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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.

R. Parimala, Emory University, Mathematics Colloquium.