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SUMMARY:Ryan Contreras (Boston College)
DTSTART:20211023T180000Z
DTEND:20211023T182000Z
DTSTAMP:20260423T004916Z
UID:AGNES/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNES/5/">Pl
 ane $\\mathbb{A}^1$-curves on the complement of strange rational curves</a
 >\nby Ryan Contreras (Boston College) as part of Algebraic Geometry NorthE
 astern Series (AGNES)\n\n\nAbstract\nA plane curve is called strange if it
 s tangent line at any smooth point passes through a fixed point\, called t
 he strange point. We study $\\mathbb{A}^1$-curves on the complement of a r
 ational strange curve of degree $p$ in characteristic $p$. We prove the co
 nnectedness of the moduli spaces of $\\mathbb{A}^1$-curves with a given de
 gree\, classify their irreducible components\, and exhibit the inseparable
  $\\mathbb{A}^1$-connectedness of the complement using $\\mathbb{A}^1$-cur
 ves parameterized by each irreducible component. I'm going to explain how 
 the key to these results are the strangeness of all $\\mathbb{A}^1$-curves
 .\n
LOCATION:https://researchseminars.org/talk/AGNES/5/
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