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SUMMARY:Hao Xing (Ohio State University)
DTSTART:20231019T161500Z
DTEND:20231019T173000Z
DTSTAMP:20260423T022037Z
UID:NEDNT/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/62/">E
 quidistribution problem in the space of Euclidean sublattices</a>\nby Hao 
 Xing (Ohio State University) as part of New England Dynamics and Number Th
 eory Seminar\n\nLecture held in Online.\n\nAbstract\nConsider the space of
  covolume-one sublattices of a fixed rank m in the Euclidean space ℝd. H
 ow do the orbits behave under the action of the lattice subgroups of SL(d\
 ,ℝ)  (e.g. SL(d\,ℤ))?  In a recent joint work with Michael Bersudsky\,
  we established an equidistribution phenomenon of such orbits when d=m+1. 
  However\, there are many more unsolved problems along this direction whic
 h might be of interest not only to homogeneous dynamicists\, but also to n
 umber theorists and analysts as well. In this talk\, I will explain the pr
 oblem\, our result\, an overview of methods and further directions of rese
 arch in a user-friendly way.\n
LOCATION:https://researchseminars.org/talk/NEDNT/62/
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