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SUMMARY:Niven Achenjang (MIT)
DTSTART:20220413T140000Z
DTEND:20220413T153000Z
DTSTAMP:20260422T172132Z
UID:STAGE/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/54/">P
 roof of the new gap principle 1</a>\nby Niven Achenjang (MIT) as part of S
 TAGE\n\nLecture held in Room 2-449 in the MIT Simons Building.\n\nAbstract
 \nOver the next two talks to prove Proposition 7.1 of [DGH] which\, roughl
 y-speaking\, bounds the number of points on a curve within a fixed distanc
 e of a given point. In this talk we prepare for the proof of this proposit
 ion by proving a series of lemmas from section 6 of [DGH]. Specifically\, 
 after stating Proposition 7.1 of [DGH]\, we will prove Theorem 6.2 (which 
 shows non-degeneracy of a certain subvariety of the universal abelian vari
 ety) followed by Lemmas 6.3 and 6.1 (which will be used to obtain the boun
 d in Proposition 7.1).\n
LOCATION:https://researchseminars.org/talk/STAGE/54/
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