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SUMMARY:Xu Gao (UC Santa Cruz)
DTSTART:20230131T210000Z
DTEND:20230131T220000Z
DTSTAMP:20260423T010236Z
UID:UAANTS/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/56/">
 p-adic representations and simplicial balls in Bruhat-Tits buildings</a>\n
 by Xu Gao (UC Santa Cruz) as part of University of Arizona Algebra and Num
 ber Theory Seminar\n\n\nAbstract\np-adic representations are important obj
 ects in number theory\, and stable lattices serve as a connection between 
 the study of ordinary and modular representations. These stable lattices c
 an be understood as stable vertices in Bruhat-Tits buildings. From this vi
 ewpoint\, the study of fixed point sets in these buildings can aid researc
 h on p-adic representations. The simplicial balls\, in particular\, hold a
 n important role as they possess the most symmetry and fastest growth\, an
 d are closely related to the Moy-Prasad filtrations. In this talk\, I'll e
 xplain those new findings\, provide a characterization of such simplicial 
 balls\, and compute their simplicial volume under certain conditions.\n
LOCATION:https://researchseminars.org/talk/UAANTS/56/
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