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SUMMARY:Katherine Stange (University of Colorado Boulder)
DTSTART:20251021T190000Z
DTEND:20251021T200000Z
DTSTAMP:20260419T151822Z
UID:BC-MIT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/23/">
 The arithmetic of thin orbits</a>\nby Katherine Stange (University of Colo
 rado Boulder) as part of BC-MIT number theory seminar\n\nLecture held in M
 aloney 560 at Boston College.\n\nAbstract\nWe consider the local-to-global
  question for orbits of thin groups/semigroups.  We will discuss Apollonia
 n circle packings\, continued fractions\, and some related problems.  In t
 he Apollonian case\, we ask about the integers which occur as curvatures i
 n a packing.  We observe that they satisfy certain congruence restrictions
 \, and ask whether all sufficiently large integers otherwise occur.  In th
 e case of continued fractions\, we consider variants of Zaremba's conjectu
 re on the rationals with bounded continued fractions.  Joint work includes
  work with Haag\, Kertzer\, and Rickards.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/23/
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