary collaborations. This is certainly the case for fundamental physics and increasingly the case for pure mathematics. There is an ever-growing number of disciplines in modern mathematics which thrive on the cross-fertilization between various and often unimaginably different fields of study. Modern mathematical physics had been a fruitful dialogue between geometry, field theory and relativity, exemplified by the algebraic geometry of gauge theories and the differential geometry of space-time. This tradition of the geometrization of the nature of space, time and matter goes as far back as Kepler's famous saying “ubi materia, ibi geometria”.
Over the past half-century, this dialogue has been perhaps most prominent and productive in the realm of gauge theories and string theory. As we enter the second decade of the twenty-first century, the inter-disciplinary vision in mathematical physics is becoming ever more important. Here, representations of finite groups and Lie groups, the extraordinary emergence of modular and related Moonshine phenomenon in partition functions, the succinct encoding of physics and geometrical data in terms of representation of quivers and related moduli problems, as well as various readily available data-sets of geometry and representation theory, etc., have all become familiar objects to the theoretical and mathematical physics community.
The purpose of this Special Issue is to present some of the recent results in this cross-disciplinary endeavour between physics, mathematicians and data scientists, and to further encourage this collaboration to explore new grounds of investigation.
Prof. Dr. Yang-Hui He
Manuscript Submission Information
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- algebraic & differential geometry
- gauge theory & string theory
- representation theory
- data-sets in manifolds and varieties