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SUMMARY:Ariel Pacetti (Universidade de Aveiro)
DTSTART:20250604T133000Z
DTEND:20250604T143000Z
DTSTAMP:20260423T010747Z
UID:GPL/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPL/47/">Lan
 glands Program and Applications</a>\nby Ariel Pacetti (Universidade de Ave
 iro) as part of Geometry and Physics @ Lisbon\n\nLecture held in 6.2.33 (S
 eminar Room\, Math\, FCUL).\n\nAbstract\nThe goal of this general audience
  talk is to introduce the L-function attached to a projective variety and 
 state some of its expected properties. A way to prove such properties is t
 o relate the L-function to objects of a more analytic nature (namely autom
 orphic forms). During the talk we will study some baby examples of the cor
 respondence\, and state some recent results (as well as some open problems
 ). At last we will explain how the theory is well suited for the study of 
 solutions to Diophantine equations (we will include a 5 minutes proof of F
 ermat's last theorem).\n
LOCATION:https://researchseminars.org/talk/GPL/47/
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