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SUMMARY:Hassain Maliyekkal (The Institute of Mathematical Sciences\, Chenn
ai\, India)
DTSTART;VALUE=DATE-TIME:20210430T093000Z
DTEND;VALUE=DATE-TIME:20210430T103000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070154Z
UID:ARCSIN/4
DESCRIPTION:Title: R
epresentations of Compact Special Linear Groups of Degree Two\nby Hass
ain Maliyekkal (The Institute of Mathematical Sciences\, Chennai\, India)
as part of ARCSIN - Algebra\, Representations\, Combinatorics and Symmetri
c functions in INdia\n\n\nAbstract\nLet $\\mathcal{O}$ be the ring of inte
gers of a non-Archimedean local field and $\\wp$ be its maximal ideal. In
this talk\, our focus is on the construction of the continuous complex irr
educible representations of the group $\\mathrm{SL}_2(\\mathcal{O})$ and t
o describe their representation growth. We will also discuss some results
about group algebras of $\\mathrm{SL}_2(\\mathcal{O}/{\\wp}^r)$ for large
$r$.\n
LOCATION:https://researchseminars.org/talk/ARCSIN/4/
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