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BEGIN:VEVENT
SUMMARY:Joseph Bernstein (Tel Aviv University)
DTSTART:20211115T160000Z
DTEND:20211115T170000Z
DTSTAMP:20260404T041648Z
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://stable.researchseminars.org/talk/BIRS-21w5228/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Patrick Delorme (Institut de Mathématiques de Marseille)
DTSTART:20211115T170000Z
DTEND:20211115T180000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/2
DESCRIPTION:Title: A Plancherel formula of spherical varieties for split real red
uctive groups\nby Patrick Delorme (Institut de Mathématiques de Marse
ille) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and
Beyond Endoscopy\n\n\nAbstract\nWe establish the analog for real spherical
varieties of the Scattering Theorem of Sakellaridis and Venkatesh for p-a
dic wavefront spherical varieties. We use properties of the Harish-Chandra
homomorphism of Knop for invariant differential operators of the variety\
, special coverings of the variety and spectral projections. We have to ma
ke an analog of the Discrete Series Conjecture of Sakellaridis and Venkate
sh.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Sarnak (Princeton University)
DTSTART:20211115T180000Z
DTEND:20211115T190000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/3
DESCRIPTION:Title: The algebraic and transcendental parts of the spectra of arith
metic manifolds\nby Peter Sarnak (Princeton University) as part of BIR
S workshop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n
\nAbstract\nMost of the spectrum of locally homogeneous arithmetic manifol
ds is presumably transcendental. We discuss what is expected\, what can be
proven\, and the role of these transcendental objects in the theory of au
tomorphic forms.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spencer Leslie (Duke University)
DTSTART:20211115T210000Z
DTEND:20211115T220000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/4
DESCRIPTION:Title: Endoscopy and stabilization for symmetric varieties\nby Sp
encer Leslie (Duke University) as part of BIRS workshop: Basic Functions\,
Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nRelative trace fo
rmulas are central tools in the study of relative functoriality. In many c
ases of interest\, basic stability problems have not been addressed. In th
is talk\, I will discuss a theory of endoscopy in the context of symmetric
varieties with the global goal of stabilizing the associated relative tra
ce formula. I outline how\, using the dual group of the symmetric variety\
, one can give a good notion of endoscopic symmetric variety and conjectur
e a matching of relative orbital integrals in order to stabilize the relat
ive trace formula. In the case of unitary Friedberg-Jacquet periods\, I ex
plain my proof stabilizing the elliptic terms of the relative trace formul
a.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhilin Luo (University of Chicago)
DTSTART:20211115T220000Z
DTEND:20211115T230000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/5
DESCRIPTION:Title: Harmonic analysis and gamma functions\nby Zhilin Luo (Univ
ersity of Chicago) as part of BIRS workshop: Basic Functions\, Orbital Int
egrals\, and Beyond Endoscopy\n\n\nAbstract\nI am going to introduce sever
al new types of harmonic analysis on reductive groups arising from the pro
posal of Braverman and Kazhdan. This is based on my joint work with D. Ji
ang and L. Zhang\, D. Jiang\, and B. C. Ngô.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dipendra Prasad (Indian Institute of Technology\, Bombay)
DTSTART:20211116T160000Z
DTEND:20211116T170000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/6
DESCRIPTION:Title: Relations between cusp forms sharing Hecke eigenvalues\nby
Dipendra Prasad (Indian Institute of Technology\, Bombay) as part of BIRS
workshop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\
nAbstract\nWe will discuss a variant of the multiplicity one theorem for a
utomorphic forms on GL(n)\, and consider the question of whether the set
of Hecke eigenvalues of a cusp form on GL(n) is contained in the set of H
ecke eigenvalues of a cusp form on GL(m) for n≤m\, and try to understand
the question in some cases. We will also discuss an analogous question ab
out group representations which seems not to have been considered before\,
and seems to be of independent interest. Joint work with R. Raghunathan.
\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Loren Spice (Texas Christian University)
DTSTART:20211116T170000Z
DTEND:20211116T180000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/7
DESCRIPTION:Title: Explicit character formulæ for tame supercuspidals via asympt
otic expansions\nby Loren Spice (Texas Christian University) as part o
f BIRS workshop: Basic Functions\, Orbital Integrals\, and Beyond Endoscop
y\n\n\nAbstract\nKim and Murnaghan developed a theory of asymptotic expans
ions of characters\, which describe their behaviour near the identity in t
erms of Fourier transforms of semisimple orbital integrals. In 2016\, I s
howed that\, like Harish-Chandra's local character expansion\, these asymp
totic expansions could be centred everywhere\, thus effectively providing
an inductive formula for characters of tame supercuspidal representations
of p-adic groups G in terms of the analogous representations of tame\, twi
sted Levi subgroups G'. However\, unrolling the induction presented techn
ical difficulties. In this talk\, I will describe how those difficulties
were overcome by a refined understanding of the Fourier transforms appeari
ng in the asymptotic expansions. This work provides a pleasant simultaneo
us justification of the local character expansion\, Kim–Murnaghan asympt
otic expansions\, the Shalika germ expansion\, and an asymptotic result of
Waldspurger on Fourier transforms of semisimple orbital integrals.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jayce Getz (Duke University)
DTSTART:20211116T180000Z
DTEND:20211116T190000Z
DTSTAMP:20260404T041648Z
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 Universi
ty) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, and Be
yond Endoscopy\n\n\nAbstract\nThe beyond endoscopy proposal hinges on obta
ining geometric expressions for residues of L-functions using trace formul
ae. We explain how this can be accomplished for the Rankin-Selberg L-func
tion of a pair cuspidal automorphic representations of $GL_2$. In contras
t to previous methods\, I work with the whole reductive monoid as opposed
taking traces\, thus the output is a sum over a ``boundary term'' for a re
ductive monoid. This makes explicit the connection between ideas of Brave
rman-Kazhdan-L. Lafforgue-Ngo-Sakellaridis and the beyond endoscopy propos
al.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Freydoon Shahidi (Purdue University)
DTSTART:20211116T210000Z
DTEND:20211116T220000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/9
DESCRIPTION:Title: On Braverman-Kazhdan/Ngo Program\nby Freydoon Shahidi (Pur
due University) as part of BIRS workshop: Basic Functions\, Orbital Integr
als\, and 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
discuss Renner's construction of reductive monoids attached to representa
tions of the L-group and conclude with the construction for the cases of s
ymmetric powers of GL(2). Next\, I discuss corresponding Schwartz spaces a
nd Fourier transforms\, selecting a natural subspace of the conjectured Sc
hwartz space whose functions are uniformly smooth which I will prove to co
ntain the 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://stable.researchseminars.org/talk/BIRS-21w5228/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clifton Cunningham (Purdue University)
DTSTART:20211116T220000Z
DTEND:20211116T230000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/10
DESCRIPTION:Title: Generic ABV-packets for p-adic groups\nby Clifton Cunning
ham (Purdue University) as part of BIRS workshop: Basic Functions\, Orbita
l Integrals\, and Beyond Endoscopy\n\n\nAbstract\nIn this talk we propose
an adaptation of Shahidi's enhanced genericity conjecture to ABV-packets:
for every Langlands parameter for a p-adic group\, the associated ABV-pack
et contains a generic representation if and only if the orbit of the param
eter in the moduli space is open. We relate this genericity conjecture for
ABV-packets to other standard conjectures and verify its validity in some
special cases. Joint work with Andrew Fiori\, Ahmed Moussaoui and Qing Zh
ang.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Henri Chaudouard (Jussieu)
DTSTART:20211117T160000Z
DTEND:20211117T170000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/11
DESCRIPTION:Title: Regularized period of Eisenstein series for unitary groups\nby Pierre-Henri Chaudouard (Jussieu) as part of BIRS workshop: Basic Fu
nctions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nThe Gan-
Gross-Prasad (GGP) conjecture relates the non-vanishing of some periods of
cuspidal automorphic forms to that of the central value of some related L
-functions. 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 this situation and an application to the Bessel periods of unitary gro
ups. (Based on an ongoing work with Raphaël Beuzart-Plessis).\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bao Chau Ngo (University of Chicago)
DTSTART:20211117T170000Z
DTEND:20211117T180000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/12
DESCRIPTION:Title: A formula for the kernel of the rho-Fourier transform\nby
Bao Chau Ngo (University of Chicago) as part of BIRS workshop: Basic Func
tions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nIn the pro
gram to generalize Tate-Godement-Jacquet approach of establishing directly
the functional equation of general \nautomorphic L-function $L(s\,\\pi\,\
\rho)$\, a main ingredient would be a formula for the $\\rho$-Fourier tran
sform where rho is a finite-dimensional \nrepresentation of the Langlands
dual group of $G$. Such a formula is well understood in the case of tori.
By reduction 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
transform which is independent of \n$\\rho$. Such a transform has been pr
oposed by L. Lafforgue in the case $GL(2)$. We propose a transform for $GL
(n)$ using some intricate invariant theory. \nThis is a joint work with Z.
Luo.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Arthur (University of Toronto)
DTSTART:20211117T180000Z
DTEND:20211117T190000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/13
DESCRIPTION:Title: Orbital L-functions for GL(3)\nby James Arthur (Universit
y of Toronto) as part of BIRS workshop: Basic Functions\, Orbital Integral
s\, and Beyond Endoscopy\n\n\nAbstract\nOrbital L-functions are geometric
analogues 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 opposed to the cuspical automorphic terms on the spectral side. They w
ere introduced 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 t
o isolate the nontempered one-dimensional representations. They are also c
losely related to the zeta functions defined for GL(n) by Z. Yun.\n\nWe sh
all introduce orbital L-functions for GL(3)\, in a form suitable for appli
cation. It turns out that they have surprisingly simple formulas\, which s
pecialize to even simpler formulas for the elliptic orbital integrals. If
time permits\, we shall add some remarks on their possible analogues for h
igher rank\, and their future role in Beyond Endoscopy.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jessica Fintzen (University of Cambridge and Duke University)
DTSTART:20211117T210000Z
DTEND:20211117T220000Z
DTSTAMP:20260404T041648Z
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://stable.researchseminars.org/talk/BIRS-21w5228/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bin Xu (Tsinghua University)
DTSTART:20211118T000000Z
DTEND:20211118T010000Z
DTSTAMP:20260404T041648Z
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: Bas
ic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nAbs
tract: Arthur (1989) conjectured that the discrete spectrum of automorphic
representations of a connected reductive group over a number field can be
decomposed into A-packets\, in terms of which he also conjectured a multi
plicity formula. In this talk I will give an introduction to these conject
ures and report on the progress for symplectic and orthogonal similitude g
roups based on the works of Arthur and Moeglin for classical groups.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raphaël Beuzart-Plessis (CNRS\, Université d'Aix-Marseille)
DTSTART:20211118T160000Z
DTEND:20211118T170000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/16
DESCRIPTION:Title: Multipliers and isolation of the cuspidal spectrum by convolu
tion operators\nby Raphaël Beuzart-Plessis (CNRS\, Université d'Aix-
Marseille) as part of BIRS workshop: Basic Functions\, Orbital Integrals\,
and Beyond Endoscopy\n\n\nAbstract\nIn this talk\, I will explain how to
construct convolution operators that isolate certain cuspidal representat
ions from the rest of the automorphic spectrum. For this\, we combine the
action of spherical Hecke algebras at unramified places with that of an al
gebra of "multipliers" at Archimedean places. In particular\, it is crucia
l that the multiplier algebra we use be sufficiently large. Time permittin
g\, I might also explain an application of this construction to the global
Gan-Gross-Prasad conjecture for unitary groups.\n\nThis is based on joint
work with Yifeng Liu\, Wei Zhang and Xinwen Zhu.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Gourevitch (Weizmann Institute of Science)
DTSTART:20211118T170000Z
DTEND:20211118T180000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/17
DESCRIPTION:Title: Finite multiplicities beyond spherical pairs\nby Dmitry G
ourevitch (Weizmann Institute of Science) as part of BIRS workshop: Basic
Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nLet G
be a real reductive algebraic group\, and let H be an algebraic subgroup o
f 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 space of Schwartz functions on G/H are finite in this case. I will tal
k about a recent joint work with A. Aizenbud in which we formulate and ana
lyze a generalization of sphericity that implies finite multiplicities in
the Schwartz space of G/H for small enough irreducible smooth representati
ons of G.\n\nIn more detail\, for every G-space X\, and every closed G-inv
ariant 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 dimens
ions of fibers of the moment map. We then show that if X is S-spherical\,
then every representation with annihilator variety lying in S has (at most
) finite multiplicities in the Schwartz space of X. We give applications o
f our results to branching problems.\n\nOur main tool in bounding the mult
iplicity is the theory of holonomic D-modules. After formulating our main
results\, I will briefly recall the necessary aspects of this theory and s
ketch our proofs.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wei Zhang (MIT)
DTSTART:20211118T180000Z
DTEND:20211118T190000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/18
DESCRIPTION:Title: p-adic limit of (relative) orbital integrals\nby Wei Zhan
g (MIT) as part of BIRS workshop: Basic Functions\, Orbital Integrals\, an
d Beyond Endoscopy\n\n\nAbstract\nWhile studying p-adic L-function and p-a
dic height of arithmetic diagonal cycles\, it is natural to study the p-ad
ic limit of certain relative trace formulas (for a suitable family of tes
t functions). This motivates us to study the p-adic limit of (relative) or
bital integrals. I'll describe some results and unsolved problems. This is
a joint work with Daniel Disegni.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Goresky (Institute for Advanced Study)
DTSTART:20211118T210000Z
DTEND:20211118T220000Z
DTSTAMP:20260404T041648Z
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 Fun
ctions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nI am repo
rting on joint work with Yung-sheng Tai.\n\nEach locally symmetric space $
X$ for the group $SL(2\, \\mathbb{C})$ is a hyperbolic 3-dimensional manif
old that parametrizes principally polarized complex abelian surfaces with
appropriate level structure and anti-holomorphic multiplication\, meaning:
an action by the integers in a quadratic imaginary number field such tha
t imaginary elements act anti-holomorphically. What happens when these ab
elian varieties are reduced modulo p? I do not know the answer in general
\, but for ordinary (principally polarized) abelian varieties it is possib
le to make sense of anti-holomorphic multiplication. One might say that is
omorphism classes of such objects represent ``ordinary points'' of ``$X$ m
od $p$'' despite the fact that ``$X$ mod $p$'' does not exist as a scheme
or stack\, and it suggests that perhaps in some larger world it may be pos
sible to make sense of this object.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chen Wan (RuUtgers University-Newark)
DTSTART:20211118T220000Z
DTEND:20211118T230000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/20
DESCRIPTION:Title: A multiplicity formula of K-types\nby Chen Wan (RuUtgers
University-Newark) as part of BIRS workshop: Basic Functions\, Orbital Int
egrals\, and Beyond Endoscopy\n\n\nAbstract\nIn this talk\, by using the t
race formula method\, I will prove a multiplicity formula of K-types for a
ll representations of real reductive groups in terms of the Harish-Chandra
character.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Opdam (University of Amsterdam)
DTSTART:20211119T160000Z
DTEND:20211119T170000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/21
DESCRIPTION:Title: Residue distributions and spherical Eisenstein series\nby
Eric Opdam (University of Amsterdam) as part of BIRS workshop: Basic Func
tions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nLet $G$ be
a connected reductive group which is split over a number field $F$. On a
subspace generated by wave packets of appropriately normalized Eisenstein
series\, the spectral decomposition of the space of spherical automorphic
forms of $G$ supported by the trivial character of a maximal torus can be
made completely explicit\, using the theory of residue distributions. The
remaining challenge is to prove that this subspace is in fact everything.
To address 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://stable.researchseminars.org/talk/BIRS-21w5228/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Mezo (Carleton University)
DTSTART:20211119T170000Z
DTEND:20211119T180000Z
DTSTAMP:20260404T041648Z
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 wor
kshop: Basic Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbs
tract\nMok has defined Arthur packets for quasisplit unitary groups. His
definition follows Arthur's work on classical groups\, and relies on harmo
nic analysis. For real groups an alternative definition of Arthur packets
has been known since the early 90s. This approach\, due to Adams-Barbasch
-Vogan\, relies on sheaf-theoretic techniques instead of harmonic analysis
. We will report on work in progress\, joint with N. Arancibia\, in provin
g that these two definitions are equivalent for real quasisplit unitary gr
oups.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bill Casselman (University of British Columbia)
DTSTART:20211119T180000Z
DTEND:20211119T190000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/23
DESCRIPTION:Title: The geometry of Arthur's truncation operator\nby Bill Cas
selman (University of British Columbia) as part of BIRS workshop: Basic Fu
nctions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nArthur's
truncation operator\nplays a crucial role in the theory of automorphic fo
rms\,\nparticularly in the derivation of the Trace Formula\,\nbut also in
the construction of Eisenstein series\nand the derivation of the Planchere
l formula.\nHowever\, I don't think it is well understood\,\nand there are
many puzzling features to it\nthat become even more puzzling upon closer
inspection.\nIn this talk I shall point these out\, and perhaps resolve a
few.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yiannis Sakellaridis (Johns Hopkins University)
DTSTART:20211119T230000Z
DTEND:20211120T000000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/24
DESCRIPTION:Title: The Shintani–Casselman–Shalika formula and its generaliza
tions\; harmonic analysis\, L-functions\, and geometry\nby Yiannis Sak
ellaridis (Johns Hopkins University) as part of BIRS workshop: Basic Funct
ions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nThe Shintan
i–Casselman–Shalika formula for eigenvectors of the spherical Hecke al
gebra on the space of Whittaker functions\, and its generalizations to oth
er spaces made possible by the method of Casselman and Shalika\, hold the
key to many fundamental connections between harmonic analysis\, L-function
s\, and geometry. In this talk\, I will attempt to explain: (1) How the fu
nctional equations of the Casselman–Shalika method calculate the scatter
ing operators of harmonic analysis in terms of gamma factors. (2) The moti
vic meaning of those functional equations (based on joint work with Jonath
an Wang).\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wee Teck Gan (National University of Singapore)
DTSTART:20211120T000000Z
DTEND:20211120T010000Z
DTSTAMP:20260404T041648Z
UID:BIRS-21w5228/25
DESCRIPTION:Title: Automorphic discrete spectra of classical groups\nby Wee
Teck Gan (National University of Singapore) as part of BIRS workshop: Basi
c Functions\, Orbital Integrals\, and Beyond Endoscopy\n\n\nAbstract\nI wi
ll discuss the work of two of my students\, Rui Chen and Jialiang Zou\, wh
o show how one can use theta correspondence efficiently to propagate the r
esults of Arthur and Mok on the automorphic discrete spectrum of quasi-spl
it classical groups to their pure inner forms and highlight some remaining
problems in this direction.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5228/25/
END:VEVENT
END:VCALENDAR