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BEGIN:VEVENT
SUMMARY:Joseph Bernstein (Tel Aviv University)
DTSTART:20211115T160000Z
DTEND:20211115T170000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/1
DESCRIPTION:by Joseph Bernstein (Tel Aviv University) as part of BIRS work
shop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Patrick Delorme (Institut de Mathématiques de Marseille)
DTSTART:20211115T170000Z
DTEND:20211115T180000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/2
DESCRIPTION:Title: A Plancherel formula of spherical varieties for split real reductive
groups\nby Patrick Delorme (Institut de Mathématiques de Marseille) a
s part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Beyond
Endoscopy\n\n\nAbstract\nWe establish the analog for real spherical variet
ies of the Scattering Theorem of Sakellaridis and Venkatesh for p-adic wav
efront spherical varieties. We use properties of the Harish-Chandra homomo
rphism of Knop for invariant differential operators of the variety\, speci
al coverings of the variety and spectral projections. We have to make an a
nalog of the Discrete Series Conjecture of Sakellaridis and Venkatesh.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Sarnak (Princeton University)
DTSTART:20211115T180000Z
DTEND:20211115T190000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/3
DESCRIPTION:Title: The algebraic and transcendental parts of the spectra of arithmetic m
anifolds\nby Peter Sarnak (Princeton University) as part of BIRS works
hop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstr
act\nMost of the spectrum of locally homogeneous arithmetic manifolds is p
resumably transcendental. We discuss what is expected\, what can be proven
\, and the role of these transcendental objects in the theory of automorph
ic forms.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spencer Leslie (Duke University)
DTSTART:20211115T210000Z
DTEND:20211115T220000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/4
DESCRIPTION:Title: Endoscopy and stabilization for symmetric varieties\nby Spencer L
eslie (Duke University) as part of BIRS workshop: Basic Functions\, Orbita
l Integrals\, and Beyond Endoscopy\n\n\nAbstract\nRelative trace formulas
are central tools in the study of relative functoriality. In many cases of
interest\, basic stability problems have not been addressed. In this talk
\, I will discuss a theory of endoscopy in the context of symmetric variet
ies with the global goal of stabilizing the associated relative trace form
ula. I outline how\, using the dual group of the symmetric variety\, one c
an give a good notion of endoscopic symmetric variety and conjecture a mat
ching of relative orbital integrals in order to stabilize the relative tra
ce formula. In the case of unitary Friedberg-Jacquet periods\, I explain m
y proof stabilizing the elliptic terms of the relative trace formula.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhilin Luo (University of Chicago)
DTSTART:20211115T220000Z
DTEND:20211115T230000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/5
DESCRIPTION:Title: Harmonic analysis and gamma functions\nby Zhilin Luo (University
of Chicago) as part of BIRS workshop: Basic Functions\, Orbital Integrals\
, and Beyond Endoscopy\n\n\nAbstract\nI am going to introduce several new
types of harmonic analysis on reductive groups arising from the proposal o
f Braverman and Kazhdan. This is based on my joint work with D. Jiang and
L. Zhang\, D. Jiang\, and B. C. Ngô.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dipendra Prasad (Indian Institute of Technology\, Bombay)
DTSTART:20211116T160000Z
DTEND:20211116T170000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/6
DESCRIPTION:Title: Relations between cusp forms sharing Hecke eigenvalues\nby Dipend
ra Prasad (Indian Institute of Technology\, Bombay) as part of BIRS worksh
op: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstra
ct\nWe will discuss a variant of the multiplicity one theorem for automorp
hic forms on GL(n)\, and consider the question of whether the set of Heck
e eigenvalues of a cusp form on GL(n) is contained in the set of Hecke ei
genvalues of a cusp form on GL(m) for n≤m\, and try to understand the qu
estion in some cases. We will also discuss an analogous question about gro
up representations which seems not to have been considered before\, and se
ems to be of independent interest. Joint work with R. Raghunathan.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Loren Spice (Texas Christian University)
DTSTART:20211116T170000Z
DTEND:20211116T180000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/7
DESCRIPTION:Title: Explicit character formulæ for tame supercuspidals via asymptotic ex
pansions\nby Loren Spice (Texas Christian University) as part of BIRS
workshop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\n
Abstract\nKim and Murnaghan developed a theory of asymptotic expansions of
characters\, which describe their behaviour near the identity in terms of
Fourier transforms of semisimple orbital integrals. In 2016\, I showed t
hat\, like Harish-Chandra's local character expansion\, these asymptotic e
xpansions could be centred everywhere\, thus effectively providing an indu
ctive formula for characters of tame supercuspidal representations of p-ad
ic groups G in terms of the analogous representations of tame\, twisted Le
vi subgroups G'. However\, unrolling the induction presented technical di
fficulties. In this talk\, I will describe how those difficulties were ov
ercome by a refined understanding of the Fourier transforms appearing in t
he asymptotic expansions. This work provides a pleasant simultaneous just
ification of the local character expansion\, Kim–Murnaghan asymptotic ex
pansions\, the Shalika germ expansion\, and an asymptotic result of Waldsp
urger on Fourier transforms of semisimple orbital integrals.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jayce Getz (Duke University)
DTSTART:20211116T180000Z
DTEND:20211116T190000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/8
DESCRIPTION:Title: Beyond endoscopy and boundary terms in reductive monoids with a view
towards nonabelian trace formulae\nby Jayce Getz (Duke University) as
part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Beyond En
doscopy\n\n\nAbstract\nThe beyond endoscopy proposal hinges on obtaining g
eometric expressions for residues of L-functions using trace formulae. We
explain how this can be accomplished for the Rankin-Selberg L-function of
a pair cuspidal automorphic representations of $GL_2$. In contrast to pr
evious methods\, I work with the whole reductive monoid as opposed taking
traces\, thus the output is a sum over a ``boundary term'' for a reductive
monoid. This makes explicit the connection between ideas of Braverman-Ka
zhdan-L. Lafforgue-Ngo-Sakellaridis and the beyond endoscopy proposal.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Freydoon Shahidi (Purdue University)
DTSTART:20211116T210000Z
DTEND:20211116T220000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/9
DESCRIPTION:Title: On Braverman-Kazhdan/Ngo Program\nby Freydoon Shahidi (Purdue Uni
versity) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, a
nd Beyond Endoscopy\n\n\nAbstract\nThis is a semi-expository talk. After a
quick review of Godement-Jacquet's generalization of Tate's thesis to GL(
n) and the starting point of Braverman-Kazhdan/Ngo program\, I will discus
s Renner's construction of reductive monoids attached to representations o
f the L-group and conclude with the construction for the cases of symmetri
c powers of GL(2). Next\, I discuss corresponding Schwartz spaces and Four
ier transforms\, selecting a natural subspace of the conjectured Schwartz
space whose functions are uniformly smooth which I will prove to contain t
he basic function. This space seems to be adequate in proving some of the
basic results in the program. These results are joint work with my student
William Sokurski.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clifton Cunningham (Purdue University)
DTSTART:20211116T220000Z
DTEND:20211116T230000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/10
DESCRIPTION:Title: Generic ABV-packets for p-adic groups\nby Clifton Cunningham (Pu
rdue University) as part of BIRS workshop: Basic Functions\, Orbital Integ
rals\, and Beyond Endoscopy\n\n\nAbstract\nIn this talk we propose an adap
tation of Shahidi's enhanced genericity conjecture to ABV-packets: for eve
ry Langlands parameter for a p-adic group\, the associated ABV-packet cont
ains a generic representation if and only if the orbit of the parameter in
the moduli space is open. We relate this genericity conjecture for ABV-pa
ckets to other standard conjectures and verify its validity in some specia
l cases. Joint work with Andrew Fiori\, Ahmed Moussaoui and Qing Zhang.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Henri Chaudouard (Jussieu)
DTSTART:20211117T160000Z
DTEND:20211117T170000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/11
DESCRIPTION:Title: Regularized period of Eisenstein series for unitary groups\nby P
ierre-Henri Chaudouard (Jussieu) as part of BIRS workshop: Basic Functions
\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nThe Gan-Gross-P
rasad (GGP) conjecture relates the non-vanishing of some periods of cuspid
al automorphic forms to that of the central value of some related L-functi
ons. In the talk\, we will focus on the case of the (regularized) period
of some Eisenstein series in the case of the diagonal subgroup U(n) of U(n
)xU(n+1). We will discuss an extension of the usual GGP conjecture in thi
s situation and an application to the Bessel periods of unitary groups. (B
ased on an ongoing work with Raphaël Beuzart-Plessis).\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bao Chau Ngo (University of Chicago)
DTSTART:20211117T170000Z
DTEND:20211117T180000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/12
DESCRIPTION:Title: A formula for the kernel of the rho-Fourier transform\nby Bao Ch
au Ngo (University of Chicago) as part of BIRS workshop: Basic Functions\,
Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nIn the program to
generalize Tate-Godement-Jacquet approach of establishing directly the fu
nctional equation of general \nautomorphic L-function $L(s\,\\pi\,\\rho)$\
, a main ingredient would be a formula for the $\\rho$-Fourier transform w
here rho is a finite-dimensional \nrepresentation of the Langlands dual gr
oup of $G$. Such a formula is well understood in the case of tori. By redu
ction to maximal tori\nwe get a stably invariant function depending on $\\
rho$ from which we hope to produce the correct kernel by means of a transf
orm which is independent of \n$\\rho$. Such a transform has been proposed
by L. Lafforgue in the case $GL(2)$. We propose a transform for $GL(n)$ us
ing some intricate invariant theory. \nThis is a joint work with Z. Luo.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Arthur (University of Toronto)
DTSTART:20211117T180000Z
DTEND:20211117T190000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/13
DESCRIPTION:Title: Orbital L-functions for GL(3)\nby James Arthur (University of To
ronto) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and
Beyond Endoscopy\n\n\nAbstract\nOrbital L-functions are geometric analogu
es of automorphic L-functions. For GL(n)\, they should be attached to the
regular elliptic terms on the geometric side of the trace formula\, as opp
osed to the cuspical automorphic terms on the spectral side. They were int
roduced for GL(2) by Zagier in 1976\, and played an important role in the
Poisson summation formula of Ali Altug for GL(2) that allowed him to isola
te the nontempered one-dimensional representations. They are also closely
related to the zeta functions defined for GL(n) by Z. Yun.\n\nWe shall int
roduce orbital L-functions for GL(3)\, in a form suitable for application.
It turns out that they have surprisingly simple formulas\, which speciali
ze to even simpler formulas for the elliptic orbital integrals. If time pe
rmits\, we shall add some remarks on their possible analogues for higher r
ank\, and their future role in Beyond Endoscopy.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jessica Fintzen (University of Cambridge and Duke University)
DTSTART:20211117T210000Z
DTEND:20211117T220000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/14
DESCRIPTION:by Jessica Fintzen (University of Cambridge and Duke Universit
y) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Bey
ond Endoscopy\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bin Xu (Tsinghua University)
DTSTART:20211118T000000Z
DTEND:20211118T010000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/15
DESCRIPTION:Title: Arthur's conjectures for symplectic and orthogonal similitude groups
\nby Bin Xu (Tsinghua University) as part of BIRS workshop: Basic Func
tions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nAbstract:
Arthur (1989) conjectured that the discrete spectrum of automorphic repres
entations of a connected reductive group over a number field can be decomp
osed into A-packets\, in terms of which he also conjectured a multiplicity
formula. In this talk I will give an introduction to these conjectures an
d report on the progress for symplectic and orthogonal similitude groups b
ased on the works of Arthur and Moeglin for classical groups.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raphaël Beuzart-Plessis (CNRS\, Université d'Aix-Marseille)
DTSTART:20211118T160000Z
DTEND:20211118T170000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/16
DESCRIPTION:Title: Multipliers and isolation of the cuspidal spectrum by convolution op
erators\nby Raphaël Beuzart-Plessis (CNRS\, Université d'Aix-Marseil
le) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Be
yond Endoscopy\n\n\nAbstract\nIn this talk\, I will explain how to constru
ct convolution operators that isolate certain cuspidal representations fr
om the rest of the automorphic spectrum. For this\, we combine the action
of spherical Hecke algebras at unramified places with that of an algebra o
f "multipliers" at Archimedean places. In particular\, it is crucial that
the multiplier algebra we use be sufficiently large. Time permitting\, I m
ight also explain an application of this construction to the global Gan-Gr
oss-Prasad conjecture for unitary groups.\n\nThis is based on joint work w
ith Yifeng Liu\, Wei Zhang and Xinwen Zhu.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Gourevitch (Weizmann Institute of Science)
DTSTART:20211118T170000Z
DTEND:20211118T180000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/17
DESCRIPTION:Title: Finite multiplicities beyond spherical pairs\nby Dmitry Gourevit
ch (Weizmann Institute of Science) as part of BIRS workshop: Basic Functio
ns\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nLet G be a re
al reductive algebraic group\, and let H be an algebraic subgroup of G. It
is known that the action of G on the space of functions on G/H is "tame"
if this space is spherical. In particular\, the multiplicities of the spa
ce of Schwartz functions on G/H are finite in this case. I will talk about
a recent joint work with A. Aizenbud in which we formulate and analyze a
generalization of sphericity that implies finite multiplicities in the Sch
wartz space of G/H for small enough irreducible smooth representations of
G.\n\nIn more detail\, for every G-space X\, and every closed G-invariant
subset S of the nilpotent cone of the Lie algebra of G\, we define when X
is S-spherical\, by means of a geometric condition involving dimensions of
fibers of the moment map. We then show that if X is S-spherical\, then ev
ery representation with annihilator variety lying in S has (at most) finit
e multiplicities in the Schwartz space of X. We give applications of our r
esults to branching problems.\n\nOur main tool in bounding the multiplicit
y is the theory of holonomic D-modules. After formulating our main results
\, I will briefly recall the necessary aspects of this theory and sketch o
ur proofs.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wei Zhang (MIT)
DTSTART:20211118T180000Z
DTEND:20211118T190000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/18
DESCRIPTION:Title: p-adic limit of (relative) orbital integrals\nby Wei Zhang (MIT)
as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Beyon
d Endoscopy\n\n\nAbstract\nWhile studying p-adic L-function and p-adic hei
ght of arithmetic diagonal cycles\, it is natural to study the p-adic limi
t of certain relative trace formulas (for a suitable family of test funct
ions). This motivates us to study the p-adic limit of (relative) orbital i
ntegrals. I'll describe some results and unsolved problems. This is a join
t work with Daniel Disegni.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Goresky (Institute for Advanced Study)
DTSTART:20211118T210000Z
DTEND:20211118T220000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/19
DESCRIPTION:Title: Ordinary points mod p of hyperbolic 3-manifolds\nby Mark Goresky
(Institute for Advanced Study) as part of BIRS workshop: Basic Functions\
, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nI am reporting o
n joint work with Yung-sheng Tai.\n\nEach locally symmetric space $X$ for
the group $SL(2\, \\mathbb{C})$ is a hyperbolic 3-dimensional manifold tha
t parametrizes principally polarized complex abelian surfaces with appropr
iate level structure and anti-holomorphic multiplication\, meaning: an ac
tion by the integers in a quadratic imaginary number field such that imagi
nary elements act anti-holomorphically. What happens when these abelian v
arieties are reduced modulo p? I do not know the answer in general\, but
for ordinary (principally polarized) abelian varieties it is possible to m
ake sense of anti-holomorphic multiplication. One might say that isomorphi
sm classes of such objects represent ``ordinary points'' of ``$X$ mod $p$'
' despite the fact that ``$X$ mod $p$'' does not exist as a scheme or stac
k\, and it suggests that perhaps in some larger world it may be possible t
o make sense of this object.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chen Wan (RuUtgers University-Newark)
DTSTART:20211118T220000Z
DTEND:20211118T230000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/20
DESCRIPTION:Title: A multiplicity formula of K-types\nby Chen Wan (RuUtgers Univers
ity-Newark) as part of BIRS workshop: Basic Functions\, Orbital Integrals\
, and Beyond Endoscopy\n\n\nAbstract\nIn this talk\, by using the trace fo
rmula method\, I will prove a multiplicity formula of K-types for all repr
esentations of real reductive groups in terms of the Harish-Chandra charac
ter.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Opdam (University of Amsterdam)
DTSTART:20211119T160000Z
DTEND:20211119T170000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/21
DESCRIPTION:Title: Residue distributions and spherical Eisenstein series\nby Eric O
pdam (University of Amsterdam) as part of BIRS workshop: Basic Functions\,
Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nLet $G$ be a conn
ected reductive group which is split over a number field $F$. On a subspac
e generated by wave packets of appropriately normalized Eisenstein series\
, the spectral decomposition of the space of spherical automorphic forms o
f $G$ supported by the trivial character of a maximal torus can be made co
mpletely explicit\, using the theory of residue distributions. The remaini
ng challenge is to prove that this subspace is in fact everything. To addr
ess this problem we follow a method which is inspired by Moeglin's contour
shift considerations in the classical case. We present a progress report
of joint work with Marcelo De Martino and Volker Heiermann.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Mezo (Carleton University)
DTSTART:20211119T170000Z
DTEND:20211119T180000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/22
DESCRIPTION:Title: Equivalent definitions of Arthur packets for real quasisplit unitary
groups\nby Paul Mezo (Carleton University) as part of BIRS workshop:
Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\n
Mok has defined Arthur packets for quasisplit unitary groups. His definit
ion follows Arthur's work on classical groups\, and relies on harmonic ana
lysis. For real groups an alternative definition of Arthur packets has be
en known since the early 90s. This approach\, due to Adams-Barbasch-Vogan\
, relies on sheaf-theoretic techniques instead of harmonic analysis. We wi
ll report on work in progress\, joint with N. Arancibia\, in proving that
these two definitions are equivalent for real quasisplit unitary groups.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bill Casselman (University of British Columbia)
DTSTART:20211119T180000Z
DTEND:20211119T190000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/23
DESCRIPTION:Title: The geometry of Arthur's truncation operator\nby Bill Casselman
(University of British Columbia) as part of BIRS workshop: Basic Functions
\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nArthur's trunca
tion operator\nplays a crucial role in the theory of automorphic forms\,\n
particularly in the derivation of the Trace Formula\,\nbut also in the con
struction of Eisenstein series\nand the derivation of the Plancherel formu
la.\nHowever\, I don't think it is well understood\,\nand there are many p
uzzling features to it\nthat become even more puzzling upon closer inspect
ion.\nIn this talk I shall point these out\, and perhaps resolve a few.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yiannis Sakellaridis (Johns Hopkins University)
DTSTART:20211119T230000Z
DTEND:20211120T000000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/24
DESCRIPTION:Title: The Shintani–Casselman–Shalika formula and its generalizations\;
harmonic analysis\, L-functions\, and geometry\nby Yiannis Sakellarid
is (Johns Hopkins University) as part of BIRS workshop: Basic Functions\,
Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nThe Shintani–Cas
selman–Shalika formula for eigenvectors of the spherical Hecke algebra o
n the space of Whittaker functions\, and its generalizations to other spac
es made possible by the method of Casselman and Shalika\, hold the key to
many fundamental connections between harmonic analysis\, L-functions\, and
geometry. In this talk\, I will attempt to explain: (1) How the functiona
l equations of the Casselman–Shalika method calculate the scattering ope
rators of harmonic analysis in terms of gamma factors. (2) The motivic mea
ning of those functional equations (based on joint work with Jonathan Wang
).\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wee Teck Gan (National University of Singapore)
DTSTART:20211120T000000Z
DTEND:20211120T010000Z
DTSTAMP:20260422T185228Z
UID:BIRS-21w5228/25
DESCRIPTION:Title: Automorphic discrete spectra of classical groups\nby Wee Teck Ga
n (National University of Singapore) as part of BIRS workshop: Basic Funct
ions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nI will disc
uss the work of two of my students\, Rui Chen and Jialiang Zou\, who show
how one can use theta correspondence efficiently to propagate the results
of Arthur and Mok on the automorphic discrete spectrum of quasi-split clas
sical groups to their pure inner forms and highlight some remaining proble
ms in this direction.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5228/25/
END:VEVENT
END:VCALENDAR