Speaker:  Aashraya Jha (Boston University)   

Title:  Proof of the new gap principle 2

Abstract:  In this talk, we will prove Proposition 7.1 of [DGH], the so called "New Gap Principle". We will first prove a couple of lemmas (Lemma 6.3 and Lemma 6.4 of [DGH]) using techniques from enumerative geometry which bounds the number of points on a given curve lying in proper subsets of a certain product of varieties . We then use height bounds of points on non degenerate varieties (Theorem 1.6 and Theorem 6.2 of [DGH]) along with lemmas proven to use an inductive argument to prove the New Gap Principle.  

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