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SUMMARY:Mohit Hulse
DTSTART:20260507T210000Z
DTEND:20260507T223000Z
DTSTAMP:20260602T211011Z
UID:STAGE/159
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/159/">
 Finite descent obstruction on curves and modularity</a>\nby Mohit Hulse as
  part of STAGE\n\nLecture held in Room 2-139 in the MIT Simons Building.\n
 \nAbstract\nWe review some facts about modular curves and Galois represent
 ations. Then\, following Helm and Voloch\, we show that the only obstructi
 on to the existence of integral points on (integral models of twists of) m
 odular curves is that of finite étale descent. This is proved using an ex
 istence theorem for elliptic curves over $\\mathbb{Q}$ with some prescribe
 d local Galois data.\n\nReference: Helm\, Voloch\, <a href="https://web.ma
 .utexas.edu/users/voloch/Preprints/modularity.pdf">Finite descent obstruct
 ion on curves and modularity</a>.\n
LOCATION:https://researchseminars.org/talk/STAGE/159/
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