Department of Mathematics

Student Algebra & Combinatorics

  •  Joshua Ruiter, Michigan State
  •  Field norm for algebraic groups, with a view towards non-split tori
  •  11/11/2019
  •  4:30 PM - 5:30 PM
  •  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.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science