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BEGIN:VEVENT
SUMMARY:Nick Rome (University of Bristol)
DTSTART:20200514T173000Z
DTEND:20200514T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/1
DESCRIPTION:Title: We
ak approximation on quadric surface bundles\nby Nick Rome (University
of Bristol) as part of MAGIC (Michigan - Arithmetic Geometry Initiative -
Columbia)\n\n\nAbstract\nWe investigate the distribution of rational point
s on certain biprojective varieties arising in recent work of Hassett\, Pi
rutka and Tschinkel. The method involves a combination of tools from algeb
raic geometry (the fibration method and Brauer--Manin obstruction) and ana
lytic number theory (detecting the solubility of fibres with character sum
s).\n
LOCATION:https://researchseminars.org/talk/MAGIC/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ananth Shankar (MIT -> Wisconsin)
DTSTART:20200521T173000Z
DTEND:20200521T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/2
DESCRIPTION:Title: Fi
niteness results for reductions of Hecke orbits\nby Ananth Shankar (MI
T -> Wisconsin) as part of MAGIC (Michigan - Arithmetic Geometry Initiativ
e - Columbia)\n\n\nAbstract\nI will talk about two finiteness results for
reductions of Hecke orbits of abelian varieties defined over finite extens
ions of Q_p\, as well as applications to CM lifts of abelian varieties def
ined over finite fields. This is joint work with Mark Kisin\, Joshua Lam a
nd Padmavathi Srinivasan.\n
LOCATION:https://researchseminars.org/talk/MAGIC/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Sutherland (MIT)
DTSTART:20200528T173000Z
DTEND:20200528T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/3
DESCRIPTION:Title: Co
mputing L-functions of modular curves\nby Andrew Sutherland (MIT) as p
art of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nA
bstract\nI will present a new algorithm for counting points on modular\ncu
rves over finite fields that is faster and more general than\nprevious met
hods\, building on ideas of Zywina that were exploited in our\nprior joint
work. A key feature of this algorithm is that it does not\nrequire a mod
el of the curve. I will then describe how this can be used\nto compute th
e L-function of the curve and an upper bound on the\nanalytic rank of its
Jacobian that is provably tight if it is less than\n2.\n
LOCATION:https://researchseminars.org/talk/MAGIC/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Koymans (Max Planck Institute)
DTSTART:20200618T173000Z
DTEND:20200618T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/4
DESCRIPTION:Title: In
tegral points on quadratic equations\nby Peter Koymans (Max Planck Ins
titute) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Colu
mbia)\n\n\nAbstract\nFix a prime number $l \\equiv 3 \\bmod 4$. In this ta
lk we study how often the equation $x^2 - dy^2 = l$ is soluble in integers
x and y as we vary $d$ over squarefree integers divisible by our fixed pr
ime $l$. We will discuss how this question can be rephrased in terms of th
e 2-part of the narrow class group of $\\mathbb{Q}(\\sqrt{d})$. Then we sk
etch how one can use the recent ideas of Alexander Smith to obtain the dis
tribution of these class groups. This is joint work with Carlo Pagano.\n
LOCATION:https://researchseminars.org/talk/MAGIC/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Feng (MIT)
DTSTART:20200611T173000Z
DTEND:20200611T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/5
DESCRIPTION:Title: Th
e Galois action on symplectic K-theory\nby Tony Feng (MIT) as part of
MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstract
\nInteresting Galois representations occur in the cohomology of arithmetic
groups. For example\, all Galois representations attached to elliptic cur
ves over Q arise in this way. It turns out that arithmetic geometry can be
used to construct a natural Galois action on a type of invariant called a
lgebraic K-theory\, which is closely related to the stable homology of ari
thmetic groups. I will explain this and joint work with Akshay Venkatesh a
nd Soren Galatius in which we compute the Galois action on the symplectic
K-theory of the integers.\n
LOCATION:https://researchseminars.org/talk/MAGIC/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuan Liu (University of Michigan)
DTSTART:20200604T173000Z
DTEND:20200604T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/6
DESCRIPTION:Title: Pr
esentations of Galois groups of maximal extensions with restricted ramific
ations\nby Yuan Liu (University of Michigan) as part of MAGIC (Michiga
n - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstract\nIn previous
work with Melanie Matchett Wood and David Zureick-Brown\, we conjecture th
at an explicitly-defined random profinite group model can predict the dist
ribution of the Galois groups of maximal unramified extension of global fi
elds that range over $\\Gamma$-extensions of $\\mathbb{Q}$ or $\\mathbb{F}
_q(t)$. In the function field case\, our conjecture is supported by the mo
ment computation\, but very little is known in the number field case. Inte
restingly\, our conjecture suggests that the random group should simulate
the maximal unramified Galois groups\, and hence suggests some particular
requirements on the structure of these Galois groups. In this talk\, we wi
ll prove that the maximal unramified Galois groups are always achievable b
y our random group model\, which verifies those interesting requirements.
The proof is motivated by the work of Lubotzky on the profinite presentati
ons and by the work of Koch on the $p$-class tower groups. We will also di
scuss how the techniques used in the proof can be applied to the cases tha
t are not covered by the Liu--Wood--Zureick-Brown conjecture\, which poten
tially could help us obtain random group models for those cases.\n\n(Zoom
password = order of the alternating group on six letters)\n
LOCATION:https://researchseminars.org/talk/MAGIC/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Loughran (University of Bath)
DTSTART:20200507T173000Z
DTEND:20200507T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/7
DESCRIPTION:Title: Pr
obabilistic Arithmetic Geometry\nby Daniel Loughran (University of Bat
h) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)
\n\n\nAbstract\nA theorem of Erdos-Kac states that the number of prime div
isors of an integer behaves like a normal distribution (once suitably reno
rmalised). In this talk I shall explain a version of this result for integ
er points on varieties. This is joint work with Efthymios Sofos and Daniel
El-Baz.\n
LOCATION:https://researchseminars.org/talk/MAGIC/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shabnam Akhtari (University of Oregon)
DTSTART:20200625T173000Z
DTEND:20200625T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/8
DESCRIPTION:Title: A
positive proportion of quartic binary forms does not represent 1.\nby
Shabnam Akhtari (University of Oregon) as part of MAGIC (Michigan - Arithm
etic Geometry Initiative - Columbia)\n\n\nAbstract\nI will discuss an expl
icit construction of many equations of the shape F(x \, y) = 1 which have
no solutions in integers x\, y\, where F(x \, y) is a quartic form with in
teger coefficients. In this recent work\, in order to construct a dense su
bset of forms that do not represent 1\, the quartic forms are ordered by
the two generators of their rings of invariants. In a previous joint work
with Manjul Bhargava\, we showed a similar result\, but we ordered forms
by their naive heights.\n
LOCATION:https://researchseminars.org/talk/MAGIC/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiuya Wang (Duke)
DTSTART:20200702T173000Z
DTEND:20200702T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/9
DESCRIPTION:Title: Po
intwise Bound for $\\ell$-torsion of Class Groups\nby Jiuya Wang (Duke
) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\
n\n\nAbstract\n$\\ell$-torsion conjecture states that $\\ell$-torsion of t
he class group $|\\text{Cl}_K[\\ell]|$ for every number field $K$ is bound
ed by $\\text{Disc}(K)^{\\epsilon}$. It follows from a classical result of
Brauer-Siegel\, or even earlier result of Minkowski that the class number
$|\\text{Cl}_K|$ of a number field $K$ are always bounded by $\\text{Disc
}(K)^{1/2+\\epsilon}$\, therefore we obtain a trivial bound $\\text{Disc}(
K)^{1/2+\\epsilon}$ on $|\\text{Cl}_K[\\ell]|$. We will talk about results
on this conjecture\, and recent works on breaking the trivial bound for $
\\ell$-torsion of class groups in some cases based on the work of Ellenber
g-Venkatesh.\n
LOCATION:https://researchseminars.org/talk/MAGIC/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tim Browning (IST Austria)
DTSTART:20200709T173000Z
DTEND:20200709T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/10
DESCRIPTION:Title: D
el Pezzo surfaces by degrees\nby Tim Browning (IST Austria) as part of
MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstrac
t\nThe arithmetic of del Pezzo surfaces gets harder as the degree decrease
s\, with the main questions being about \nexistence and distribution of ra
tional points. Degree 1 del Pezzo surfaces can be embedded in weighted pro
jective space and \nadmit a natural elliptic fibration. On the one hand t
heir arithmetic is very simple --- they always have a rational point --- b
ut any significant piece of \nfurther information appears to lie beyond t
he veil... I shall survey what is known about them before discussing a ne
w upper bound for the density of rational points \nof bounded height that
uses a variant of the square sieve worked out by Lillian Pierce. This is
joint work with Dante Bonolis.\n
LOCATION:https://researchseminars.org/talk/MAGIC/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephanie Chan (University College London)
DTSTART:20200716T173000Z
DTEND:20200716T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/11
DESCRIPTION:Title: A
density of ramified primes\nby Stephanie Chan (University College Lon
don) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbi
a)\n\n\nAbstract\nLet K be a cyclic totally real number field of odd degre
e over Q with odd class number\, such that every totally positive unit is
the square of a unit\, and such that 2 is inert in K/Q. We extend the defi
nition of spin to all odd ideals (not necessarily principal). We discuss s
ome of the ideas involved in obtaining an explicit formula\, depending onl
y on [K:Q]\, for the density of rational prime ideals satisfying a certain
property of spins\, conditional on a standard conjecture on short charact
er sums. This talk is based on joint work with Christine McMeekin and Djor
djo Milovic.\n
LOCATION:https://researchseminars.org/talk/MAGIC/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Shusterman (Harvard)
DTSTART:20200723T173000Z
DTEND:20200723T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/12
DESCRIPTION:Title: T
he quadratic Bateman-Horn conjecture over function fields\nby Mark Shu
sterman (Harvard) as part of MAGIC (Michigan - Arithmetic Geometry Initiat
ive - Columbia)\n\n\nAbstract\nAre there infinitely many natural numbers $
n$ with $n^2+1$ a prime?\n\nIn a joint work in progress with Will Sawin we
show that for some finite fields $F$\, there are infinitely many monic po
lynomials $f \\in F[u]$ for which $f^2 + u$ is prime (i.e. monic irreducib
le).\n\nAfter surveying some earlier works\, I’ll explain how to reduce
the problem to a question of cancellation in an incomplete exponential sum
. Via the Grothendieck-Lefschetz trace formula\, this will lead us to boun
ding the cohomology of certain sheaves on the complement of a hyperplane a
rrangement in affine space.\n
LOCATION:https://researchseminars.org/talk/MAGIC/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seoyoung Kim (Queen's University)
DTSTART:20200806T173000Z
DTEND:20200806T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/13
DESCRIPTION:Title: F
rom the Birch and Swinnerton-Dyer conjecture to Nagao's conjecture\nby
Seoyoung Kim (Queen's University) as part of MAGIC (Michigan - Arithmetic
Geometry Initiative - Columbia)\n\n\nAbstract\nLet $E$ be an elliptic cur
ve over $\\mathbb{Q}$ with discriminant $\\Delta_E$. For primes $p$ of goo
d reduction\, let $N_p$ be the number of points modulo $p$ and write $N_p=
p+1-a_p$. In 1965\, Birch and Swinnerton-Dyer formulated a conjecture whic
h implies\n$$\\lim_{x\\to\\infty}\\frac{1}{\\log x}\\sum_{ {p\\leq x\, p
\\nmid \\Delta_{E}}}\\frac{a_p\\log p}{p}=-r+\\frac{1}{2}\,$$\nwhere $r$ i
s the order of the zero of the $L$-function $L_{E}(s)$ of $E$ at $s=1$\, w
hich is predicted to be the Mordell-Weil rank of $E(\\mathbb{Q})$. We show
that if the above limit exits\, then the limit equals $-r+1/2$. We also r
elate this to Nagao's conjecture. This is a recent joint work with M. Ram
Murty.\n
LOCATION:https://researchseminars.org/talk/MAGIC/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jennifer Berg (Bucknell University)
DTSTART:20200910T173000Z
DTEND:20200910T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/14
DESCRIPTION:Title: C
onic bundles over elliptic curves\nby Jennifer Berg (Bucknell Universi
ty) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia
)\n\n\nAbstract\nIn this talk\, we'll explore the arithmetic of conic bund
les $X \\to E$ over elliptic curves of positive Mordell-Weil rank over a n
umber field k. We will consider questions regarding the distribution of th
e rational points of X by examining the image of X(k) inside of the ration
al points of the base elliptic curve E. In the process\, we will mention a
result on a local-to-global principle for torsion points on elliptic curv
es over the rationals. This is joint work with Masahiro Nakahara.\n
LOCATION:https://researchseminars.org/talk/MAGIC/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Larson (Stanford University)
DTSTART:20200903T181000Z
DTEND:20200903T191000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/16
DESCRIPTION:Title: B
rill--Noether theory over the Hurwitz space\nby Hannah Larson (Stanfor
d University) as part of MAGIC (Michigan - Arithmetic Geometry Initiative
- Columbia)\n\n\nAbstract\nLet $C$ be a curve of genus $g$. A fundamental
problem in the theory of algebraic curves is to understand maps of $C$ to
projective space of dimension r of degree d. When the curve $C$ is general
\, the moduli space of such maps is well-understood by the main theorems o
f Brill-Noether theory. However\, in nature\, curves $C$ are often encoun
tered already equipped with a map to some projective space\, which may for
ce them to be special in moduli. The simplest case is when $C$ is general
among curves of fixed gonality. Despite much study over the past three d
ecades\, a similarly complete picture has proved elusive in this case. In
this talk\, I will discuss recent joint work with Eric Larson and Isabel V
ogt that completes such a picture\, by proving analogs of all of the main
theorems of Brill--Noether theory in this setting.\n\nThere is a pre-talk
by Eric Larson on limit linear series.\n
LOCATION:https://researchseminars.org/talk/MAGIC/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Griffon (Universität Basel)
DTSTART:20200813T173000Z
DTEND:20200813T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/17
DESCRIPTION:Title: E
lliptic curves with large Tate-Shafarevich groups over $\\mathbb F_q(t)$\nby Richard Griffon (Universität Basel) as part of MAGIC (Michigan - A
rithmetic Geometry Initiative - Columbia)\n\n\nAbstract\nTate-Shafarevich
groups are important arithmetic invariants of elliptic curves\, which rema
in quite mysterious: for instance\, it is conjectured that they are finite
\, but this is only known in a limited number of cases. Assuming finitenes
s of $\\operatorname{Sha}(E)$\, work of Goldfeld and Szpiro provides upper
bounds on $\\#\\operatorname{Sha}(E)$ in terms of the conductor or the he
ight of $E$. I will talk about a recent work (joint with Guus de Wit) wher
e we investigate whether these upper bounds are optimal\, in the setting o
f elliptic curves over $\\mathbb F_q(t)$. More specifically\, we construct
an explicit family of elliptic curves over $\\mathbb F_q(t)$ which have `
`large'' Tate-Shafarevich groups. In this family\, $\\operatorname{Sha}(E)
$ is indeed essentially as large as it possibly can\, according to the abo
ve mentioned bounds. In contrast with similar results for elliptic curves
over $\\mathbb Q$\, our result is unconditional. We also provide additiona
l information about the structure of the Tate-Shafarevich groups under stu
dy. The proof combines various interesting intermediate results\, includin
g an explicit expression for the relevant $L$-functions\, a detailed study
of the distribution of their zeros\, and the proof of the BSD conjecture
for the elliptic curves in the sequence.\n
LOCATION:https://researchseminars.org/talk/MAGIC/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Levent Alpoge (Columbia University)
DTSTART:20200820T173000Z
DTEND:20200820T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/18
DESCRIPTION:Title: E
ffectivity in Faltings' Theorem.\nby Levent Alpoge (Columbia Universit
y) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)
\n\n\nAbstract\nIn joint work with Brian Lawrence we show that\, assuming\
nstandard motivic conjectures (Fontaine-Mazur\, Grothendieck-Serre\,\nHodg
e\, Tate)\, there is a finite-time algorithm that\, on input $(K\,C)$\nwit
h $K$ a number field and $C/K$ a smooth projective hyperbolic curve\,\nout
puts $C(K)$. On the other hand\, in certain cases (i.e. after\nrestricting
the inputs $(K\,C)$ --- e.g. so that $K/\\mathbb Q$ is totally real and\n
of odd degree) there is an unconditional finite-time algorithm to\ncompute
$(K\,C)\\mapsto C(K)$\, using potential modularity theorems. I will\ndisc
uss these two results\, focusing in the latter case on how to\nuncondition
ally compute the $K$-rational points on the curves $C_a : x^6\n+ 4y^3 = a^
2$ (i.e. $a\\in K^\\times$ fixed) when $K/\\mathbb Q$ is totally real of\n
odd degree.\n\n(The talk will cover Chapters 7\, 9\, and 11 of my thesis\,
available on\ne.g. my website.)\n
LOCATION:https://researchseminars.org/talk/MAGIC/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:group discussion
DTSTART:20200730T173000Z
DTEND:20200730T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/19
DESCRIPTION:Title: I
nformal arithmetic geometry discussion (bring your questions)\nby grou
p discussion as part of MAGIC (Michigan - Arithmetic Geometry Initiative -
Columbia)\n\n\nAbstract\nWe will have a virtual tea with participants of
the seminar\, as well as anyone interested in arithmetic geometry who stop
s by.\n\nThis will combine informal conversations with discussions of ques
tions in arithmetic geometry (interpreted broadly). Questions from grad st
udents and junior participants are encouraged the most\, but everyone shou
ld feel free to ask.\n
LOCATION:https://researchseminars.org/talk/MAGIC/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Tsimerman (University of Toronto)
DTSTART:20201008T173000Z
DTEND:20201008T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/20
DESCRIPTION:Title: I
ndependence of CM points in Elliptic curves\nby Jacob Tsimerman (Unive
rsity of Toronto) as part of MAGIC (Michigan - Arithmetic Geometry Initiat
ive - Columbia)\n\n\nAbstract\n(Joint with Jonathan Pila) Let Y be a shim
ura curve and E an elliptic curve. Consider a map $f:Y\\rightarrow E$. It
is a theorem of Poonen and Buium that the images of CM points in E are - m
ostly - linearly independent. We explain this\, and a generalization of t
his theorem to correspondences\, via a connection to unlikely intersection
theory. Our proof follows the by-now-familiar setup of combining transcen
dence theorems with Galois orbit bounds\, and employs the full strength of
the Ax-Schanuel theorem.\n
LOCATION:https://researchseminars.org/talk/MAGIC/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Myrto Mavraki (Harvard University)
DTSTART:20201022T173000Z
DTEND:20201022T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/21
DESCRIPTION:Title: S
tatistics in arithmetic dynamics\nby Myrto Mavraki (Harvard University
) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\
n\n\nAbstract\nWe begin with an introduction to arithmetic dynamics and he
ights attached to rational maps. We then introduce a dynamical version of
Lang's conjecture concerning the minimal canonical height of non-torsion r
ational points in elliptic curves (due to Silverman) as well as a conjectu
ral analogue of Mazur/Merel's theorem on uniform bounds of rational torsio
n points in elliptic curves (due to Morton-Silverman). It is likely that t
he two conjectures are harder in the dynamical setting due to the lack of
structure coming from a group law. We describe joint work with Pierre Le B
oudec in which we establish statistical versions of these conjectures for
polynomial maps.\n
LOCATION:https://researchseminars.org/talk/MAGIC/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arul Shankar (University of Toronto)
DTSTART:20201105T183000Z
DTEND:20201105T193000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/22
DESCRIPTION:Title: T
he number of $D_4$-extensions of $\\mathbb Q$\nby Arul Shankar (Univer
sity of Toronto) as part of MAGIC (Michigan - Arithmetic Geometry Initiati
ve - Columbia)\n\n\nAbstract\nWe will begin with a summary of how Malle's
conjecture and Bhargava's heuristics can be used to develop the "Malle--Bh
argava heuristics"\, predicting the asymptotics in families of number fiel
ds\, ordered by a general class of invariants.\n\nWe will then specialize
to the case of $D_4$-number fields. Even in this (fairly simple) case\, wh
ere the fields can be parametrized quite explicitly\, the question of dete
rmining asymptotics can get quite complicated. We will discuss joint work
with Altug\, Varma\, and Wilson\, in which we recover asymptotics when qua
rtic $D_4$ fields are ordered by conductor. And we will finally discuss jo
int work with Varma\, in which we recover Malle's conjecture for octic $D_
4$-fields.\n
LOCATION:https://researchseminars.org/talk/MAGIC/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Larson (Stanford University)
DTSTART:20200903T173000Z
DTEND:20200903T180000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/23
DESCRIPTION:Title: I
ntroduction to Limit Linear Series\nby Eric Larson (Stanford Universit
y) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)
\n\n\nAbstract\nThis pre-talk will give an introduction to limit linear se
ries\, which will be useful in the subsequent talk on Brill-Noether theory
over the Hurwitz space.\n
LOCATION:https://researchseminars.org/talk/MAGIC/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Max Lieblich (University of Washington)
DTSTART:20200924T173000Z
DTEND:20200924T183000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/24
DESCRIPTION:Title: M
oduli spaces in computer vision\nby Max Lieblich (University of Washin
gton) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columb
ia)\n\n\nAbstract\nI will discuss some moduli spaces that naturally arise
in computer vision. While these spaces were traditionally studied using cl
assical projective geometry\, a modern functorial approach yields stronger
results. I’ll also discuss a key open problem on these moduli spaces th
at has potentially important practical implications.\n
LOCATION:https://researchseminars.org/talk/MAGIC/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Granville (University of Montreal)
DTSTART:20201119T183000Z
DTEND:20201119T193000Z
DTSTAMP:20260315T023821Z
UID:MAGIC/25
DESCRIPTION:Title: T
he distribution of primes in short intervals.\nby Andrew Granville (Un
iversity of Montreal) as part of MAGIC (Michigan - Arithmetic Geometry Ini
tiative - Columbia)\n\n\nAbstract\nWhat is the maximum number of primes in
an interval of length $y$?\nHere $y$ is no bigger than a small multiple
of $(\\log x)^2$\, that is\, $y$ is tiny compared to $x$. We will present
several conjectures (for different ranges of $y$) based on (a couple of) h
euristic ideas\, and investigate these conjectures with data from calculat
ions of primes. There are one or two surprising issues that arise. This i
s joint work with Allysa Lumley.\n
LOCATION:https://researchseminars.org/talk/MAGIC/25/
END:VEVENT
END:VCALENDAR