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BEGIN:VEVENT
SUMMARY:Subhajit Jana (Max Planck Institute for Mathematics\, Bonn)
DTSTART;VALUE=DATE-TIME:20201021T090000Z
DTEND;VALUE=DATE-TIME:20201021T101500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/1
DESCRIPTION:Title: Second moment of the central values of Rankin-Selberg $L$
-functions\nby Subhajit Jana (Max Planck Institute for Mathematics\, B
onn) as part of Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\n
Asymptotic evaluation of higher moments of higher degree $L$-values is an
interesting problem and has potential applications towards many questions
in analytic theory of automorphic forms\, e.g. subconvexity of the central
$L$-values. In this talk I will explain a recent result on asymptotic eva
luation of the second moment of $GL(n)\\times GL(n)$ Rankin-Selberg centra
l $L$-values where one of the forms is a fixed cuspidal representation and
the other form is varying in a family containing representations with ana
lytic conductors bounded by $X$ and $X\\to \\infty$. This result has poten
tial to be converted to an asymptotic evaluation of the $2n$'th moment of
the standard $L$-values for $GL(n)$. I will describe the main points of th
e proof which uses spectral decomposition\, integral representation of $L$
-functions\, regularization of Eisenstein series\, and use of analytic new
vectors for $GL_n(\\mathbb{R})$.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Thorner (University of Illinois at Urbana-Champaign)
DTSTART;VALUE=DATE-TIME:20201026T160000Z
DTEND;VALUE=DATE-TIME:20201026T171500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/2
DESCRIPTION:Title: An approximate form of Artin's holomorphy conjecture and
nonvanishing of Artin $L$-functions\nby Jesse Thorner (University of I
llinois at Urbana-Champaign) as part of Rényi Institute Automorphic Forms
Seminar\n\n\nAbstract\n(Joint with Robert Lemke Oliver and Asif Zaman) L
et $p$ be a\nprime\, and let $\\mathscr{F}_p(Q)$ be the set of number fiel
ds $F$ with\n$[F:\\mathbb{Q}]=p$ with absolute discriminant $D_F\\leq Q$.
Let $\\zeta(s)$\nbe the Riemann zeta function\, and for $F\\in\\mathscr{F
}_p(Q)$\, let\n$\\zeta_F(s)$ be the Dedekind zeta function of $F$. The Ar
tin $L$-function\n$\\zeta_F(s)/\\zeta(s)$ is expected to be automorphic an
d satisfy GRH\, but\nin general\, it is not known to exhibit an analytic c
ontinuation past\n$\\mathrm{Re}(s)=1$. I will describe new work which unc
onditionally shows\nthat for all $\\epsilon>0$ and all except $O_{p\,\\eps
ilon}(Q^{\\epsilon})$ of\nthe $F\\in\\mathscr{F}_p(Q)$\, $\\zeta_F(s)/\\ze
ta(s)$ analytically continues\nto a region in the critical strip containin
g the box\n$[1-\\epsilon/(20(p!))\,1]\\times[-D_F\,D_F]$ and is nonvanishi
ng in this\nregion. This result is a special case of something more gener
al. I will\ndescribe some applications to class groups (extremal size\, $
\\ell$-torsion)\nand the distribution of periodic torus orbits (in the spi
rit of\nEinsiedler\, Lindenstrauss\, Michel\, and Venkatesh).\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Humphries (University of Virginia)
DTSTART;VALUE=DATE-TIME:20201111T100000Z
DTEND;VALUE=DATE-TIME:20201111T111500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/3
DESCRIPTION:Title: Newform theory for $\\mathrm{GL}_n$\nby Peter Humphri
es (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: newforms\,\n
$L$-functions\, and conductors. In particular\, we cover how to define the
\nnewform associated to an automorphic representation of $\\mathrm{GL}_n$\
,\nhow to realise certain $L$-functions as period integrals involving\nnew
forms\, and how to quantify the ramification of an automorphic\nrepresenta
tion in terms of properties of the newform.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keshav Aggarwal (University of Maine)
DTSTART;VALUE=DATE-TIME:20210113T130000Z
DTEND;VALUE=DATE-TIME:20210113T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/4
DESCRIPTION:Title: Subconvexity results via simplified delta methods\nby
Keshav Aggarwal (University of Maine) as part of Rényi Institute Automor
phic Forms Seminar\n\n\nAbstract\nIn this talk\, we will present a few sim
plifications of Munshi's approach towards proving subconvexity bound probl
ems that led to \n\n1. Obtaining the Weyl bound for $GL(2)$ $L$-functions
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 the $t$-
aspect that are not necessarily self-dual.\n\nIf time permits\, I will bri
efly sketch ideas behind an ongoing project about using $GL(3)$ Kuznetsov
formula for obtaining a subconvexity bound for $GL(4)$ $L$-functions in th
e $t$-aspect.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Siu Hang Man (University of Bonn)
DTSTART;VALUE=DATE-TIME:20210120T100000Z
DTEND;VALUE=DATE-TIME:20210120T111500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/5
DESCRIPTION:Title: A density theorem for $Sp(4)$\nby Siu Hang Man (Unive
rsity of Bonn) as part of Rényi Institute Automorphic Forms Seminar\n\n\n
Abstract\nWe prove a density theorem that bounds the number of automorphic
forms of level $q$ for the group $Sp(4)$ that violates the Ramanujan conj
ecture relative to the amount by which they violate the conjecture\, which
goes beyond Sarnak’s density hypothesis. The proof relies on a relative
trace formula of Kuznetsov type\, and non-trivial bounds for certain $Sp(
4)$ Kloosterman sums.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valentin Blomer (University of Bonn)
DTSTART;VALUE=DATE-TIME:20210224T100000Z
DTEND;VALUE=DATE-TIME:20210224T111500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/6
DESCRIPTION:Title: The Weyl bound for triple product $L$-functions\nby V
alentin Blomer (University of Bonn) as part of Rényi Institute Automorphi
c Forms Seminar\n\n\nAbstract\nWe present a robust method to obtain the We
yl bound for triple product $L$-functions of three Maass forms\, two of wh
ich are fixed and one has growing spectral parameter. The techniques invol
ve a combination of representation theoy\, local harmonic analysis and ana
lytic number theory. The result improves seminal work of Bernstein-Rezniko
v and is joint with S. Jana and P. Nelson.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiakun Pan (Max Planck Institute for Mathematics\, Bonn)
DTSTART;VALUE=DATE-TIME:20210217T100000Z
DTEND;VALUE=DATE-TIME:20210217T111500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/7
DESCRIPTION:Title: The $L^4$-norm problem for newform Eisenstein series\
nby Jiakun Pan (Max Planck Institute for Mathematics\, Bonn) as part of R
ényi Institute Automorphic Forms Seminar\n\n\nAbstract\nLet $E$ be an Eis
enstein series of primitive nebentypus mod $N$. We reduce the regularised
fourth moment of $E$ to an average of automorphic $L$-functions\, for all
large $N$. The result is the level aspect analogue of the similar work by
Djanković and Khan.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Didier Lesesvre (Sun Yat-Sen University)
DTSTART;VALUE=DATE-TIME:20210414T070000Z
DTEND;VALUE=DATE-TIME:20210414T081500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/8
DESCRIPTION:Title: Hybrid subconvexity for $GL(3)$ $L$-functions\nby Did
ier Lesesvre (Sun Yat-Sen University) as part of Rényi Institute Automorp
hic Forms Seminar\n\n\nAbstract\nThe automorphic representations are one o
f the most important objects in modern number theory\, and a powerful appr
oach is to study them by analytic means\, through their associated $L$-fun
ctions. 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 result\, fru
it of a joint work with Mehmet Kiral and Chan Ieong Kuan. We provide a sub
convex bound in the case of $GL(3)$ automorphic forms twisted by a charact
er $\\chi$\, in the hybrid $(t\,\\chi)$ aspect.\n\nOur approach is based o
n 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://researchseminars.org/talk/AutomorphicFormsBudapest/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asbjørn Nordentoft (University of Bonn)
DTSTART;VALUE=DATE-TIME:20210421T090000Z
DTEND;VALUE=DATE-TIME:20210421T101500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/9
DESCRIPTION:Title: Wide moments of automorphic $L$-functions\nby Asbjør
n Nordentoft (University of Bonn) as part of Rényi Institute Automorphic
Forms Seminar\n\n\nAbstract\nIn this talk\, we will talk about how to calc
ulate certain types of "wide moments" of automorphic L-function\, which in
many cases can be calculated using geometrically flavoured methods due to
connections to automorphic periods.\n\nIn particular we will consider the
case of Rankin--Selberg $L$-functions of $GL_2$ automorphic forms twisted
by class group characters of imaginary quadratic fields\, in which case t
he "wide moments" are connected to equidistribution of Heegner points usin
g Waldspurger's formula. We will also present applications to non-vanishin
g.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yujiao Jiang (Shandong University)
DTSTART;VALUE=DATE-TIME:20210512T113000Z
DTEND;VALUE=DATE-TIME:20210512T124500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/10
DESCRIPTION:Title: Bombieri--Vinogradov theorem for $GL(n)$ automorphic $L$
-functions\nby Yujiao Jiang (Shandong University) as part of Rényi In
stitute Automorphic Forms Seminar\n\n\nAbstract\nThe celebrated Bombieri--
Vinogradov theorem states that the primes up to $x$ in arithmetic progress
ions modulo $q$ are well-distributed for all $q\\leq x^{1/2} / \\log^B x$\
, which shows that the GRH is true on average. In this talk\, we present a
unconditional generalization of Bombieri--Vinogradov theorem in the $GL(n
)$ automorphic context. In particular\, we give the same quality as the re
sult of Bombieri--Vinogradov when $n\\leq 4$. As applications\, we also di
scuss some shifted convolution problems at integers and primes. This is re
cent joint work with Guangshi Lü\, Jesse Thorner and Zihao Wang.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nina Zubrilina (Princeton University)
DTSTART;VALUE=DATE-TIME:20210707T150000Z
DTEND;VALUE=DATE-TIME:20210707T161500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/11
DESCRIPTION:Title: Convergence to Plancherel measure of Hecke eigenvalues\nby Nina Zubrilina (Princeton University) as part of Rényi Institute A
utomorphic Forms Seminar\n\n\nAbstract\nJoint work with Peter Sarnak. We g
ive rates\, uniform in the degrees of test polynomials\, of convergence of
Hecke eigenvalues to the $p$-adic Plancherel measure. We apply this to th
e question of eigenvalue tuple multiplicity and to a question of Serre con
cerning the factorization of the Jacobian of the modular curve $X_0(N)$.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Edgar Assing (University of Bonn)
DTSTART;VALUE=DATE-TIME:20211125T130000Z
DTEND;VALUE=DATE-TIME:20211125T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
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 Institute
Automorphic Forms Seminar\n\n\nAbstract\nThe sup-norm problem asks for goo
d upper bounds on the size of $L^2$-normalised eigenfunctions. In the sett
ing of automorphic forms on ${\\rm GL}_2$ the most studied case are spheri
cal Hecke-Maaß newforms of level $N$. Only very recently an in depth stud
y of non-spherical Hecke-Maaß forms was taken up by Blomer-Harcos-Maga-Mi
lićević. As an $p$-adic analogue of this we replace newforms by forms th
at lie in a small $p$-adic $K$-type. We can prove non-trivial sup-norm bou
nds on average over a basis of this $K$-type when its dimension grows. In
this talk we will make this statement precise and discuss some aspects of
its proof.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Zenz (McGill University)
DTSTART;VALUE=DATE-TIME:20211209T133000Z
DTEND;VALUE=DATE-TIME:20211209T144500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/13
DESCRIPTION:Title: Quantum variance for holomorphic Hecke cusp forms on the
vertical geodesic\nby Peter Zenz (McGill University) as part of Rény
i Institute Automorphic Forms Seminar\n\n\nAbstract\nIn this talk we explo
re a distribution result for holomorphic Hecke cusp forms on the vertical
geodesic. More precisely\, we show how to evaluate the quantum variance of
holomorphic Hecke cusp forms on the vertical geodesic for smooth\, compac
tly supported test functions. The variance is related to an averaged shift
ed-convolution problem that we evaluate asymptotically. We encounter an of
f-diagonal term that matches exactly with a certain diagonal term\, a feat
ure reminiscent of moments of $L$-functions. During the talk we also compa
re the quantum variance computation for the vertical geodesic with the cor
responding computation for the full fundamental domain and we highlight im
portant differences.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART;VALUE=DATE-TIME:20220106T130000Z
DTEND;VALUE=DATE-TIME:20220106T143000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/14
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexity I\nby Han Wu (Queen Mary University of London) as part of Rényi Institute
Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distributional v
ersion of Motohashi's formula by presenting a compact variant. Then we giv
e an application of the formula to the Weyl-type hybrid subconvexity for H
ecke 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 loca
l archimedean transformation formula from the cubic moment side to the fou
rth moment side\;\n\n (3) a bound of the local archimedean dual weight fun
ctions on the fourth moment side.\n\nDetails of (3) will be given. Other d
etails will be given according to the audience's interests if time permits
. Relations and differences of our methods with other methods in the liter
ature will be emphasized.\n\nJoint result with Olga Balkanova and Dmitry F
rolenkov.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART;VALUE=DATE-TIME:20220120T130000Z
DTEND;VALUE=DATE-TIME:20220120T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/15
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexity II\nby Han Wu (Queen Mary University of London) as part of Rényi Institut
e Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distributional
version of Motohashi's formula by presenting a compact variant. Then we gi
ve an application of the formula to the Weyl-type hybrid subconvexity for
Hecke characters of cube-free level over totally real number fields\, whic
h includes:\n\n (1) description of a large class of local admissible weigh
t functions at archimedean places on the cubic moment side\;\n\n (2) a loc
al archimedean transformation formula from the cubic moment side to the fo
urth moment side\;\n\n (3) a bound of the local archimedean dual weight fu
nctions 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 permit
s. Relations and differences of our methods with other methods in the lite
rature will be emphasized.\n\nJoint result with Olga Balkanova and Dmitry
Frolenkov.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olga Balkanova\, Dmitry Frolenkov (Steklov Mathematical Institute)
DTSTART;VALUE=DATE-TIME:20220203T130000Z
DTEND;VALUE=DATE-TIME:20220203T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/16
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexity III<
/a>\nby Olga Balkanova\, Dmitry Frolenkov (Steklov Mathematical Institute)
as part of Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\nWe s
hall give a distributional version of Motohashi's formula by presenting a
compact variant. Then we give an application of the formula to the Weyl-ty
pe hybrid subconvexity for Hecke characters of cube-free level over totall
y real number fields\, which includes:\n\n (1) description of a large clas
s 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 weight functions on the fourth moment side.\n\nDetails o
f (3) will be given. Other details will be given according to the audience
's interests if time permits. Relations and differences of our methods wit
h other methods in the literature will be emphasized.\n\nJoint result with
Han Wu.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Wu (Queen Mary University of London)
DTSTART;VALUE=DATE-TIME:20220217T130000Z
DTEND;VALUE=DATE-TIME:20220217T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/17
DESCRIPTION:Title: Motohashi's formula towards Weyl bound subconvexity IV\nby Han Wu (Queen Mary University of London) as part of Rényi Institut
e Automorphic Forms Seminar\n\n\nAbstract\nWe shall give a distributional
version of Motohashi's formula by presenting a compact variant. Then we gi
ve an application of the formula to the Weyl-type hybrid subconvexity for
Hecke characters of cube-free level over totally real number fields\, whic
h includes:\n\n (1) description of a large class of local admissible weigh
t functions at archimedean places on the cubic moment side\;\n\n (2) a loc
al archimedean transformation formula from the cubic moment side to the fo
urth moment side\;\n\n (3) a bound of the local archimedean dual weight fu
nctions 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 permit
s. Relations and differences of our methods with other methods in the lite
rature will be emphasized.\n\nJoint result with Olga Balkanova and Dmitry
Frolenkov.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joshua Stucky (Kansas State University)
DTSTART;VALUE=DATE-TIME:20220303T150000Z
DTEND;VALUE=DATE-TIME:20220303T161500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/18
DESCRIPTION:Title: The sixth moment of automorphic $L$-functions\nby Jo
shua Stucky (Kansas State University) as part of Rényi Institute Automorp
hic Forms Seminar\n\n\nAbstract\nMoments of $L$-functions are among the ce
ntral objects of study in modern analytic number theory. In this talk I wi
ll discuss my recent results concerning the sixth moment of a family of $G
L(2)$ automorphic $L$-functions. After a brief introduction to this family
of $L$-functions\, I will explain the proof of my result in some detail\,
focusing on the main ideas of the proof as well as a few of the technical
aspects.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhi Qi (Zhejiang University)
DTSTART;VALUE=DATE-TIME:20220317T130000Z
DTEND;VALUE=DATE-TIME:20220317T141500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/19
DESCRIPTION:Title: Asymptotic for the cubic moment of Maass form L-Function
s\nby Zhi Qi (Zhejiang University) as part of Rényi Institute Automor
phic Forms Seminar\n\n\nAbstract\nIn this talk\, I will talk about the cub
ic moment of cerntral L-values for Maass forms. It was studied by Aleksand
ar Ivić at the beginning of this century\, obtaining asymptotic on the lo
ng interval [0\, T] with error term $O(T^{8/7+\\epsilon})$ and Lindelöf-o
n-average bound on the short window [T-M\, T+M] for M as small as $T^{\\ep
silon}$. Ivić's results are improved in my recent work\; in particular\,
Ivić's conjectured error term $O (T^{1+\\epsilon})$ is proven. Our proof
follows the standard Kuznetsov--Voronoi approach stemed from the work of C
onrey and Iwaniec. Our main new idea is a combination of the methods of Xi
aoqing Li and Young.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ramon M. Nunes (Universidade Federal do Ceará)
DTSTART;VALUE=DATE-TIME:20220331T120000Z
DTEND;VALUE=DATE-TIME:20220331T131500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/20
DESCRIPTION:Title: Integral representations of $L$-functions and spectral i
dentities\nby Ramon M. Nunes (Universidade Federal do Ceará) as part
of Rényi Institute Automorphic Forms Seminar\n\n\nAbstract\nIn recent yea
rs a lot of attention has been given to the study of spectral identities b
etween moments of automorphic $L$-functions. Besides their intrinsic beaut
y\, these formulas are also very powerful as one is able to deduce interes
ting information about moments without performing a delicate study of the
geometric side of a trace formula. In this talk I will show some instances
of spectral identities in the literature and show a recent result obtaine
d jointly with Subhajit Jana on a higher rank spectral identity which rela
tes mixed moments of certain Rankin--Selberg L-functions on $GL(n)$.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bingrong Huang (Shandong University)
DTSTART;VALUE=DATE-TIME:20220428T120000Z
DTEND;VALUE=DATE-TIME:20220428T131500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/21
DESCRIPTION:Title: Uniform bounds for $GL(3)\\times GL(2)$ $L$-functions\nby Bingrong Huang (Shandong University) as part of Rényi Institute Aut
omorphic Forms Seminar\n\n\nAbstract\nIn this talk\, I will introduce the
subconvexity problem of $L$-functions and some results on $GL(3)$ and $GL(
3)\\times GL(2)$ $L$-functions. I will also give a sketch proof of uniform
bounds for $GL(3)\\times GL(2)$ $L$-functions in the $t$ and $GL(2)$ spec
tral aspects.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Radu Toma (University of Bonn)
DTSTART;VALUE=DATE-TIME:20220505T120000Z
DTEND;VALUE=DATE-TIME:20220505T131500Z
DTSTAMP;VALUE=DATE-TIME:20230208T065543Z
UID:AutomorphicFormsBudapest/22
DESCRIPTION:Title: Hybrid sup-norm bounds for automorphic forms in higher r
ank\nby Radu Toma (University of Bonn) as part of Rényi Institute Aut
omorphic Forms Seminar\n\n\nAbstract\nA hybrid bound for the sup-norm of a
utomorphic forms is a bound uniform in the eigenvalue and the volume aspec
t simultaneously. In this talk\, I will discuss a method of proving hybrid
bounds for Hecke-Maass forms on compact quotients $\\Gamma \\backslash \\
operatorname{SL}(n\, \\mathbb{R}) / \\operatorname{SO}(n)$\, where $\\Gamm
a$ is the unit group of an order in a central simple division algebra over
$\\mathbb{Q}$\, and $n$ is prime. The bounds feature uniformity in the fu
ll covolume of $\\Gamma$ and an explicit power-saving over what is conside
red the local bound. By restricting to a certain family of orders (of Eich
ler type)\, we also obtain partial results when $n$ is an arbitrary odd nu
mber.\n
LOCATION:https://researchseminars.org/talk/AutomorphicFormsBudapest/22/
END:VEVENT
END:VCALENDAR