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BEGIN:VEVENT
SUMMARY:Nick Rome (University of Bristol)
DTSTART:20200514T173000Z
DTEND:20200514T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/1
DESCRIPTION:Title: Weak approximation on quadric surface bundles\nby Nick Rome (Univ
ersity of Bristol) as part of MAGIC (Michigan - Arithmetic Geometry Initia
tive - Columbia)\n\n\nAbstract\nWe investigate the distribution of rationa
l points on certain biprojective varieties arising in recent work of Hasse
tt\, Pirutka and Tschinkel. The method involves a combination of tools fro
m algebraic geometry (the fibration method and Brauer--Manin obstruction)
and analytic number theory (detecting the solubility of fibres with charac
ter sums).\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ananth Shankar (MIT -> Wisconsin)
DTSTART:20200521T173000Z
DTEND:20200521T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/2
DESCRIPTION:Title: Finiteness results for reductions of Hecke orbits\nby Ananth Shan
kar (MIT -> Wisconsin) as part of MAGIC (Michigan - Arithmetic Geometry In
itiative - Columbia)\n\n\nAbstract\nI will talk about two finiteness resul
ts for reductions of Hecke orbits of abelian varieties defined over finite
extensions of Q_p\, as well as applications to CM lifts of abelian variet
ies defined over finite fields. This is joint work with Mark Kisin\, Joshu
a Lam and Padmavathi Srinivasan.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Sutherland (MIT)
DTSTART:20200528T173000Z
DTEND:20200528T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/3
DESCRIPTION:Title: Computing L-functions of modular curves\nby Andrew Sutherland (MI
T) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)
\n\n\nAbstract\nI will present a new algorithm for counting points on modu
lar\ncurves over finite fields that is faster and more general than\nprevi
ous methods\, building on ideas of Zywina that were exploited in our\nprio
r joint work. A key feature of this algorithm is that it does not\nrequir
e a model of the curve. I will then describe how this can be used\nto com
pute the 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://stable.researchseminars.org/talk/MAGIC/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Koymans (Max Planck Institute)
DTSTART:20200618T173000Z
DTEND:20200618T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/4
DESCRIPTION:Title: Integral points on quadratic equations\nby Peter Koymans (Max Pla
nck Institute) as part of MAGIC (Michigan - Arithmetic Geometry Initiative
- Columbia)\n\n\nAbstract\nFix a prime number $l \\equiv 3 \\bmod 4$. In
this talk we study how often the equation $x^2 - dy^2 = l$ is soluble in i
ntegers x and y as we vary $d$ over squarefree integers divisible by our f
ixed prime $l$. We will discuss how this question can be rephrased in term
s of the 2-part of the narrow class group of $\\mathbb{Q}(\\sqrt{d})$. The
n we sketch how one can use the recent ideas of Alexander Smith to obtain
the distribution of these class groups. This is joint work with Carlo Paga
no.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Feng (MIT)
DTSTART:20200611T173000Z
DTEND:20200611T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/5
DESCRIPTION:Title: The Galois action on symplectic K-theory\nby Tony Feng (MIT) as p
art of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nA
bstract\nInteresting Galois representations occur in the cohomology of ari
thmetic groups. For example\, all Galois representations attached to ellip
tic curves 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 c
alled algebraic K-theory\, which is closely related to the stable homology
of arithmetic groups. I will explain this and joint work with Akshay Venk
atesh and Soren Galatius in which we compute the Galois action on the symp
lectic K-theory of the integers.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuan Liu (University of Michigan)
DTSTART:20200604T173000Z
DTEND:20200604T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/6
DESCRIPTION:Title: Presentations of Galois groups of maximal extensions with restricted
ramifications\nby Yuan Liu (University of Michigan) as part of MAGIC (
Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstract\nIn pr
evious work with Melanie Matchett Wood and David Zureick-Brown\, we conjec
ture that an explicitly-defined random profinite group model can predict t
he distribution of the Galois groups of maximal unramified extension of gl
obal fields that range over $\\Gamma$-extensions of $\\mathbb{Q}$ or $\\ma
thbb{F}_q(t)$. In the function field case\, our conjecture is supported by
the moment computation\, but very little is known in the number field cas
e. Interestingly\, our conjecture suggests that the random group should si
mulate the maximal unramified Galois groups\, and hence suggests some part
icular requirements on the structure of these Galois groups. In this talk\
, we will prove that the maximal unramified Galois groups are always achie
vable by our random group model\, which verifies those interesting require
ments. The proof is motivated by the work of Lubotzky on the profinite pre
sentations and by the work of Koch on the $p$-class tower groups. We will
also discuss how the techniques used in the proof can be applied to the ca
ses that are not covered by the Liu--Wood--Zureick-Brown conjecture\, whic
h potentially 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://stable.researchseminars.org/talk/MAGIC/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Loughran (University of Bath)
DTSTART:20200507T173000Z
DTEND:20200507T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/7
DESCRIPTION:Title: Probabilistic Arithmetic Geometry\nby Daniel Loughran (University
of Bath) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Co
lumbia)\n\n\nAbstract\nA theorem of Erdos-Kac states that the number of pr
ime divisors of an integer behaves like a normal distribution (once suitab
ly renormalised). In this talk I shall explain a version of this result fo
r integer points on varieties. This is joint work with Efthymios Sofos and
Daniel El-Baz.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shabnam Akhtari (University of Oregon)
DTSTART:20200625T173000Z
DTEND:20200625T183000Z
DTSTAMP:20260404T095454Z
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 -
Arithmetic Geometry Initiative - Columbia)\n\n\nAbstract\nI will discuss
an explicit construction of many equations of the shape F(x \, y) = 1 whic
h have no solutions in integers x\, y\, where F(x \, y) is a quartic form
with integer coefficients. In this recent work\, in order to construct a d
ense subset of forms that do not represent 1\, the quartic forms are orde
red by the two generators of their rings of invariants. In a previous joi
nt work with Manjul Bhargava\, we showed a similar result\, but we ordered
forms by their naive heights.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiuya Wang (Duke)
DTSTART:20200702T173000Z
DTEND:20200702T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/9
DESCRIPTION:Title: Pointwise Bound for $\\ell$-torsion of Class Groups\nby Jiuya Wan
g (Duke) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Col
umbia)\n\n\nAbstract\n$\\ell$-torsion conjecture states that $\\ell$-torsi
on of the class group $|\\text{Cl}_K[\\ell]|$ for every number field $K$ i
s bounded by $\\text{Disc}(K)^{\\epsilon}$. It follows from a classical re
sult 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 $\\te
xt{Disc}(K)^{1/2+\\epsilon}$\, 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 boun
d for $\\ell$-torsion of class groups in some cases based on the work of E
llenberg-Venkatesh.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tim Browning (IST Austria)
DTSTART:20200709T173000Z
DTEND:20200709T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/10
DESCRIPTION:Title: Del Pezzo surfaces by degrees\nby Tim Browning (IST Austria) as
part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\n
Abstract\nThe arithmetic of del Pezzo surfaces gets harder as the degree d
ecreases\, with the main questions being about \nexistence and distributio
n of rational points. Degree 1 del Pezzo surfaces can be embedded in weigh
ted projective space and \nadmit a natural elliptic fibration. On the one
hand their arithmetic is very simple --- they always have a rational poin
t --- but any significant piece of \nfurther information appears to lie b
eyond the veil... I shall survey what is known about them before discussi
ng a new upper bound for the density of rational points \nof bounded heigh
t that uses a variant of the square sieve worked out by Lillian Pierce. T
his is joint work with Dante Bonolis.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephanie Chan (University College London)
DTSTART:20200716T173000Z
DTEND:20200716T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/11
DESCRIPTION:Title: A density of ramified primes\nby Stephanie Chan (University Coll
ege London) as part of MAGIC (Michigan - Arithmetic Geometry Initiative -
Columbia)\n\n\nAbstract\nLet K be a cyclic totally real number field of od
d degree over Q with odd class number\, such that every totally positive u
nit is the square of a unit\, and such that 2 is inert in K/Q. We extend t
he definition of spin to all odd ideals (not necessarily principal). We di
scuss some of the ideas involved in obtaining an explicit formula\, depend
ing only on [K:Q]\, for the density of rational prime ideals satisfying a
certain property of spins\, conditional on a standard conjecture on short
character sums. This talk is based on joint work with Christine McMeekin a
nd Djordjo Milovic.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Shusterman (Harvard)
DTSTART:20200723T173000Z
DTEND:20200723T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/12
DESCRIPTION:Title: The quadratic Bateman-Horn conjecture over function fields\nby M
ark Shusterman (Harvard) as part of MAGIC (Michigan - Arithmetic Geometry
Initiative - Columbia)\n\n\nAbstract\nAre there infinitely many natural nu
mbers $n$ with $n^2+1$ a prime?\n\nIn a joint work in progress with Will S
awin we show that for some finite fields $F$\, there are infinitely many m
onic polynomials $f \\in F[u]$ for which $f^2 + u$ is prime (i.e. monic ir
reducible).\n\nAfter surveying some earlier works\, I’ll explain how to
reduce the problem to a question of cancellation in an incomplete exponent
ial sum. Via the Grothendieck-Lefschetz trace formula\, this will lead us
to bounding the cohomology of certain sheaves on the complement of a hyper
plane arrangement in affine space.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seoyoung Kim (Queen's University)
DTSTART:20200806T173000Z
DTEND:20200806T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/13
DESCRIPTION:Title: From the Birch and Swinnerton-Dyer conjecture to Nagao's conjecture<
/a>\nby Seoyoung Kim (Queen's University) as part of MAGIC (Michigan - Ari
thmetic Geometry Initiative - Columbia)\n\n\nAbstract\nLet $E$ be an ellip
tic curve over $\\mathbb{Q}$ with discriminant $\\Delta_E$. For primes $p$
of good reduction\, let $N_p$ be the number of points modulo $p$ and writ
e $N_p=p+1-a_p$. In 1965\, Birch and Swinnerton-Dyer formulated a conjectu
re which implies\n$$\\lim_{x\\to\\infty}\\frac{1}{\\log x}\\sum_{ {p\\leq
x\, p \\nmid \\Delta_{E}}}\\frac{a_p\\log p}{p}=-r+\\frac{1}{2}\,$$\nwher
e $r$ is the order of the zero of the $L$-function $L_{E}(s)$ of $E$ at $s
=1$\, which 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 relate this to Nagao's conjecture. This is a recent joint work with
M. Ram Murty.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jennifer Berg (Bucknell University)
DTSTART:20200910T173000Z
DTEND:20200910T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/14
DESCRIPTION:Title: Conic bundles over elliptic curves\nby Jennifer Berg (Bucknell U
niversity) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - C
olumbia)\n\n\nAbstract\nIn this talk\, we'll explore the arithmetic of con
ic bundles $X \\to E$ over elliptic curves of positive Mordell-Weil rank o
ver a number field k. We will consider questions regarding the distributio
n of the rational points of X by examining the image of X(k) inside of the
rational points of the base elliptic curve E. In the process\, we will me
ntion a result on a local-to-global principle for torsion points on ellipt
ic curves over the rationals. This is joint work with Masahiro Nakahara.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Larson (Stanford University)
DTSTART:20200903T181000Z
DTEND:20200903T191000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/16
DESCRIPTION:Title: Brill--Noether theory over the Hurwitz space\nby Hannah Larson (
Stanford University) as part of MAGIC (Michigan - Arithmetic Geometry Init
iative - Columbia)\n\n\nAbstract\nLet $C$ be a curve of genus $g$. A funda
mental 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 the
orems of Brill-Noether theory. However\, in nature\, curves $C$ are often
encountered already equipped with a map to some projective space\, which
may force 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 decades\, a similarly complete picture has proved elusive in this ca
se. In this talk\, I will discuss recent joint work with Eric Larson and I
sabel Vogt that completes such a picture\, by proving analogs of all of th
e main theorems of Brill--Noether theory in this setting.\n\nThere is a pr
e-talk by Eric Larson on limit linear series.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Griffon (Universität Basel)
DTSTART:20200813T173000Z
DTEND:20200813T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/17
DESCRIPTION:Title: Elliptic curves with large Tate-Shafarevich groups over $\\mathbb F_
q(t)$\nby Richard Griffon (Universität Basel) as part of MAGIC (Michi
gan - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstract\nTate-Shafa
revich groups are important arithmetic invariants of elliptic curves\, whi
ch remain quite mysterious: for instance\, it is conjectured that they are
finite\, but this is only known in a limited number of cases. Assuming fi
niteness of $\\operatorname{Sha}(E)$\, work of Goldfeld and Szpiro provide
s upper bounds on $\\#\\operatorname{Sha}(E)$ in terms of the conductor or
the height of $E$. I will talk about a recent work (joint with Guus de Wi
t) where we investigate whether these upper bounds are optimal\, in the se
tting of elliptic curves over $\\mathbb F_q(t)$. More specifically\, we co
nstruct 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 above mentioned bounds. In contrast with similar results for elliptic
curves over $\\mathbb Q$\, our result is unconditional. We also provide ad
ditional information about the structure of the Tate-Shafarevich groups un
der study. The proof combines various interesting intermediate results\, i
ncluding an explicit expression for the relevant $L$-functions\, a detaile
d study of the distribution of their zeros\, and the proof of the BSD conj
ecture for the elliptic curves in the sequence.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Levent Alpoge (Columbia University)
DTSTART:20200820T173000Z
DTEND:20200820T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/18
DESCRIPTION:Title: Effectivity in Faltings' Theorem.\nby Levent Alpoge (Columbia Un
iversity) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Co
lumbia)\n\n\nAbstract\nIn joint work with Brian Lawrence we show that\, as
suming\nstandard motivic conjectures (Fontaine-Mazur\, Grothendieck-Serre\
,\nHodge\, Tate)\, there is a finite-time algorithm that\, on input $(K\,C
)$\nwith $K$ a number field and $C/K$ a smooth projective hyperbolic curve
\,\noutputs $C(K)$. On the other hand\, in certain cases (i.e. after\nrest
ricting the inputs $(K\,C)$ --- e.g. so that $K/\\mathbb Q$ is totally rea
l and\nof odd degree) there is an unconditional finite-time algorithm to\n
compute $(K\,C)\\mapsto C(K)$\, using potential modularity theorems. I wil
l\ndiscuss these two results\, focusing in the latter case on how to\nunco
nditionally 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 re
al of\nodd degree.\n\n(The talk will cover Chapters 7\, 9\, and 11 of my t
hesis\, available on\ne.g. my website.)\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:group discussion
DTSTART:20200730T173000Z
DTEND:20200730T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/19
DESCRIPTION:Title: Informal arithmetic geometry discussion (bring your questions)\n
by group discussion as part of MAGIC (Michigan - Arithmetic Geometry Initi
ative - Columbia)\n\n\nAbstract\nWe will have a virtual tea with participa
nts of the seminar\, as well as anyone interested in arithmetic geometry w
ho stops by.\n\nThis will combine informal conversations with discussions
of questions in arithmetic geometry (interpreted broadly). Questions from
grad students and junior participants are encouraged the most\, but everyo
ne should feel free to ask.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Tsimerman (University of Toronto)
DTSTART:20201008T173000Z
DTEND:20201008T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/20
DESCRIPTION:Title: Independence of CM points in Elliptic curves\nby Jacob Tsimerman
(University of Toronto) as part of MAGIC (Michigan - Arithmetic Geometry
Initiative - Columbia)\n\n\nAbstract\n(Joint with Jonathan Pila) Let Y be
a shimura 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 - mostly - linearly independent. We explain this\, and a generalizati
on of this theorem to correspondences\, via a connection to unlikely inter
section theory. Our proof follows the by-now-familiar setup of combining t
ranscendence theorems with Galois orbit bounds\, and employs the full stre
ngth of the Ax-Schanuel theorem.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Myrto Mavraki (Harvard University)
DTSTART:20201022T173000Z
DTEND:20201022T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/21
DESCRIPTION:Title: Statistics in arithmetic dynamics\nby Myrto Mavraki (Harvard Uni
versity) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Col
umbia)\n\n\nAbstract\nWe begin with an introduction to arithmetic dynamics
and heights attached to rational maps. We then introduce a dynamical vers
ion of Lang's conjecture concerning the minimal canonical height of non-to
rsion rational points in elliptic curves (due to Silverman) as well as a c
onjectural analogue of Mazur/Merel's theorem on uniform bounds of rational
torsion points in elliptic curves (due to Morton-Silverman). It is likely
that the two conjectures are harder in the dynamical setting due to the l
ack of structure coming from a group law. We describe joint work with Pier
re Le Boudec in which we establish statistical versions of these conjectur
es for polynomial maps.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arul Shankar (University of Toronto)
DTSTART:20201105T183000Z
DTEND:20201105T193000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/22
DESCRIPTION:Title: The number of $D_4$-extensions of $\\mathbb Q$\nby Arul Shankar
(University of Toronto) as part of MAGIC (Michigan - Arithmetic Geometry I
nitiative - Columbia)\n\n\nAbstract\nWe will begin with a summary of how M
alle's conjecture and Bhargava's heuristics can be used to develop the "Ma
lle--Bhargava heuristics"\, predicting the asymptotics in families of numb
er fields\, ordered by a general class of invariants.\n\nWe will then spec
ialize to the case of $D_4$-number fields. Even in this (fairly simple) ca
se\, where the fields can be parametrized quite explicitly\, the question
of determining asymptotics can get quite complicated. We will discuss join
t work with Altug\, Varma\, and Wilson\, in which we recover asymptotics w
hen quartic $D_4$ fields are ordered by conductor. And we will finally dis
cuss joint work with Varma\, in which we recover Malle's conjecture for oc
tic $D_4$-fields.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Larson (Stanford University)
DTSTART:20200903T173000Z
DTEND:20200903T180000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/23
DESCRIPTION:Title: Introduction to Limit Linear Series\nby Eric Larson (Stanford Un
iversity) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Co
lumbia)\n\n\nAbstract\nThis pre-talk will give an introduction to limit li
near series\, which will be useful in the subsequent talk on Brill-Noether
theory over the Hurwitz space.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Max Lieblich (University of Washington)
DTSTART:20200924T173000Z
DTEND:20200924T183000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/24
DESCRIPTION:Title: Moduli spaces in computer vision\nby Max Lieblich (University of
Washington) as part of MAGIC (Michigan - Arithmetic Geometry Initiative -
Columbia)\n\n\nAbstract\nI will discuss some moduli spaces that naturally
arise in computer vision. While these spaces were traditionally studied u
sing classical projective geometry\, a modern functorial approach yields s
tronger results. I’ll also discuss a key open problem on these moduli sp
aces that has potentially important practical implications.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Granville (University of Montreal)
DTSTART:20201119T183000Z
DTEND:20201119T193000Z
DTSTAMP:20260404T095454Z
UID:MAGIC/25
DESCRIPTION:Title: The distribution of primes in short intervals.\nby Andrew Granvi
lle (University of Montreal) as part of MAGIC (Michigan - Arithmetic Geome
try Initiative - Columbia)\n\n\nAbstract\nWhat is the maximum number of pr
imes in an interval of length $y$?\nHere $y$ is no bigger than a small mu
ltiple of $(\\log x)^2$\, that is\, $y$ is tiny compared to $x$. We will p
resent several conjectures (for different ranges of $y$) based on (a coupl
e of) heuristic ideas\, and investigate these conjectures with data from c
alculations of primes. There are one or two surprising issues that arise.
This is joint work with Allysa Lumley.\n
LOCATION:https://stable.researchseminars.org/talk/MAGIC/25/
END:VEVENT
END:VCALENDAR