BEGIN:VCALENDAR
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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Giada Grossi
DTSTART:20201019T113000Z
DTEND:20201019T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/1
DESCRIPTION:Title: The p-part of BSD for rational elliptic curves at Eisenstein primes.<
/a>\nby Giada Grossi as part of HUJI-BGU Number Theory Seminar\n\n\nAbstra
ct\nLet E be an elliptic curve over the rationals and p an odd prime such
that E admits a rational p-isogeny satisfying some assumptions. In a joint
work with F. Castella\, J. Lee and C. Skinner\, we study the anticycloto
mic Iwasawa theory for E/K for some suitable quadratic imaginary field K.
I will explain our strategy and how our results\, combined with complex an
d p-adic Gross-Zagier formulae\, allow us to prove a p-converse to the the
orem of Gross--Zagier and Kolyvagin and the p-part of the Birch-Swinnerton
--Dyer formula in analytic rank\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Maynard
DTSTART:20201026T123000Z
DTEND:20201026T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/2
DESCRIPTION:Title: Title: The Duffin-Schaeffer Conjecture\nby James Maynard as part
of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nHow well can you approxim
ate real numbers by rationals with denominators coming from a given set? A
lthough this old question has applications in many areas\, in general this
question seems impossibly hard - we don’t even know whether e+pi is rat
ional or not!\n\nIf you allow for a tiny number of bad exceptions\, then a
beautiful dichotomy occurs - either almost everything can be approximated
or almost nothing. I’ll talk about this problem and recent joint work w
ith Dimitris Koukoulopoulos which classifies when these options occur\, an
swering an old question of Duffin and Schaeffer. This relies on a fun blen
d of different ideas\, including ergodic theory\, analytic number theory a
nd graph theory.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cong Xue
DTSTART:20201102T123000Z
DTEND:20201102T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/3
DESCRIPTION:Title: Title: Smoothness of the cohomology sheaves of stacks of shtukas\
nby Cong Xue as part of HUJI-BGU Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Liu
DTSTART:20201109T123000Z
DTEND:20201109T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/4
DESCRIPTION:Title: Beilinson-Bloch conjecture and arithmetic inner product formula\n
by Yifeng Liu as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nIn
this talk\, we study the Chow group of the motive associated to a tempered
global L-packet \\pi of unitary groups of even rank with respect to a CM
extension\, whose global root number is -1. We show that\, under some rest
rictions on the ramification of \\pi\, if the central derivative L'(1/2\,\
\pi) is nonvanishing\, then the \\pi-nearly isotypic localization of the C
how group of a certain unitary Shimura variety over its reflex field does
not vanish. This proves part of the Beilinson--Bloch conjecture for Chow g
roups and L-functions. Moreover\, assuming the modularity of Kudla's gener
ating functions of special cycles\, we explicitly construct elements in a
certain \\pi-nearly isotypic subspace of the Chow group by arithmetic thet
a lifting\, and compute their heights in terms of the central derivative L
'(1/2\,\\pi) and local doubling zeta integrals. This is a joint work with
Chao Li.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Sartori (TAU)
DTSTART:20201116T123000Z
DTEND:20201116T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/5
DESCRIPTION:Title: Spectral quasi-correlations and Arithmetic Random Waves.\nby Andr
ea Sartori (TAU) as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\n
Spectral quasi-correlations are small sums of lattice points lying on the
same circle. In this talk\, I will first describe how these sums naturally
arise in the study of the small scales behaviour of (random) Laplace eige
nfunctions on the standard 2 dimensional torus\, also known as Arithmetic
Random Waves. I will then discuss how to obtain bounds on the said sums us
ing the geometry of numbers and what these bounds tell us about Arithmetic
Random Waves.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yunqing Tang
DTSTART:20201123T123000Z
DTEND:20201123T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/6
DESCRIPTION:Title: Reductions of K3 surfaces via intersections on GSpin Shimura varietie
s.\nby Yunqing Tang as part of HUJI-BGU Number Theory Seminar\n\n\nAbs
tract\nFor a K3 surface X over a number field with potentially good reduct
ion everywhere\, we prove that there are infinitely many primes modulo whi
ch the reduction of X has larger geometric Picard rank than that of the ge
neric fiber X. A similar statement still holds true for ordinary K3 surfac
es with potentially good reduction everywhere over global function fields.
In this talk\, I will present the proofs via the (arithmetic) intersectio
n theory on good integral models (and its special fibers) of GSpin Shimura
varieties along with a potential application to a certain case of the Hec
ke orbit conjecture of Chai and Oort. This talk is based on joint work wit
h Ananth Shankar\, Arul Shankar\, and Salim Tayou and with Davesh Maulik a
nd Ananth Shankar.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Natalia Cristina Garcia Fritz
DTSTART:20201130T123000Z
DTEND:20201130T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/7
DESCRIPTION:Title: Progress of Vojta's conjecture over function fields with a descriptio
n of the exceptional set\nby Natalia Cristina Garcia Fritz as part of
HUJI-BGU Number Theory Seminar\n\n\nAbstract\nIn this talk we will present
some unconditional progress on Vojta's conjecture on surfaces with trunca
ted counting functions in the function field setting. In the cases that we
consider\, these results provide an explicit description of the exception
al set.\nThe approach involves a local study of omega-integral curves and
global estimates for intersection numbers. This builds on our earlier work
regarding the explicit computation of the exceptional set in the context
of the Bombieri-Lang conjecture\, extending ideas by Vojta and Bogomolov.\
n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tal Horesh
DTSTART:20201207T123000Z
DTEND:20201207T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/8
DESCRIPTION:Title: Distribution of primitive lattices and flags of lattices in Z^n\n
by Tal Horesh as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nPri
mitive lattices in Z^n are a generalization of the concept of primitive ve
ctors: a rank d subgroup of Z^n is called primitive if there is no other s
ubgroup of the same rank that properly contains it. In two papers from 199
8 and from 2015\, Schmidt proved a counting statement for primitive lattic
es of any rank 1 < d < n\, taking into account their shapes (similarity cl
asses modulo rotation and re-scaling\, namely projections into SO(d)\\SLd(
R)/SLd(Z))\, and directions (the subspaces that they span\, namely project
ions into the Grassmannian GR(d\,n)). We extend upon this counting stateme
nt\, and also consider the shapes of the orthogonal complements of these l
attices. Moreover\, we introduce the concept of flags of primitive lattice
s\, and extend this counting statement to them as well.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michele Fornea
DTSTART:20201214T143000Z
DTEND:20201214T154000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/9
DESCRIPTION:Title: The arithmetic of plectic Jacobians\nby Michele Fornea as part of
HUJI-BGU Number Theory Seminar\n\n\nAbstract\nHeegner points play a pivot
al role in our understanding of the arithmetic of modular elliptic curves.
They control the Mordell-Weil group of elliptic curves of rank 1\, and th
ey arise as CM points on Jacobians of Shimura curves. \nThe work of Bertol
ini\, Darmon and their schools has shown that p-adic methods can be succes
sfully employed to generalize the definition of Heegner points to quadrati
c extension that are not necessarily CM. Notably\, Guitart\, Masdeu and Se
ngun have defined and numerically computed Stark-Heegner (SH) points in gr
eat generality. Their computations strongly support the belief that SH poi
nts completely control the Mordell-Weil group of elliptic curves of rank 1
.\n\nInspired by Nekovar and Scholl’s plectic conjectures\, Lennart Gehr
mann and I recently proposed a plectic generalization of SH points: a coho
mological construction of local points on elliptic curves that conjectural
ly control Mordell-Weil groups of higher rank. In this talk\, focusing on
the quadratic CM case\, I will present an alternative speculative framewor
k that can be used to cast the definition of plectic Heegner points in geo
metric terms.\n\nplease note the unusual time\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tung Nguyen
DTSTART:20201221T143000Z
DTEND:20201221T154000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/10
DESCRIPTION:Title: Heights and Tamagawa number of motives.\nby Tung Nguyen as part
of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nThe class number formula
is an inspiring pillar of number theory. By the work of many mathematician
s\, notably Deligne\, Beilinson\, Bloch\, Kato\, Fontaine\, Perrin-Riou\,
Jannsen\, and many others\, we now have a quite general (conjectural) clas
s number formulas for motives\, i.e.\, the Tamagawa number conjecture of B
loch-Kato. Recently\, Kato has proposed a new approach to this problem usi
ng heights of motives. In this talk\, we will give an overview of this app
roach. In particular\, we will show a precise relation between heights to
Tamagawa numbers of motives. We also partially answer some of Kato's quest
ions about the number of mixed motives of bounded heights in the case of m
ixed Tate motives.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arvind Kumar
DTSTART:20201228T123000Z
DTEND:20201228T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/11
DESCRIPTION:Title: Strong multiplicity one for Siegel cusp forms of degree two\nby
Arvind Kumar as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nThe
classical multiplicity one theorem has been strengthened significantly for
modular forms by Rajan. He has shown that if two normalized eigenforms ha
ve the same (normalized) Hecke eigenvalues for primes of positive upper de
nsity\, then one is the character twist of the other. This is called a str
ong multiplicity one theorem. The first result in the direction of multipl
icity one result for Siegel modular forms of degree two was obtained only
recently in 2018 by Schmidt. By following the approach of Rajan\, we will
prove a strong multiplicity one theorem for Siegel cuspidal eigenforms of
degree two and level one. The methods involve Galois representations assoc
iated to Siegel cusp forms\, a multiplicity one result for Galois represen
tations\, and finally the result due to Schmidt. This is based on joint wo
rk with J. Meher and K. D. Shankhadhar.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Shusterman
DTSTART:20210104T143000Z
DTEND:20210104T154000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/12
DESCRIPTION:by Mark Shusterman as part of HUJI-BGU Number Theory Seminar\n
\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:no seminar
DTSTART:20210111T123000Z
DTEND:20210111T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/13
DESCRIPTION:by no seminar as part of HUJI-BGU Number Theory Seminar\n\nAbs
tract: TBA\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Danny Neftin
DTSTART:20210315T123000Z
DTEND:20210315T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/14
DESCRIPTION:Title: The parametric dimension\nby Danny Neftin as part of HUJI-BGU Nu
mber Theory Seminar\n\n\nAbstract\nThe essential dimension measures the co
mplexity of algebraic objects. The parametric dimension\, an arithmetic an
alogue\, measures the complexity of those objects defined over the rationa
ls. We describe what appears to be a significant difference between the tw
o dimensions for field extensions and other algebraic objects.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Raum
DTSTART:20210322T123000Z
DTEND:20210322T134000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/15
DESCRIPTION:by Martin Raum as part of HUJI-BGU Number Theory Seminar\n\nAb
stract: TBA\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pol van Hoften
DTSTART:20210405T113000Z
DTEND:20210405T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/16
DESCRIPTION:Title: Mod p points on Shimura varieties of parahoric level\nby Pol van
Hoften as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nAbstract:
The conjecture of Langlands-Rapoport gives a conjectural description of t
he mod p points of Shimura varieties\, with applications towards computing
the (semi-simple) zeta function of these Shimura varieties. The conjectur
e was proven by Kisin for abelian type Shimura varieties at primes of (hyp
erspecial) good reduction\, after having constructed smooth integral model
s. For primes of (parahoric) bad reduction\, Kisin and Pappas have constru
cted a good integral model and the conjecture was generalised to this sett
ing by Rapoport. In this talk I will discuss recent results towards the co
njecture for these integral models\, under minor hypothesis\, building on
earlier work of Zhou. Along the way we will see irreducibility results for
various stratifications on special fibers of Shimura varieties\, includin
g irreducibility of central leaves and Ekedahl-Oort strata.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jef Laga
DTSTART:20210419T130000Z
DTEND:20210419T140000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/17
DESCRIPTION:Title: Rational points and Selmer groups of some families of genus 3 curves
and abelian surfaces\nby Jef Laga as part of HUJI-BGU Number Theory S
eminar\n\n\nAbstract\nManjul Bhargava and Arul Shankar have determined the
average size of the n-Selmer group of the family of all elliptic curves o
ver Q ordered by height\, for n at most 5. In this talk we will consider a
family of nonhyperelliptic genus 3 curves\, and bound the average size of
the 2-Selmer group of their Jacobians. This implies that a majority of cu
rves in this family have relatively few rational points. We also consider
a family of abelian surfaces which are not principally polarized and obtai
n similar results.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mahesh Kakde
DTSTART:20210426T113000Z
DTEND:20210426T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/18
DESCRIPTION:Title: On the Brumer—Stark conjecture and application to Hilbert’s 12th
problem\nby Mahesh Kakde as part of HUJI-BGU Number Theory Seminar\n\
n\nAbstract\nI will report on my joint work with Samit Dasgupta on the Bru
mer-Stark conjecture proving existence of the Brumer-Stark units and on a
conjecture of Dasgupta giving a p-adic analytic formula for these units. I
will present a sketch of our proof of the Brumer-Stark conjecture and als
o mention applications to Hilbert's 12th problem i.e. explicit class field
theory.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johannes Girsch
DTSTART:20210503T113000Z
DTEND:20210503T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/19
DESCRIPTION:Title: The Doubling Method in Algebraic Families\nby Johannes Girsch as
part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nLocal constants are
an important concept in the complex representation theory of reductive $p
$-adic groups\, for example they are pivotal in the formulation of the Loc
al Langlands correspondence. In recent years there has been progress in de
fining such constants for modular representations or in even more general
settings. For example\, Moss was able to define $\\gamma$-factors for repr
esentations of $\\GL_n(\\mathbb Q_p)$ with coefficients in general noether
ian rings and subsequently together with Helm was able to prove a converse
theorem\, which was crucial for the proof of the Local Langlands correspo
ndence in families for $\\GL_n$. The aim of this talk is to show how one c
an extend the Doubling Method of Piateski-Shapiro and Rallis to families o
f representations of classical groups. In this setting we will introduce a
nd prove a rationality result for the Doubling Zeta integrals. Subsequentl
y we will show that these zeta integrals satisfy a functional equation fro
m which one obtains $\\gamma$-factors.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olivier Fouquet
DTSTART:20210524T113000Z
DTEND:20210524T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/20
DESCRIPTION:Title: The Iwasawa Main Conjecture for modular motives (especially those wi
th very bad reduction)\nby Olivier Fouquet as part of HUJI-BGU Number
Theory Seminar\n\n\nAbstract\nAbstract: The Iwasawa Main Conjecture for mo
dular motives is a conjecture of Barry Mazur\, Ralph Greenberg and Kazuya
Kato describing the variation of special values of L-functions of eigencus
pforms under twists by cyclotomic characters. In this talk\, I will explai
n its statement and meaning as well as outline its proof (under mild hypot
hesis on the residual Galois representation)\, and especially how to deduc
e the conjecture in general from the case of good reduction. This is joint
work with Xin Wan.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jessica Fintzen
DTSTART:20210531T113000Z
DTEND:20210531T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/21
DESCRIPTION:Title: Representations of p-adic groups\nby Jessica Fintzen as part of
HUJI-BGU Number Theory Seminar\n\n\nAbstract\nThe Langlands program is a f
ar-reaching collection of conjectures that relate different areas of mathe
matics including number theory and representation theory. A fundamental pr
oblem on the representation theory side of the Langlands program is the co
nstruction of all (irreducible\, smooth\, complex or mod-$\\ell$) represen
tations of p-adic groups. I will provide an overview of our understanding
of the representations of p-adic groups\, with an emphasis on recent progr
ess\, and outline some applications.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlo Pagano
DTSTART:20210607T113000Z
DTEND:20210607T124000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/22
DESCRIPTION:Title: On the negative Pell conjecture\nby Carlo Pagano as part of HUJI
-BGU Number Theory Seminar\n\n\nAbstract\nHow often does the ring of integ
er of a real quadratic have a unit of negative norm? In 1995 Stevenhagen\,
refining a conjecture of Nagell\, proposed a conjectural asymptotic formu
la describing how many such real quadratic fields should be out there when
counted by discriminant. I will discuss an upcoming joint work with Peter
Koymans where we establish Stevenhagen's conjecture.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umberto Zannier
DTSTART:20210614T113000Z
DTEND:20210614T123000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/23
DESCRIPTION:Title: Abelian varieties not isogenous to any Jacobian\nby Umberto Zann
ier as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nIt is well kn
own that in dimension g\\ge 4\nthere exist complex abelian varieties not
isogenous to\n any Jacobian. A question of Katz and Oort asked whether\n
one can find such examples over the field of algebraic numbers.\n This wa
s answered affirmatively by Oort-Chai under the\n Andre'-Oort conjecture\
, and by Tsimerman unconditionally.\n They gave examples within Complex M
ultiplication.\n In joint work with Masser\, by means of a completely\n
different method\, we proved that in a sense the "general\n abelian varie
ty over \\overline\\Q is indeed not isogenous\n to any Jacobian. I shall i
llustrate the context and the\nbasic principles\n of the proofs.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tangli Ge
DTSTART:20210621T113000Z
DTEND:20210621T123000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/24
DESCRIPTION:Title: Uniformity of quadratic points\nby Tangli Ge as part of HUJI-BGU
Number Theory Seminar\n\n\nAbstract\nHarris-Silverman showed as a corolla
ry of Faltings’ Theorem in dimension two that a non-hyperelliptic non-bi
elliptic curve over some number field has only finitely many quadratic poi
nts. In this talk\, I will explain how to get a uniform bound on the numbe
r of quadratic points of such curves\, in terms of the Mordell-Weil ranks.
The result relies on the uniform Mordell-Lang conjecture in dimension two
. This is motivated by the recent work on the uniform Mordell-Lang conject
ure by Dimitrov-Gao-Habegger and Kühne. I will also briefly introduce the
uniformity conjecture in general\, as shown in a joint work with Ziyang G
ao and Lars Kühne.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Bruinier
DTSTART:20210628T113000Z
DTEND:20210628T123000Z
DTSTAMP:20260422T213048Z
UID:HUJI-BGU-NTS/25
DESCRIPTION:Title: CM values of higher automorphic Green functions\nby Jan Bruinier
as part of HUJI-BGU Number Theory Seminar\n\n\nAbstract\nThe automorphic
Green function for a modular curve $X$ is a function on\n$X\\times X$ with
a logarithmic singularity along the diagonal which is a\nresolvent kernel
of the hyperbolic Laplacian. It plays an important role\nin the analytic
theory of automorphic forms and in the Arakelov geometry\nof modular curve
s. Gross and Zagier conjectured that for positive integral\nspectral param
eter $s$ the values at CM points of certain linear\ncombinations of Hecke
translates of this Green function are given by\nlogarithms of algebraic nu
mbers in suitable class fields. In certain cases\nthis conjecture was prov
ed by Mellit and Viazovska. We report on joint\nwork with S. Ehlen and T.
Yang in which we establish new cases of the\nconjecture. We also discuss g
eneralizations to orthogonal groups of\nsignature $(n\,2)$ and possible ap
plications.\n
LOCATION:https://researchseminars.org/talk/HUJI-BGU-NTS/25/
END:VEVENT
END:VCALENDAR