Title: Field norm for algebraic groups, with a view towards non-split tori

Date: 11/11/2019

Time: 4:30 PM - 5:30 PM

Place: C304 Wells Hall

Field norm maps are useful in many areas of algebra, such as Galois theory. Using the language of (affine) algebraic groups, I will place the field norm in a larger context, as a particular instance of a certain natural transformation. This will set us up for my talk the following week, on special subgroups of algebraic groups called tori, and what it means for such tori to be split or non-split. In particular, the generalized norm will provide a (somewhat) concrete example of a non-split torus.