PIRSA:19030117 Scientific Series Mathematical physics

DOI10.48660/19030117

Series: Mathematical Physics

Kim, M. (2019). Principal Bundles in Diophantine Geometry. Perimeter Institute. https://pirsa.org/19030117

Kim, Minhyong. Principal Bundles in Diophantine Geometry. Perimeter Institute, Mar. 18, 2019, https://pirsa.org/19030117 

@misc{ pirsa_PIRSA:19030117,
  doi = {10.48660/19030117},
  url = {https://pirsa.org/19030117},
  author = {Kim, Minhyong},
  keywords = {Mathematical physics},
  language = {en},
  title = {Principal Bundles in Diophantine Geometry},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {mar},
  note = {PIRSA:19030117 see, \url{https://pirsa.org}}
}

Abstract

Principal bundles and their moduli have been important in various aspects of physics and geometry for many decades. It is perhaps not so well-known that a substantial portion of the original motivation for studying them came from number theory, namely the study of Diophantine equations. I will describe a bit of this history and some recent developments.

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