BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jen Berg (Bucknell University)
DTSTART:20261110T210000Z
DTEND:20261110T220000Z
DTSTAMP:20261115T002554Z
UID:FCNTS/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/44/">D
 ensity of algebraic points on products of curves</a>\nby Jen Berg (Bucknel
 l University) as part of Five College Number Theory Seminar\n\nLecture hel
 d in Seeley Mudd 205 @Amherst College.\n\nAbstract\nA general philosophy i
 n arithmetic geometry is that ``geometry governs arithmetic." In the setti
 ng of algebraic curves over a number field k\, a geometric invariant\, the
  genus\, controls the arithmetic property of an infinitude of $k$-rational
  points. Instead of considering only $k$-rational points\, however\, one c
 an study closed points (Galois orbits of geometric points) which contain a
 ll the essential information about the curve over $k$. The density degree 
 set of a nice variety $X$ over $k$ is the set of all positive integers $d$
  such that the set of degree $d$ points on $X$ is Zariski dense. For nice 
 curves over $k$\, the structure of the density degree set is known to refl
 ect the geometry of the curve. Far less is known in the case of surfaces. 
 In this talk\, I'll discuss recent work on the study of Zariski density of
  algebraic points on surfaces in a case that builds upon our understanding
  for curves. Our primary focus is the product of two nice curves over $k$.
  This is joint work with Fu\, Gazaki\, Porzio\, Rawson\, and Vogt.\n
LOCATION:https://researchseminars.org/talk/FCNTS/44/
END:VEVENT
END:VCALENDAR