Fri, May 17, 2019
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4:00pm [4:00pm] R. Parimala, Emory University, Mathematics Colloquium.
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.
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