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SUMMARY:Mohit Hulse (MIT)
DTSTART:20251030T203000Z
DTEND:20251030T220000Z
DTSTAMP:20260422T220707Z
UID:STAGE/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/141/">
 Deligne's proof in Weil I (Main lemma)</a>\nby Mohit Hulse (MIT) as part o
 f STAGE\n\nLecture held in Room 2-105 in the MIT Simons Building.\n\nAbstr
 act\nAfter a quick review of $\\ell$-adic local systems and the étale fun
 damental group\, I will state and prove Deligne's "main lemma." \nI will t
 hen derive some consequences to be used in the next few talks\, and if tim
 e permits\, explain a key fact about $\\operatorname{Sp}$-invariants used 
 in the proof.\n\nReferences:<br>\n$\\bullet$ Milne\, <a href = "https://ww
 w.jmilne.org/math/CourseNotes/LEC.pdf"> Lectures on Étale Cohomology</a>\
 , Section 30.<br> \n$\\bullet$ Deligne\, <a href="https://https://link.spr
 inger.com/content/pdf/10.1007%2FBF02684373.pdf"> La Conjecture de Weil. I 
 </a>\, Sections 1-3.<br>\n$\\bullet$ Fulton and Harris\, <a href="https://
 doi.org/10.1007/978-1-4612-0979-9"> Representation Theory </a> Appendix F.
 \n
LOCATION:https://researchseminars.org/talk/STAGE/141/
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