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January 24, 2018 | 2:45 p.m. - 4:00 p.m.
Category: Lecture
Location: Education, College of #169 | Map
5425 Gullen Mall
Detroit, MI 48202
Cost: Free

Speaker:  John Bergdall

Title: p-adic L-functions and arithmetic

Abstract: For many problems in number theory, from Fermat's Last Theorem to the conjecture of Birch and Swinnerton-Dyer (BSD), methods involving algebra and analysis over the p-adic numbers provide important breakthroughs. In this talk I will discuss what are called p-adic L-functions, objects whose very existence remains generally conjectural. The main purpose, though, will be to explain recent constructions, joint with David Hansen, that can be applied in the case of Hilbert modular forms. Our constructions are completely canonical and remove a significant hypothesis from nearly all prior work in this area. By way of explanation, the discussion will first focus on the BSD conjecture over the rational numbers and the special role p-adic L-functions have played there. The talk will be aimed at a general mathematical audience.



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For more information about this event, please contact Department of Mathematics at 3135772479 or