BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Subhajit Jana (Max Planck Institute for Mathematics\, Bonn)
DTSTART:20201021T090000Z
DTEND:20201021T101500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/1
DESCRIPTION:Title: Second moment of the central values of Rankin-Selb
erg $L$-functions\nby Subhajit Jana (Max Planck Institute for Mathemat
ics\, Bonn) as part of Rényi Institute Automorphic Forms Seminar\n\n\nAbs
tract\nAsymptotic evaluation of higher moments of higher degree $L$-values
is an interesting problem and has potential applications towards many que
stions in analytic theory of automorphic forms\, e.g. subconvexity of the
central $L$-values. In this talk I will explain a recent result on asympto
tic evaluation of the second moment of $GL(n)\\times GL(n)$ Rankin-Selberg
central $L$-values where one of the forms is a fixed cuspidal representat
ion and the other form is varying in a family containing representations w
ith analytic conductors bounded by $X$ and $X\\to \\infty$. This result ha
s potential to be converted to an asymptotic evaluation of the $2n$'th mom
ent of the standard $L$-values for $GL(n)$. I will describe the main point
s of the proof which uses spectral decomposition\, integral representation
of $L$-functions\, regularization of Eisenstein series\, and use of analy
tic newvectors for $GL_n(\\mathbb{R})$.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Thorner (University of Illinois at Urbana-Champaign)
DTSTART:20201026T160000Z
DTEND:20201026T171500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/2
DESCRIPTION:Title: An approximate form of Artin's holomorphy conjectu
re and nonvanishing of Artin $L$-functions\nby Jesse Thorner (Universi
ty of Illinois at Urbana-Champaign) as part of Rényi Institute Automorphi
c Forms Seminar\n\n\nAbstract\n(Joint with Robert Lemke Oliver and Asif Za
man) Let $p$ be a\nprime\, and let $\\mathscr{F}_p(Q)$ be the set of numb
er fields $F$ with\n$[F:\\mathbb{Q}]=p$ with absolute discriminant $D_F\\l
eq Q$. Let $\\zeta(s)$\nbe the Riemann zeta function\, and for $F\\in\\ma
thscr{F}_p(Q)$\, let\n$\\zeta_F(s)$ be the Dedekind zeta function of $F$.
The Artin $L$-function\n$\\zeta_F(s)/\\zeta(s)$ is expected to be automor
phic and satisfy GRH\, but\nin general\, it is not known to exhibit an ana
lytic continuation past\n$\\mathrm{Re}(s)=1$. I will describe new work wh
ich unconditionally shows\nthat for all $\\epsilon>0$ and all except $O_{p
\,\\epsilon}(Q^{\\epsilon})$ of\nthe $F\\in\\mathscr{F}_p(Q)$\, $\\zeta_F(
s)/\\zeta(s)$ analytically continues\nto a region in the critical strip co
ntaining the box\n$[1-\\epsilon/(20(p!))\,1]\\times[-D_F\,D_F]$ and is non
vanishing in this\nregion. This result is a special case of something mor
e general. I will\ndescribe some applications to class groups (extremal s
ize\, $\\ell$-torsion)\nand the distribution of periodic torus orbits (in
the spirit of\nEinsiedler\, Lindenstrauss\, Michel\, and Venkatesh).\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Humphries (University of Virginia)
DTSTART:20201111T100000Z
DTEND:20201111T111500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/3
DESCRIPTION:Title: Newform theory for $\\mathrm{GL}_n$\nby Peter
Humphries (University of Virginia) as part of Rényi Institute Automorphic
Forms Seminar\n\n\nAbstract\nWe shall discuss three interrelated notions
in the theory of\nautomorphic forms and automorphic representations: newfo
rms\,\n$L$-functions\, and conductors. In particular\, we cover how to def
ine the\nnewform associated to an automorphic representation of $\\mathrm{
GL}_n$\,\nhow to realise certain $L$-functions as period integrals involvi
ng\nnewforms\, and how to quantify the ramification of an automorphic\nrep
resentation in terms of properties of the newform.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keshav Aggarwal (University of Maine)
DTSTART:20210113T130000Z
DTEND:20210113T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/4
DESCRIPTION:Title: Subconvexity results via simplified delta methods<
/a>\nby Keshav Aggarwal (University of Maine) as part of Rényi Institute
Automorphic Forms Seminar\n\n\nAbstract\nIn this talk\, we will present a
few simplifications of Munshi's approach towards proving subconvexity boun
d problems that led to \n\n1. Obtaining the Weyl bound for $GL(2)$ $L$-fun
ctions in the $t$-aspect for Hecke-cusp forms of any level and nebentypus\
, and \n\n2. Obtaining an improved exponent for $GL(3)$ $L$-functions in t
he $t$-aspect that are not necessarily self-dual.\n\nIf time permits\, I w
ill briefly sketch ideas behind an ongoing project about using $GL(3)$ Kuz
netsov formula for obtaining a subconvexity bound for $GL(4)$ $L$-function
s in the $t$-aspect.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Siu Hang Man (University of Bonn)
DTSTART:20210120T100000Z
DTEND:20210120T111500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/5
DESCRIPTION:Title: A density theorem for $Sp(4)$\nby Siu Hang Man
(University of Bonn) as part of Rényi Institute Automorphic Forms Semina
r\n\n\nAbstract\nWe prove a density theorem that bounds the number of auto
morphic forms of level $q$ for the group $Sp(4)$ that violates the Ramanuj
an conjecture relative to the amount by which they violate the conjecture\
, which goes beyond Sarnak’s density hypothesis. The proof relies on a r
elative trace formula of Kuznetsov type\, and non-trivial bounds for certa
in $Sp(4)$ Kloosterman sums.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valentin Blomer (University of Bonn)
DTSTART:20210224T100000Z
DTEND:20210224T111500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/6
DESCRIPTION:Title: The Weyl bound for triple product $L$-functions\nby Valentin Blomer (University of Bonn) as part of Rényi Institute Aut
omorphic Forms Seminar\n\n\nAbstract\nWe present a robust method to obtain
the Weyl bound for triple product $L$-functions of three Maass forms\, tw
o of which are fixed and one has growing spectral parameter. The technique
s involve a combination of representation theoy\, local harmonic analysis
and analytic number theory. The result improves seminal work of Bernstein-
Reznikov and is joint with S. Jana and P. Nelson.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiakun Pan (Max Planck Institute for Mathematics\, Bonn)
DTSTART:20210217T100000Z
DTEND:20210217T111500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/7
DESCRIPTION:Title: The $L^4$-norm problem for newform Eisenstein seri
es\nby Jiakun Pan (Max Planck Institute for Mathematics\, Bonn) as par
t of Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\nLet $E$ be
an Eisenstein series of primitive nebentypus mod $N$. We reduce the regula
rised fourth moment of $E$ to an average of automorphic $L$-functions\, fo
r all large $N$. The result is the level aspect analogue of the similar wo
rk by Djanković and Khan.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Didier Lesesvre (Sun Yat-Sen University)
DTSTART:20210414T070000Z
DTEND:20210414T081500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/8
DESCRIPTION:Title: Hybrid subconvexity for $GL(3)$ $L$-functions\
nby Didier Lesesvre (Sun Yat-Sen University) as part of Rényi Institute A
utomorphic Forms Seminar\n\n\nAbstract\nThe automorphic representations ar
e one of the most important objects in modern number theory\, and a powerf
ul approach is to study them by analytic means\, through their associated
$L$-functions. The values of such $L$-functions are particularly important
on the critical line $\\Re(s) = 1/2$\, and bounding such values is known
as the subconvexity problem.\n\nIn this talk I will present a recent resul
t\, fruit of a joint work with Mehmet Kiral and Chan Ieong Kuan. We provid
e a subconvex bound in the case of $GL(3)$ automorphic forms twisted by a
character $\\chi$\, in the hybrid $(t\,\\chi)$ aspect.\n\nOur approach is
based on Munshi's automorphic circle method\, and this talk will emphasize
on the general strategy as well as the crucial points of the argument.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asbjørn Nordentoft (University of Bonn)
DTSTART:20210421T090000Z
DTEND:20210421T101500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/9
DESCRIPTION:Title: Wide moments of automorphic $L$-functions\nby
Asbjørn Nordentoft (University of Bonn) as part of Rényi Institute Autom
orphic Forms Seminar\n\n\nAbstract\nIn this talk\, we will talk about how
to calculate certain types of "wide moments" of automorphic L-function\, w
hich in many cases can be calculated using geometrically flavoured methods
due to connections to automorphic periods.\n\nIn particular we will consi
der the case of Rankin--Selberg $L$-functions of $GL_2$ automorphic forms
twisted by class group characters of imaginary quadratic fields\, in which
case the "wide moments" are connected to equidistribution of Heegner poin
ts using Waldspurger's formula. We will also present applications to non-v
anishing.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yujiao Jiang (Shandong University)
DTSTART:20210512T113000Z
DTEND:20210512T124500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/10
DESCRIPTION:Title: Bombieri--Vinogradov theorem for $GL(n)$ automorp
hic $L$-functions\nby Yujiao Jiang (Shandong University) as part of R
ényi Institute Automorphic Forms Seminar\n\n\nAbstract\nThe celebrated Bo
mbieri--Vinogradov theorem states that the primes up to $x$ in arithmetic
progressions modulo $q$ are well-distributed for all $q\\leq x^{1/2} / \\l
og^B x$\, which shows that the GRH is true on average. In this talk\, we p
resent a unconditional generalization of Bombieri--Vinogradov theorem in t
he $GL(n)$ automorphic context. In particular\, we give the same quality a
s the result of Bombieri--Vinogradov when $n\\leq 4$. As applications\, we
also discuss some shifted convolution problems at integers and primes. Th
is is recent joint work with Guangshi Lü\, Jesse Thorner and Zihao Wang.\
n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nina Zubrilina (Princeton University)
DTSTART:20210707T150000Z
DTEND:20210707T161500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/11
DESCRIPTION:Title: Convergence to Plancherel measure of Hecke eigenv
alues\nby Nina Zubrilina (Princeton University) as part of Rényi Inst
itute Automorphic Forms Seminar\n\n\nAbstract\nJoint work with Peter Sarna
k. We give rates\, uniform in the degrees of test polynomials\, of converg
ence of Hecke eigenvalues to the $p$-adic Plancherel measure. We apply thi
s to the question of eigenvalue tuple multiplicity and to a question of Se
rre concerning the factorization of the Jacobian of the modular curve $X_0
(N)$.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Edgar Assing (University of Bonn)
DTSTART:20211125T130000Z
DTEND:20211125T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/12
DESCRIPTION:Title: The sup-norm problem in small $p$-adic $K$-types
of $GL(2)$\nby Edgar Assing (University of Bonn) as part of Rényi Ins
titute Automorphic Forms Seminar\n\n\nAbstract\nThe sup-norm problem asks
for good upper bounds on the size of $L^2$-normalised eigenfunctions. In t
he setting of automorphic forms on ${\\rm GL}_2$ the most studied case are
spherical Hecke-Maaß newforms of level $N$. Only very recently an in dep
th study of non-spherical Hecke-Maaß forms was taken up by Blomer-Harcos-
Maga-Milićević. As an $p$-adic analogue of this we replace newforms by f
orms that lie in a small $p$-adic $K$-type. We can prove non-trivial sup-n
orm bounds on average over a basis of this $K$-type when its dimension gro
ws. In this talk we will make this statement precise and discuss some aspe
cts of its proof.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Zenz (McGill University)
DTSTART:20211209T133000Z
DTEND:20211209T144500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/13
DESCRIPTION:Title: Quantum variance for holomorphic Hecke cusp forms
on the vertical geodesic\nby Peter Zenz (McGill University) as part o
f Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\nIn this talk w
e explore a distribution result for holomorphic Hecke cusp forms on the ve
rtical geodesic. More precisely\, we show how to evaluate the quantum vari
ance of holomorphic Hecke cusp forms on the vertical geodesic for smooth\,
compactly supported test functions. The variance is related to an average
d shifted-convolution problem that we evaluate asymptotically. We encounte
r an off-diagonal term that matches exactly with a certain diagonal term\,
a feature reminiscent of moments of $L$-functions. During the talk we als
o compare the quantum variance computation for the vertical geodesic with
the corresponding computation for the full fundamental domain and we highl
ight important differences.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART:20220106T130000Z
DTEND:20220106T143000Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/14
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexi
ty I\nby Han Wu (Queen Mary University of London) as part of Rényi In
stitute Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distribut
ional version of Motohashi's formula by presenting a compact variant. Then
we give an application of the formula to the Weyl-type hybrid subconvexit
y for Hecke characters of cube-free level over totally real number fields\
, which includes:\n\n (1) description of a large class of local admissible
weight functions at archimedean places on the cubic moment side\;\n\n (2)
a local archimedean transformation formula from the cubic moment side to
the fourth moment side\;\n\n (3) a bound of the local archimedean dual wei
ght functions on the fourth moment side.\n\nDetails of (3) will be given.
Other details will be given according to the audience's interests if time
permits. Relations and differences of our methods with other methods in th
e literature will be emphasized.\n\nJoint result with Olga Balkanova and D
mitry Frolenkov.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART:20220120T130000Z
DTEND:20220120T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/15
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexi
ty II\nby Han Wu (Queen Mary University of London) as part of Rényi I
nstitute Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distribu
tional version of Motohashi's formula by presenting a compact variant. The
n we give an application of the formula to the Weyl-type hybrid subconvexi
ty for Hecke characters of cube-free level over totally real number fields
\, which includes:\n\n (1) description of a large class of local admissibl
e weight functions at archimedean places on the cubic moment side\;\n\n (2
) a local archimedean transformation formula from the cubic moment side to
the fourth moment side\;\n\n (3) a bound of the local archimedean dual we
ight functions on the fourth moment side.\n\nDetails of (3) will be given.
Other details will be given according to the audience's interests if time
permits. Relations and differences of our methods with other methods in t
he literature will be emphasized.\n\nJoint result with Olga Balkanova and
Dmitry Frolenkov.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olga Balkanova\, Dmitry Frolenkov (Steklov Mathematical Institute)
DTSTART:20220203T130000Z
DTEND:20220203T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/16
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexi
ty III\nby Olga Balkanova\, Dmitry Frolenkov (Steklov Mathematical Ins
titute) as part of Rényi Institute Automorphic Forms Seminar\n\n\nAbstrac
t\nWe shall give a distributional version of Motohashi's formula by presen
ting a compact variant. Then we give an application of the formula to the
Weyl-type hybrid subconvexity for Hecke characters of cube-free level over
totally real number fields\, which includes:\n\n (1) description of a lar
ge class of local admissible weight functions at archimedean places on the
cubic moment side\;\n\n (2) a local archimedean transformation formula fr
om the cubic moment side to the fourth moment side\;\n\n (3) a bound of th
e local archimedean dual weight functions on the fourth moment side.\n\nDe
tails of (3) will be given. Other details will be given according to the a
udience's interests if time permits. Relations and differences of our meth
ods with other methods in the literature will be emphasized.\n\nJoint resu
lt with Han Wu.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART:20220217T130000Z
DTEND:20220217T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/17
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexi
ty IV\nby Han Wu (Queen Mary University of London) as part of Rényi I
nstitute Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distribu
tional version of Motohashi's formula by presenting a compact variant. The
n we give an application of the formula to the Weyl-type hybrid subconvexi
ty for Hecke characters of cube-free level over totally real number fields
\, which includes:\n\n (1) description of a large class of local admissibl
e weight functions at archimedean places on the cubic moment side\;\n\n (2
) a local archimedean transformation formula from the cubic moment side to
the fourth moment side\;\n\n (3) a bound of the local archimedean dual we
ight functions on the fourth moment side.\n\nDetails of (3) will be given.
Other details will be given according to the audience's interests if time
permits. Relations and differences of our methods with other methods in t
he literature will be emphasized.\n\nJoint result with Olga Balkanova and
Dmitry Frolenkov.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joshua Stucky (Kansas State University)
DTSTART:20220303T150000Z
DTEND:20220303T161500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/18
DESCRIPTION:Title: The sixth moment of automorphic $L$-functions
\nby Joshua Stucky (Kansas State University) as part of Rényi Institute A
utomorphic Forms Seminar\n\n\nAbstract\nMoments of $L$-functions are among
the central objects of study in modern analytic number theory. In this ta
lk I will discuss my recent results concerning the sixth moment of a famil
y of $GL(2)$ automorphic $L$-functions. After a brief introduction to this
family of $L$-functions\, I will explain the proof of my result in some d
etail\, focusing on the main ideas of the proof as well as a few of the te
chnical aspects.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhi Qi (Zhejiang University)
DTSTART:20220317T130000Z
DTEND:20220317T141500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/19
DESCRIPTION:Title: Asymptotic for the cubic moment of Maass form L-F
unctions\nby Zhi Qi (Zhejiang University) as part of Rényi Institute
Automorphic Forms Seminar\n\n\nAbstract\nIn this talk\, I will talk about
the cubic moment of cerntral L-values for Maass forms. It was studied by A
leksandar Ivić at the beginning of this century\, obtaining asymptotic on
the long interval [0\, T] with error term $O(T^{8/7+\\epsilon})$ and Lind
elöf-on-average bound on the short window [T-M\, T+M] for M as small as $
T^{\\epsilon}$. Ivić's results are improved in my recent work\; in partic
ular\, Ivić's conjectured error term $O (T^{1+\\epsilon})$ is proven. Our
proof follows the standard Kuznetsov--Voronoi approach stemed from the wo
rk of Conrey and Iwaniec. Our main new idea is a combination of the method
s of Xiaoqing Li and Young.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ramon M. Nunes (Universidade Federal do Ceará)
DTSTART:20220331T120000Z
DTEND:20220331T131500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/20
DESCRIPTION:Title: Integral representations of $L$-functions and spe
ctral identities\nby Ramon M. Nunes (Universidade Federal do Ceará) a
s part of Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\nIn rec
ent years a lot of attention has been given to the study of spectral ident
ities between moments of automorphic $L$-functions. Besides their intrinsi
c beauty\, these formulas are also very powerful as one is able to deduce
interesting information about moments without performing a delicate study
of the geometric side of a trace formula. In this talk I will show some in
stances of spectral identities in the literature and show a recent result
obtained jointly with Subhajit Jana on a higher rank spectral identity whi
ch relates mixed moments of certain Rankin--Selberg L-functions on $GL(n)$
.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bingrong Huang (Shandong University)
DTSTART:20220428T120000Z
DTEND:20220428T131500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/21
DESCRIPTION:Title: Uniform bounds for $GL(3)\\times GL(2)$ $L$-funct
ions\nby Bingrong Huang (Shandong University) as part of Rényi Instit
ute Automorphic Forms Seminar\n\n\nAbstract\nIn this talk\, I will introdu
ce the subconvexity problem of $L$-functions and some results on $GL(3)$ a
nd $GL(3)\\times GL(2)$ $L$-functions. I will also give a sketch proof of
uniform bounds for $GL(3)\\times GL(2)$ $L$-functions in the $t$ and $GL(2
)$ spectral aspects.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Radu Toma (University of Bonn)
DTSTART:20220505T120000Z
DTEND:20220505T131500Z
DTSTAMP:20260404T110654Z
UID:AutomorphicFormsBudapest/22
DESCRIPTION:Title: Hybrid sup-norm bounds for automorphic forms in h
igher rank\nby Radu Toma (University of Bonn) as part of Rényi Instit
ute Automorphic Forms Seminar\n\n\nAbstract\nA hybrid bound for the sup-no
rm of automorphic forms is a bound uniform in the eigenvalue and the volum
e aspect simultaneously. In this talk\, I will discuss a method of proving
hybrid bounds for Hecke-Maass forms on compact quotients $\\Gamma \\backs
lash \\operatorname{SL}(n\, \\mathbb{R}) / \\operatorname{SO}(n)$\, where
$\\Gamma$ is the unit group of an order in a central simple division algeb
ra over $\\mathbb{Q}$\, and $n$ is prime. The bounds feature uniformity in
the full covolume of $\\Gamma$ and an explicit power-saving over what is
considered the local bound. By restricting to a certain family of orders (
of Eichler type)\, we also obtain partial results when $n$ is an arbitrary
odd number.\n
LOCATION:https://stable.researchseminars.org/talk/AutomorphicFormsBudapest
/22/
END:VEVENT
END:VCALENDAR