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SUMMARY:Chengyang Wu (Peking University)
DTSTART:20251014T164500Z
DTEND:20251014T174500Z
DTSTAMP:20260423T021859Z
UID:NEDNT/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/92/">S
 imultaneously bounded and dense orbits for commuting Cartan actions</a>\nb
 y Chengyang Wu (Peking University) as part of New England Dynamics and Num
 ber Theory Seminar\n\nLecture held in Online.\n\nAbstract\nWith the goal t
 o attack Uniform Littlewood’s Conjecture proposed in [BFK25]\, we introd
 uced the concept of “fiberwise nondivergence” for the action of a cone
  inside the full diagonal subgroup of SL_3(R). Then it is proved in our pa
 per that there exists a dense subset of SL_3(R)/SL_3(Z) in which each poin
 t has a fiberwise non-divergent orbit under a cone inside the full diagona
 l subgroup and an unbounded orbit under every diagonal flow. Our proof als
 o presented the first instance of results concerning simultaneously bounde
 d and dense orbits for commuting actions on noncompact spaces. This is a j
 oint work with Dmitry Kleinbock.\n
LOCATION:https://researchseminars.org/talk/NEDNT/92/
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