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SUMMARY:Intertwining operators and geometry
DTSTART:20250120T080000Z
DTEND:20250124T170000Z
DTSTAMP:20240908T233900Z
UID:indico-event-10856@indico.math.cnrs.fr
DESCRIPTION:Representation Theory and Noncommutative Geometry\nWorkshop: I
ntertwining operators and geometry\nJanuary 20 to 24\, 2025 - IHP\, Paris\
nSummary\nIntertwining operators are ubiquitous in representation theory.
Their construction typically requires a considerable amount of analysis\,
and they often assume an interesting form. For instance\, they are frequen
tly pseudodifferential operators associated with pseudodifferential calcul
i of intense current study in noncommutative geometry. Conversely\, in all
multiplicity-one decompositions of representations (e.g. the theta corres
pondence)\, the essentially unique intertwining operator\, or its symbol\,
should encode important information on the representation-theoretic decom
position. \nHowever\, those operators have received little attention from
within operator algebra theory. This meeting will be the occasion to pres
ent classical and recent aspects of the theory of intertwining operators a
nd explore the connections between operator algebras and representation th
eory. \nTopics of special interest will include: \n\nSymmetry breaking o
perators: special families of intertwining operators between representatio
ns of a group and a subgroup. These operators\, for Lie groups and algebra
ic groups over local fields\, are the subject of intense study in various
settings via analytic\, algebraic and geometric methods.\nConcrete study o
f the intertwining operators appearing in the theta-correspondence over lo
cal fields\, including interpretations coming from operator algebras and n
oncommutative geometry. \nApplications of intertwining operators in equiv
ariant index theory and noncommutative geometry\, such as K-theoretic cons
tructions based on the BGG complex.\n\n \nList of speakers:\n\nCorina Cio
botaru\nPierre Clare\nPierre Julg \nMasatoshi Kitagawa\nToshiyuki Kobayas
hi\nGang Liu\nHung Yean Loke\nBent Orsted\nBram Mesland\nMichael Pevzner\n
Tomasz Przebinda\nBirgit Speh\nHang Wang\nTemmo Aoyama \n\nChristian Aren
ds\n\n\nJanet Flikkema\n\nRobin van Haastrecht\nTatsuro Hikawa\nQuentin La
briet\n\nGuendalina Palmirota\n\n\nOrganising Committee:\n\nJan Frahm\nAng
ela Pasquale\n\n \nScientific Committee:\n\nMonica Nevins\nMichael Pevzne
r\nBirgit Speh\nRobert Yuncken\n\n \nContributed talks:\nWe are opening p
roposals for a few short talks during the workshop. These talks will be ai
med at early-career researchers and will last 30 to 40 minutes. We invite
interested colleagues to fill out this form: \nShort talk application for
m\n \n\nhttps://indico.math.cnrs.fr/event/10856/
IMAGE;VALUE=URI:https://indico.math.cnrs.fr/event/10856/logo-2252305829.pn
g
LOCATION:Amphithéâtre Hermite (Institut Henri Poincaré)
URL:https://indico.math.cnrs.fr/event/10856/
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