Geometric class field theory and Cartier duality
APA
Campbell, J. (2020). Geometric class field theory and Cartier duality. Perimeter Institute. https://pirsa.org/20060042
MLA
Campbell, Justin. Geometric class field theory and Cartier duality. Perimeter Institute, Jun. 24, 2020, https://pirsa.org/20060042
BibTex
@misc{ pirsa_PIRSA:20060042, doi = {10.48660/20060042}, url = {https://pirsa.org/20060042}, author = {Campbell, Justin}, keywords = {Mathematical physics}, language = {en}, title = {Geometric class field theory and Cartier duality}, publisher = {Perimeter Institute}, year = {2020}, month = {jun}, note = {PIRSA:20060042 see, \url{https://pirsa.org}} }
California Institute of Technology
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Abstract
I will explain a generalized Albanese property for smooth curves, which implies Deligne's geometric class field theory with arbitrary ramification. The proof essentially reduces to some well-known Cartier duality statements. This is joint work with Andreas Hayash.