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BEGIN:VEVENT
DTSTAMP:20220328T140519Z
DTSTART:20220329T120000Z
DTEND:20220329T130000Z
SUMMARY:Manchester Algebra Seminar - Adam Brown
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}i1dc-l0hvm3
8i-swmkqk
DESCRIPTION:Speaker: Adam Brown - UST\n\nTitle: The local Langlands corre
spondence and unitary representations of GL(n)\n\nAbstract: Harish-Chand
ra's Lefschetz principle suggests that representations of real and p-adi
c split reductive groups are closely\nrelated\, even though the methods
used to study these groups are quite different. The local Langlands corr
espondence (as formulated by Vogan) indicates that these representation
theoretic relationships stem from geometric relationships between real a
nd p-adic\nLanglands parameters. In this talk we will discuss how the ge
ometric structure of real and p-adic Langlands parameters lead to functo
rial relationships between representations of real and p-adic groups. I
will describe work in progress which applies this functoriality\nto the
study of unitary representations and signatures of invariant hermitian f
orms for GL(n). The result expresses signatures of invariant hermitian f
orms on graded affine Hecke algebra modules in terms of signature charac
ters of Harish-Chandra modules\, which\nare computable via the unitary a
lgorithm for real reductive groups by Adams-van Leeuwen-Trapa-Vogan.\n\n
\n\nPlace: Frank Adams (and to be streamed online*)\n\n*subject to equip
ment and connection\n\nTea and biscuits 12:45 in the foyer
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams\, Alan Turing Building\, Manchester
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