Mathematics Colloquium.
Speaker: R. Parimala.
Affiliation: Emory University.
Date and Time: Friday 17 May, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Norm equations and local-global principles.
Abstract: Let L be a cyclic extension of a number field K. Hasse’s theorem
says that
an element of K is a norm from L if it is a norm locally at all
completions of K.
Examples of failure of similar local global principle if L is not cyclic
were also
known. We survey recent results on obstructions to local global principle
for norm
equations over number fields.
5:00pm
6:00pm
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Mathematics Colloquium.
Speaker: R. Parimala.
Affiliation: Emory University.
Date and Time: Friday 17 May, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Norm equations and local-global principles.
Abstract: Let L be a cyclic extension of a number field K. Hasse’s theorem
says that
an element of K is a norm from L if it is a norm locally at all
completions of K.
Examples of failure of similar local global principle if L is not cyclic
were also
known. We survey recent results on obstructions to local global principle
for norm
equations over number fields.