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BEGIN:VEVENT
SUMMARY:Jan Vonk (Leiden)
DTSTART;VALUE=DATE-TIME:20220302T080000Z
DTEND;VALUE=DATE-TIME:20220302T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070015Z
UID:IwasawaTheoryAndpadicLfunctions/1
DESCRIPTION:Title: Triple product periods in RM theory I\nby Jan
Vonk (Leiden) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstra
ct\nIn these two talks\, I will talk about recent progress on p-adic analo
gues of CM theory\, for real quadratic fields. The emphasis will be on tri
ple product periods\, a set of invariants including (but not limited to) G
ross-Stark units\, Stark-Heegner points\, and RM singular moduli.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Vonk (Leiden)
DTSTART;VALUE=DATE-TIME:20220309T080000Z
DTEND;VALUE=DATE-TIME:20220309T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070015Z
UID:IwasawaTheoryAndpadicLfunctions/2
DESCRIPTION:Title: Triple product periods in RM theory II\nby Jan
Vonk (Leiden) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstr
act\nIn these two talks\, I will talk about recent progress on p-adic anal
ogues of CM theory\, for real quadratic fields. The emphasis will be on tr
iple product periods\, a set of invariants including (but not limited to)
Gross-Stark units\, Stark-Heegner points\, and RM singular moduli.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chan-Ho Kim (KIAS)
DTSTART;VALUE=DATE-TIME:20220316T080000Z
DTEND;VALUE=DATE-TIME:20220316T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070015Z
UID:IwasawaTheoryAndpadicLfunctions/3
DESCRIPTION:Title: A structural refinement of Birch and Swinnerton-Dy
er conjecture\nby Chan-Ho Kim (KIAS) as part of Iwasawa theory and p-a
dic L-functions\n\n\nAbstract\nWe discuss how the structure of Selmer grou
ps of elliptic curves can be described in terms of certain modular symbols
from the viewpoint of refined Iwasawa theory.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Jorza (Notre Dame)
DTSTART;VALUE=DATE-TIME:20220323T030000Z
DTEND;VALUE=DATE-TIME:20220323T040000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070015Z
UID:IwasawaTheoryAndpadicLfunctions/4
DESCRIPTION:Title: $p$-adic $L$-functions\nby Andrei Jorza (Notre
Dame) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstract\n$p$
-adic $L$-functions have been essential\, in the last decades\, in proving
instances of the Birch and Swinnerton-Dyer and Bloch-Kato conjectures. In
this general talk\, I will explain what $p$-adic $L$-functions are\, and
how they appear in connection with $p$-adic families of modular forms\, fo
cusing on the case of GL(2). The Taylor expansion of $p$-adic $L$-function
s in $p$-adic families\, was crucial in proving the trivial zero conjectur
e in Barrera-Dimitrov-Jorza\, and we will explore a few such intriguing ex
amples of Taylor expansions.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chung Pang Mok (Soochow)
DTSTART;VALUE=DATE-TIME:20220330T030000Z
DTEND;VALUE=DATE-TIME:20220330T040000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/5
DESCRIPTION:Title: Pseudorandom Vectors Generation Using Elliptic Cur
ves And Applications to Wiener Processes\nby Chung Pang Mok (Soochow)
as part of Iwasawa theory and p-adic L-functions\n\n\nAbstract\nUsing the
arithmetic of elliptic curves over finite fields\, we present an algorithm
for the efficient generation of sequence of uniform pseudorandom vectors
in high dimension with long period\, that simulates sample sequence of a s
equence of independent identically distributed random variables\, with val
ues in the hypercube $[0\,1]^d$ with uniform distribution. As an applicati
on\, we obtain\, in the discrete time simulation\, an efficient algorithm
to simulate\, uniformly distributed sample path sequence of a sequence of
independent standard Wiener processes.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Jorza (Notre Dame)
DTSTART;VALUE=DATE-TIME:20220331T030000Z
DTEND;VALUE=DATE-TIME:20220331T040000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/6
DESCRIPTION:Title: $p$-adic $L$-functions for cuspidal representation
s of GL(2n) having Shalika models\nby Andrei Jorza (Notre Dame) as par
t of Iwasawa theory and p-adic L-functions\n\n\nAbstract\nIn this second t
alk on $p$-adic $L$-functions we will discuss recent results on the constr
uction of $p$-adic $L$-functions for cuspidal representations on GL(2n) wh
ich admit Shalika models. In ongoing work with Barrera\, Dimitrov\, Graham
\, and Williams\, we have constructed such $p$-adic $L$-functions in $p$-a
dic families. These $p$-adic $L$-functions have recently been used by Loef
fler and Zerbes to prove instances of Bloch-Kato.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Meng Fai Lim (Central China Normal University)
DTSTART;VALUE=DATE-TIME:20220406T080000Z
DTEND;VALUE=DATE-TIME:20220406T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/7
DESCRIPTION:Title: On growth of arithmetic objects in tower of number
fields\nby Meng Fai Lim (Central China Normal University) as part of
Iwasawa theory and p-adic L-functions\n\n\nAbstract\nThe essence of Iwasaw
a theory is to study arithmetic objects via their variations in a tower of
number fields. The theory was first initated by Iwasawa in the 1960s to s
tudy the growth of the Sylow p-subgroup of the class groups in the interme
diate subfields of a Zp-extension of a number field F. The study has since
been extended to considering even K-groups\, Mordell-Weil groups\, Tate-S
hafarevich groups\, fine Selmer groups\, etale wild kernels and various ar
ithmetic objects over a p-adic Lie extension. In this talk\, we hope to gi
ve an overview and survey of these development.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Wan (Morningside)
DTSTART;VALUE=DATE-TIME:20220413T080000Z
DTEND;VALUE=DATE-TIME:20220413T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/12
DESCRIPTION:Title: Iwasawa main conjecture for universal families\nby Xin Wan (Morningside) as part of Iwasawa theory and p-adic L-functio
ns\n\n\nAbstract\nWe formulate and prove an Iwasawa main conjecture for mo
dular motives over the universal family of p-adic Langlands. From it we de
duce Kato's Iwasawa main conjecture for modular forms without any assumpti
on on the level group at p\, and the BSD formula for rank 0 elliptic curve
s at primes of additive reduction. This is joint work with Olivier Fouquet
.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamish Gilmore (Waikato)
DTSTART;VALUE=DATE-TIME:20220420T030000Z
DTEND;VALUE=DATE-TIME:20220420T040000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/13
DESCRIPTION:Title: L-invariants attached to the symmetric square of
an elliptic curve\nby Hamish Gilmore (Waikato) as part of Iwasawa theo
ry and p-adic L-functions\n\n\nAbstract\nIn this talk\, I will describe th
e algebraic and analytic $\\mathcal{L}$-invariants attached to the symmetr
ic square of an elliptic curve. I will also present an algorithm to comput
e the analytic $\\mathcal{L}$-invariant\, and some computational results f
or elliptic curves of small conductor. This is joint work with Daniel Delb
ourgo.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takashi Hara (Tsuda)
DTSTART;VALUE=DATE-TIME:20220427T080000Z
DTEND;VALUE=DATE-TIME:20220427T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/14
DESCRIPTION:Title: On p-adic Artin L-functions for CM fields\nby
Takashi Hara (Tsuda) as part of Iwasawa theory and p-adic L-functions\n\n
\nAbstract\nWe explain how to construct p-adic Artin L-functions for (p-or
dinary) CM fields\, \nwhich interpolate critical values of Hecke L-functio
ns twisted by a fixed Artin representation. \nOur strategy is based upon G
reenberg's patching construction of p-adic Artin L-functions for totally r
eal fields\,\nbut one observes new phenomena and difficulties in the CM ca
se.\nIn this talk we would especially focus on differences between Greenbe
rg's work and ours.\nThis is joint work with Tadashi Ochiai.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Williams (Warwick)
DTSTART;VALUE=DATE-TIME:20220504T080000Z
DTEND;VALUE=DATE-TIME:20220504T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/15
DESCRIPTION:Title: p-adic L-functions for GL(3)\nby Chris Willia
ms (Warwick) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstrac
t\nLet $\\pi$ be a p-ordinary cohomological cuspidal automorphic represent
ation of GL$(n\,A_Q)$. A conjecture of Coates--Perrin-Riou predicts that t
he (twisted) critical values of its $L$-function $L(\\pi x\\chi\,s)$\, for
Dirichlet characters $\\chi$ of $p$-power conductor\, satisfy systematic
congruence properties modulo powers of $p$\, captured in the existence of
a $p$-adic $L$-function. For $n = 1\,2$ this conjecture has been known for
decades\, but for $n > 2$ it is known only in special cases\, e.g. symmet
ric squares of modular forms\; and in all previously known cases\, $\\pi$
is a functorial transfer via a proper subgroup of GL($n$). In this talk\,
I will explain what a p-adic L-function is\, state the conjecture more pre
cisely\, and then describe recent joint work with David Loeffler\, in whic
h we prove this conjecture for $n=3$ (without any transfer or self-duality
assumptions).\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dohyeong Kim (Seoul)
DTSTART;VALUE=DATE-TIME:20220511T080000Z
DTEND;VALUE=DATE-TIME:20220511T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/16
DESCRIPTION:Title: Iwasawa theory and Selmer schemes I\nby Dohye
ong Kim (Seoul) as part of Iwasawa theory and p-adic L-functions\n\n\nAbst
ract\nSelmer schemes generalize Selmer groups by allowing non-abelian coef
ficients. Given the success of Iwasawa theory in the study of Selmer group
s\, it is natural to wonder whether its non-abelian analogue can be analyz
ed using similar tools. In the first talk\, I will build upon Sakugawa's w
ork on torsion Selmer pointed sets and extend his result. In the second ta
lk\, I will focus on the elliptic case of the non-abelian Chabauty method.
I will explain how a p-adic L-function can help us verify new cases of th
e dimension hypothesis.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dohyeong Kim (Seoul)
DTSTART;VALUE=DATE-TIME:20220518T080000Z
DTEND;VALUE=DATE-TIME:20220518T090000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070016Z
UID:IwasawaTheoryAndpadicLfunctions/17
DESCRIPTION:Title: Iwasawa theory and Selmer schemes II\nby Dohy
eong Kim (Seoul) as part of Iwasawa theory and p-adic L-functions\n\n\nAbs
tract\nSelmer schemes generalize Selmer groups by allowing non-abelian coe
fficients. Given the success of Iwasawa theory in the study of Selmer grou
ps\, it is natural to wonder whether its non-abelian analogue can be analy
zed using similar tools. In the first talk\, I will build upon Sakugawa's
work on torsion Selmer pointed sets and extend his result. In the second t
alk\, I will focus on the elliptic case of the non-abelian Chabauty method
. I will explain how a p-adic L-function can help us verify new cases of t
he dimension hypothesis.\n
LOCATION:https://researchseminars.org/talk/IwasawaTheoryAndpadicLfunctions
/17/
END:VEVENT
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