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.