PIRSA:19030117

Principal Bundles in Diophantine Geometry

APA

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

MLA

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

BibTex

          @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}}
          }
          

Minhyong Kim University of Oxford

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.