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BEGIN:VEVENT
SUMMARY:Alexander Ivanov (Ruhr-Universität Bochum)
DTSTART;VALUE=DATE-TIME:20240923T200000Z
DTEND;VALUE=DATE-TIME:20240923T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/1
DESCRIPTION:Title: p-a
dic Deligne--Lusztig spaces\nby Alexander Ivanov (Ruhr-Universität Bo
chum) as part of Boston University Number Theory Seminar\n\nLecture held i
n CDS Room 365 in Boston University.\n\nAbstract\nI explain how to carry o
ver some definitions and results from classical Deligne--Luzstig theory (f
or reductive groups over finite fields) to a setup over p-adic fields. Mor
e precisely\, I discuss p-adic Deligne--Lusztig spaces\, defined as certai
n arc-sheaves on perfect algebras over the residue field\, as well as some
of their geometric properties. In some cases\, one can determine the coho
mology of these spaces\, and use it to construct smooth representations of
p-adic reductive groups geometrically.\n
LOCATION:https://researchseminars.org/talk/NTBU/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jerson Caro (Boston University)
DTSTART;VALUE=DATE-TIME:20240909T200000Z
DTEND;VALUE=DATE-TIME:20240909T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/2
DESCRIPTION:Title: Dio
phantine properties for the special values of Dedekind zeta functions\
nby Jerson Caro (Boston University) as part of Boston University Number Th
eory Seminar\n\nLecture held in CDS Room 365 in Boston University.\n\nAbst
ract\nAccording to Nothcott's theorem\, any set of algebraic numbers of bo
unded height and bounded degree is finite. Analogous finiteness properties
are also satisfied by many other heights\, such as the Faltings height. G
iven the many conjectural links between heights and special values of L-fu
nctions (with the BSD conjecture as the most remarkable example)\, it is n
atural to ask whether special values of L-functions satisfy a similar Nort
hcott property. In this talk\, we will outline joint work in progress with
Fabien Pazuki and Riccardo Pengo that shows the Northcott property does n
ot hold for the Dedekind zeta function at 1/2.\n
LOCATION:https://researchseminars.org/talk/NTBU/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Bertoloni-Meli (Boston University)
DTSTART;VALUE=DATE-TIME:20240916T200000Z
DTEND;VALUE=DATE-TIME:20240916T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/3
DESCRIPTION:Title: The
categorical conjecture and cuspidal sheaves\nby Alexander Bertoloni-M
eli (Boston University) as part of Boston University Number Theory Seminar
\n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\nI will
discuss the categorical conjecture of Fargues and Scholze and describe wo
rk in progress with Teruhisa Koshikawa to explicate structures on the Galo
is side. In particular\, I will describe a category of cuspidal sheaves on
the stack of L-parameters and show how it explicates some classical pheno
mena.\n
LOCATION:https://researchseminars.org/talk/NTBU/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sameera Vemulapalli (Harvard University)
DTSTART;VALUE=DATE-TIME:20240930T200000Z
DTEND;VALUE=DATE-TIME:20240930T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/4
DESCRIPTION:Title: Ste
initz classes of number fields and Tschirnhausen bundles of covers of the
projective line\nby Sameera Vemulapalli (Harvard University) as part o
f Boston University Number Theory Seminar\n\nLecture held in CDS Room 365
in Boston University.\n\nAbstract\nGiven a number field extension $L/K$ of
fixed degree\, one may consider $\\mathcal{O}_L$ as an $\\mathcal{O}_K$-m
odule. Which modules arise this way? Analogously\, in the geometric settin
g\, a cover of the complex projective line by a smooth curve yields a vect
or bundle on the projective line by pushforward of the structure sheaf\; w
hich bundles arise this way? In this talk\, I'll describe recent work with
Vakil in which we use tools in arithmetic statistics (in particular\, bin
ary forms) to completely answer the first question and make progress towar
ds the second.\n
LOCATION:https://researchseminars.org/talk/NTBU/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Colby Brown (UC Davis)
DTSTART;VALUE=DATE-TIME:20241007T200000Z
DTEND;VALUE=DATE-TIME:20241007T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/5
DESCRIPTION:Title: An
almost linear time algorithm testing whether the Markoff graph modulo $p$
is connected\nby Colby Brown (UC Davis) as part of Boston University N
umber Theory Seminar\n\nLecture held in CDS Room 365 in Boston University.
\n\nAbstract\nThe Markoff graph modulo p is known to be connected for all
but finitely many primes p (see Eddy\, Fuchs\, Litman\, Martin\, Tripeny\,
and Vanyo [arXiv:2308.07579])\, and it is conjectured that these graphs a
re connected for all primes. In this talk\, we outline an algorithmic real
ization of the process introduced by Bourgain\, Gamburd\, and Sarnak [arXi
v:1607.01530] to test whether the Markoff graph modulo p is connected for
arbitrary primes. Our algorithm runs in o(p1+ϵ) time for every ϵ>0. Our
algorithm confirms that the Markoff graph modulo p is connected for all pr
imes less than one million.\n
LOCATION:https://researchseminars.org/talk/NTBU/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Benedetto (Amherst College)
DTSTART;VALUE=DATE-TIME:20241021T200000Z
DTEND;VALUE=DATE-TIME:20241021T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/6
DESCRIPTION:Title: Arb
oreal Galois groups with colliding critical points\nby Rob Benedetto (
Amherst College) as part of Boston University Number Theory Seminar\n\nLec
ture held in CDS Room 548 in Boston University (*NOT the usual room for th
e semester*).\n\nAbstract\nLet $f\\in K(z)$ be a rational function of degr
ee $d\\geq 2$ defined over a field $K$ (usually $\\mathbb{Q}$)\, and let $
x_0\\in K$. The backward orbit of $x_0$\, which is the union of the iterat
ed preimages $f^{-n}(x_0)$\, has the natural structure of a $d$-ary rooted
tree. Thus\, the Galois groups of the fields generated by roots of the eq
uations $f^n(z)=x_0$ are known as arboreal Galois groups. In 2013\, Pink o
bserved that when $d=2$ and the two critical points $c_1\,c_2$ of $f$ coll
ide\, meaning that $f^m(c_1)=f^m(c_2)$ for some $m\\geq 1$\, then the arbo
real Galois groups are strictly smaller than the full automorphism group o
f the tree. We study these arboreal Galois groups when $K$ is a number fie
ld and $f$ is either a quadratic rational function (as in Pink's setting o
ver function fields) or a cubic polynomial with colliding critical points.
We describe the maximum possible Galois groups in these cases\, and we pr
esent sufficient conditions for these maximum groups to be attained.\n\nJo
int BU Number Theory and Dynamics seminar. Note the non-standard room.\n
LOCATION:https://researchseminars.org/talk/NTBU/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matt Broe (Boston University)
DTSTART;VALUE=DATE-TIME:20241028T200000Z
DTEND;VALUE=DATE-TIME:20241028T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/7
DESCRIPTION:Title: The
Tate conjecture for a power of a CM elliptic curve\nby Matt Broe (Bos
ton University) as part of Boston University Number Theory Seminar\n\nLect
ure held in CDS Room 365 in Boston University.\n\nAbstract\nThe endomorphi
sms of an abelian variety $A$ over a field $k$ induce a natural decomposit
ion of the Chow motive of $A$. For $E$ an elliptic curve over $k$ with com
plex multiplication\, we explicitly describe the decomposition of the moti
ve of $E^g$. When $k$ is finitely generated\, we use the decomposition to
prove the full Tate conjecture for $E^g$. When $k$ is a global function fi
eld\, we formulate a version of the Beilinson-Bloch conjecture for varieti
es over $k$ and prove it in some special cases\, including for powers of a
n isotrivial elliptic curve.\n
LOCATION:https://researchseminars.org/talk/NTBU/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cecilia Salgado (University of Groningen and IAS)
DTSTART;VALUE=DATE-TIME:20241104T210000Z
DTEND;VALUE=DATE-TIME:20241104T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/8
DESCRIPTION:by Cecilia Salgado (University of Groningen and IAS) as part o
f Boston University Number Theory Seminar\n\nLecture held in CDS Room 365
in Boston University.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sheela Devadas
DTSTART;VALUE=DATE-TIME:20241111T210000Z
DTEND;VALUE=DATE-TIME:20241111T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/9
DESCRIPTION:by Sheela Devadas as part of Boston University Number Theory S
eminar\n\nLecture held in CDS Room 365 in Boston University.\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/NTBU/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linli Shi (University of Connecticut)
DTSTART;VALUE=DATE-TIME:20241118T210000Z
DTEND;VALUE=DATE-TIME:20241118T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/10
DESCRIPTION:by Linli Shi (University of Connecticut) as part of Boston Uni
versity Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston Un
iversity.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linus Hamann (Harvard University)
DTSTART;VALUE=DATE-TIME:20241125T210000Z
DTEND;VALUE=DATE-TIME:20241125T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/11
DESCRIPTION:by Linus Hamann (Harvard University) as part of Boston Univers
ity Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston Univer
sity.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241202T210000Z
DTEND;VALUE=DATE-TIME:20241202T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/12
DESCRIPTION:by TBA as part of Boston University Number Theory Seminar\n\nL
ecture held in CDS Room 365 in Boston University.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241209T210000Z
DTEND;VALUE=DATE-TIME:20241209T220000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/13
DESCRIPTION:by TBA as part of Boston University Number Theory Seminar\n\nL
ecture held in CDS Room 365 in Boston University.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arnaud Eteve (MPIM)
DTSTART;VALUE=DATE-TIME:20250317T200000Z
DTEND;VALUE=DATE-TIME:20250317T210000Z
DTSTAMP;VALUE=DATE-TIME:20241016T071253Z
UID:NTBU/14
DESCRIPTION:by Arnaud Eteve (MPIM) as part of Boston University Number The
ory Seminar\n\nLecture held in CDS Room 365 in Boston University.\nAbstrac
t: TBA\n
LOCATION:https://researchseminars.org/talk/NTBU/14/
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