NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


  Piotr Krasoń
(Szczecin, Poland)


Linear Relations in Algebraic Groups

ABSTRACT: We will discuss linear dependence of points in the Mordell-Weil groups of abelian varieties via the reduction maps and height function. We will give a numerical criterion for this type of the local to global criterion to hold. We also provide counterexamples which makes us think that this criterion is the best possible.We also phrase classical work in number theory on multiplicative relations on points and congruences, group theoretically as Hasse-principles on commutative linear algebraic groups, or tori, and ask for extensions to general  - not necessarily commutative - reductive linear algebraic groups.


Septmber 15, 2017
10:30 - 11:30
511 Lake Hall


For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky alexmart >at< neu >dot< edu