PIRSA:20060042

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_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}}
          }
          

Justin Campbell California Institute of Technology

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.