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SUMMARY:Lue Pan (Princeton University)
DTSTART:20220830T013000Z
DTEND:20220830T030000Z
DTSTAMP:20260423T024729Z
UID:POINTS/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/39/">
 Regular de Rham Galois representations in the completed cohomology of modu
 lar curves</a>\nby Lue Pan (Princeton University) as part of POINTS - Peki
 ng Online International Number Theory Seminar\n\nLecture held in 77201\, B
 ICMR.\n\nAbstract\nLet $p$ be a prime. I want to explain how to use the ge
 ometry of modular curves at infinite level and Hodge-Tate period map to st
 udy $p$-adic regular de Rham Galois representations appearing in the $p$-a
 dically completed cohomology of modular curves. We will show that these Ga
 lois representations up to twists come from modular forms and give a geome
 tric description of the locally analytic representations of $\\mathrm{GL}_
 2(\\mathbb{Q}_p)$ associated to them. These results were previously known 
 by totally different methods.\n\nZoom ID = 953 6788 4415\n\nZoom password 
 = 373352\n
LOCATION:https://researchseminars.org/talk/POINTS/39/
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