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From quadratic reciprocity to arithmetic duality theorems

Date: Thursday, May 14, 2020 13:30 - 15:30
Speaker: David Harari (Université Paris-Saclay)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tim Browning

Abstract:

The law of quadratic reciprocity is a classical and useful tool in number theory. In this talk, I will start by recalling a simple proof of this statement. Then I will explain its link to global class field theory and the applications to the existence of rational points on algebraic varieties. Finally, I will discuss more advanced extensions like Poitou-Tate duality theorem and its generalizations.
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