Abelian Varieties Multi-Site Seminar Series: Ha Tran

  • Date: 09/22/2016
Ha Tran, University of Calgary

University of Calgary


The Arakelov Class Group [video]


Let F be a number field. The Arakelov class group Pic_0 F of F is an analog to the Picard group of a curve. This group provides us the information of F such as the class number h_F, the class group Cl(F) and the regulator R_F. In this talk, we will first introduce Pic_0 F then show that how this group gives us the information of F. Next, we will discuss a tool to compute this group-reduced Arakelov divisors- and their properties. Finally, some open problems relating to this topic will be presented.

Other Information: 

A video of this event is available on mathtube.org.



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