Principal Bundles in Diophantine Geometry

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2019},
            month = {mar},
            note = {PIRSA:19030117 see, \url{https://scivideos.org/pirsa/19030117}}
          }
          

Minhyong Kim University of Oxford

Source Repository PIRSA

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.