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BEGIN:VEVENT
SUMMARY:Yukako Kezuka (Universitat Regensburg)
DTSTART:20201007T120000Z
DTEND:20201007T130000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/1
DESCRIPTION:Title: The arithmetic of twists of the Fermat elliptic curve\nby Yukako Kezu
ka (Universitat Regensburg) as part of Queen Mary University of London Alg
ebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/QMULANTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Betts (Max Planck Institut for Mathematik(Bonn))
DTSTART:20201028T130000Z
DTEND:20201028T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/2
DESCRIPTION:Title: Galois and the Lawrence-Venkatesh method\nby Alex Betts (Max Planck I
nstitut for Mathematik(Bonn)) as part of Queen Mary University of London A
lgebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/QMULANTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hanneke Wiersema (King's College London)
DTSTART:20201104T130000Z
DTEND:20201104T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/3
DESCRIPTION:Title: Minimal weights of mod p Galois representations\nby Hanneke Wiersema
(King's College London) as part of Queen Mary University of London Algebra
and Number Theory Seminar\n\n\nAbstract\nThe strong form of Serre's conje
cture states that every two-dimensional continuous\, odd\, irreducible mod
p representation of the absolute Galois group of Q arises from a modular
form of a specific minimal weight\, level and character. In this talk we u
se modular representation theory to prove the minimal weight is equal to a
notion of minimal weight inspired by work of Buzzard\, Diamond and Jarvis
. Moreover\, using the Breuil-Mézard conjecture we give a third interpret
ation of this minimal weight as the smallest k>1 such that the representat
ion has a crystalline lift of Hodge-Tate type (0\, k-1). Finally\, we will
report on work in progress where we study similar questions in the more g
eneral setting of mod p Galois representations over a totally real field.\
n
LOCATION:https://researchseminars.org/talk/QMULANTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mandi Schaeffer Fry (Metropolitan State University of Denver)
DTSTART:20201111T160000Z
DTEND:20201111T170000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/4
DESCRIPTION:Title: The McKay—Navarro Conjecture: The Conjecture That Keeps on Giving!\
nby Mandi Schaeffer Fry (Metropolitan State University of Denver) as part
of Queen Mary University of London Algebra and Number Theory Seminar\n\n\n
Abstract\nThe McKay conjecture is one of the main open conjectures in the
realm of the local-global philosophy in character theory. It posits a bij
ection between the set of irreducible characters of a group with p’-degr
ee and the corresponding set in the normalizer of a Sylow p-subgroup. In t
his talk\, I’ll give an overview of a refinement of the McKay conjecture
due to Gabriel Navarro\, which brings the action of Galois automorphisms
into the picture. A lot of recent work has been done on this conjecture\,
but possibly even more interesting is the amount of information it yields
about the character table of a finite group. I’ll discuss some recent
results on the McKay—Navarro conjecture\, as well as some of the implica
tions the conjecture has had for other interesting character-theoretic pro
blems.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Clausen (University of Copenhagen)
DTSTART:20201118T130000Z
DTEND:20201118T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/5
DESCRIPTION:Title: Condensed sets\nby Dustin Clausen (University of Copenhagen) as part
of Queen Mary University of London Algebra and Number Theory Seminar\n\n\n
Abstract\nI'll give an introduction to the category of condensed sets\, wh
ose objects are similar to topological spaces but whose formal properties
are similar to those of the category of sets. I'll give the definition\,
explain the relation to topological spaces\, and sketch how one can make s
ome computations. This is joint work with Peter Scholze.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Clausen (University of Copenhagen)
DTSTART:20201125T130000Z
DTEND:20201125T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/6
DESCRIPTION:Title: Non-archimedean analysis and geometry\nby Dustin Clausen (University
of Copenhagen) as part of Queen Mary University of London Algebra and Numb
er Theory Seminar\n\n\nAbstract\nBuliding on the previous talk\, I'll defi
ne a full subcategory of condensed abelian groups called "solid" abelian g
roups\, and explain how it yields a very convenient base category for non-
archimedean analysis and geometry.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Nelson (ETH Zurich)
DTSTART:20201202T130000Z
DTEND:20201202T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/7
DESCRIPTION:Title: Theta functions\, fourth moments of eigenforms and the sup-norm problem\nby Paul Nelson (ETH Zurich) as part of Queen Mary University of London
Algebra and Number Theory Seminar\n\n\nAbstract\nI will discuss joint wor
k with Raphael Steiner and Ilya Khayutin in which we study the sup norm pr
oblem for GL(2) eigenforms in the squarefree level aspect. Unlike the sta
ndard approach to the problem via arithmetic amplification following Iwani
ec--Sarnak\, we apply a method\, introduced earlier in other aspects by my
collaborators\, which consists of identifying a fourth moment over a fami
ly of eigenforms evaluated at the point of interest with the L^2-norm of a
theta function defined using the correspondence of Eichler\, Shimizu and
Jacquet--Langlands. After solving some counting problems (involving both
"linear" sums as in traditional approaches and new "bilinear" sums)\, we o
btain a bound comparable to the fourth root of the volume\, improving upon
the trivial square root bound and the nontrivial cube root bound establis
hed by Harcos--Templier and Blomer--Michel. I will describe the proof in
the simplest case.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Berger (University of Sheffield)
DTSTART:20201209T130000Z
DTEND:20201209T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/8
DESCRIPTION:Title: Oddness of limits of automorphic Galois representations\nby Tobias Be
rger (University of Sheffield) as part of Queen Mary University of London
Algebra and Number Theory Seminar\n\n\nAbstract\nFor classical modular for
ms f one knows that the associated Galois representation $\\rho_f:G_{\\mat
hbf{Q}} \\to {\\rm GL}_2(\\overline{\\mathbf{Q}}_p)$ is odd\, in the sense
that ${\\rm det}(\\rho(c))=-1$ for any complex conjugation $c$.\n\nThere
is a similar parity notion for n-dimensional Galois representations which
are essentially conjugate self-dual. In joint work with Ariel Weiss (Hebre
w University) we prove that the Galois representations associated to certa
in irregular automorphic representations of U(a\,b) are odd\, generalizing
a result of Bellaiche-Chenevier in the regular case. \n\nI will explain o
ur result and discuss its proof\, which uses V. Lafforgue's notion of pseu
docharacters and invariant theory.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jay Taylor (University of Southern California)
DTSTART:20201014T120000Z
DTEND:20201014T130000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/9
DESCRIPTION:Title: Unitriangularity of Decomposition Matrices of Unipotent Blocks\nby Ja
y Taylor (University of Southern California) as part of Queen Mary Univers
ity of London Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/QMULANTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Shotton (Durham University)
DTSTART:20201216T130000Z
DTEND:20201216T140000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/10
DESCRIPTION:Title: Shimura curves and Ihara's lemma\nby Jack Shotton (Durham University
) as part of Queen Mary University of London Algebra and Number Theory Sem
inar\n\n\nAbstract\nIhara's lemma is a statement about the structure of th
e mod l cohomology of modular curves that was the key ingredient in Ribet'
s results on level raising. I will motivate and explain its statement\, an
d then describe joint work with Jeffrey Manning on its extension to Shimur
a curves.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Silversmith (Northeastern University)
DTSTART:20201021T150000Z
DTEND:20201021T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/11
DESCRIPTION:Title: Studying subschemes of affine/projective space via matroids\nby Rob
Silversmith (Northeastern University) as part of Queen Mary University of
London Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/QMULANTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Manami Roy (Fordham University)
DTSTART:20210312T160000Z
DTEND:20210312T170000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/12
DESCRIPTION:Title: Counting cuspidal automorphic representations of GSp(4)\nby Manami R
oy (Fordham University) as part of Queen Mary University of London Algebra
and Number Theory Seminar\n\n\nAbstract\nThere is a well-known connection
between the Siegel modular forms of degree 2 and the automorphic represen
tations of GSp(4). Using this relationship and the available dimension for
mulas for the spaces of Siegel cusp forms of degree 2\, we count a specifi
c set of cuspidal automorphic representations of GSp(4). Consequently\, we
obtain an equidistribution result for a family of cuspidal automorphic re
presentations of GSp(4). This kind of equidistribution result is analogous
to the so-called vertical Sato-Tate conjecture for GL(2). The method of c
ounting automorphic representations is also helpful for computing dimensio
ns of some spaces of Siegel cusp forms\, which are not yet known. The talk
is based on a joint work with Ralf Schmidt and Shaoyun Yi.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Su (Cambridge University)
DTSTART:20210226T160000Z
DTEND:20210226T170000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/13
DESCRIPTION:Title: Arithmetic group cohomology with generalised coefficients\nby Jun Su
(Cambridge University) as part of Queen Mary University of London Algebra
and Number Theory Seminar\n\n\nAbstract\nCohomology of arithmetic subgrou
ps\, with algebraic representations as coefficients\, has played an import
ant role in the construction of Langlands correspondence. Traditionally th
e first step to access these objects is to view them as cohomology of shea
ves on locally symmetric spaces and hence connect them with spaces of func
tions. However\, sometimes infinite dimensional coeffients also naturallhy
arise\, e.g. when you try to attach elliptic curves to weight 2 eigenform
s on GL_2/an imaginary cubic field\, and the sheaf theoretic viewpoint mig
ht no longer be fruitful. In this talk we'll explain a very simple alterna
tive understanding of the connection between arithmetic group cohomology (
with finite dimensional coefficients) and function spaces\, and discuss it
s application to infinite dimensional coefficients.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ariel Pacetti (University of Aveiro)
DTSTART:20210319T160000Z
DTEND:20210319T170000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/14
DESCRIPTION:Title: Modularity of abelian surfaces\nby Ariel Pacetti (University of Avei
ro) as part of Queen Mary University of London Algebra and Number Theory S
eminar\n\n\nAbstract\nThe paramodular conjecture states a relation between
rational abelian surfaces (without extra endomorphisms) and some siegel m
odular forms. It is a generalization of the 1-dimensional case\, namely th
e Shimura-Taniyama conjecture. In this talk I will explain the conjecture\
, its relation to modularity of elliptic curves over quadratic fields\, th
e state of the art of the conjecture and some mention some proven cases. I
f time allows\, I will present a Bianchi newform over Q(\\sqrt{-7}) with r
ational eigenvalues which is attached to an abelian surface over Q( √
−7) (and explain its relation with the conjecture).\n
LOCATION:https://researchseminars.org/talk/QMULANTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuichiro Takeda (University of Missouri)
DTSTART:20210402T150000Z
DTEND:20210402T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/15
DESCRIPTION:Title: Multiplicity-at-most-one theorem for GSpin and GPin\nby Shuichiro T
akeda (University of Missouri) as part of Queen Mary University of London
Algebra and Number Theory Seminar\n\n\nAbstract\nLet V be a quadratic spac
e over a nonarchimedean local field of characteristic 0. The orthogonal gr
oup O(V) and the special orthogonal group SO(V) have a unique nontrivial G
L_1 -extension called GPin(V) and GSpin(V)\, respectively. Let W\\subseteq
V be a subspace of codimension 1. Then there are natural inclusions GPin
(W)\\subseteq GPin(V) and GSpin(W)\\subseteq GSpin(V). One can then consid
er the Gan-Gross-Prasad (GGP) periods for GPin and GSpin. In this talk\,
I will talk about the multiplicity-at-most-one theorem for the local GGP p
eriods for GPin and GSpin.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ashay Burungale (Caltech)
DTSTART:20210416T150000Z
DTEND:20210416T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/16
DESCRIPTION:Title: An even parity instance of the Goldfeld conjecture\nby Ashay Burunga
le (Caltech) as part of Queen Mary University of London Algebra and Number
Theory Seminar\n\n\nAbstract\nIn 1979 D. Goldfeld conjectured: 50% of the
quadratic twists of an elliptic curve over the rational numbers have ana
lytic rank zero. We present the first instance - the congruent number elli
ptic curves (joint with Y. Tian).\n
LOCATION:https://researchseminars.org/talk/QMULANTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Bartlett (Munster)
DTSTART:20210326T160000Z
DTEND:20210326T170000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/17
DESCRIPTION:Title: Breuil-Mezard identities in moduli spaces of Breuil-Kisin modules\nb
y Robin Bartlett (Munster) as part of Queen Mary University of London Alge
bra and Number Theory Seminar\n\n\nAbstract\nThe Breuil-Mezard conjectures
predicts relations between certain cycles\nin the moduli space of mod p G
alois representations\, in terms of the representation\ntheory of GLn(Fq).
\n\nIn this talk I will consider the special case where the cycles in ques
tion come from\ntwo dimensional crystalline representations with small Hod
ge-Tate weights. Under\nthese assumptions I will explain how the topologic
al aspects of these identities can\nbe obtained from analagous identities
appearing\, first inside the affine\nGrassmannian\, and then in moduli spa
ces of Breuil-Kisin modules.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Koji Shimizu (University of California\, Berkeley)
DTSTART:20211008T133000Z
DTEND:20211008T143000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/18
DESCRIPTION:Title: Robba cohomology for dagger spaces in positive characteristic\nby Ko
ji Shimizu (University of California\, Berkeley) as part of Queen Mary Uni
versity of London Algebra and Number Theory Seminar\n\n\nAbstract\nWe will
discuss a p-adic cohomology theory for rigid analytic varieties with over
convergent structure (dagger spaces) over a local field of characteristic
p. After explaining the motivation\, we will define a site (Robba site) an
d discuss its basic properties.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Max Kutler (The Ohio State University)
DTSTART:20211022T140000Z
DTEND:20211022T150000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/19
DESCRIPTION:Title: Motivic and topological zeta functions of matroids\nby Max Kutler (T
he Ohio State University) as part of Queen Mary University of London Algeb
ra and Number Theory Seminar\n\n\nAbstract\nWe associate to any matroid a
motivic zeta function. If the matroid is representable by a complex hyperp
lane arrangement\, then this coincides with the motivic Igusa zeta functio
n of the arrangement. Although the motivic zeta function is a valuative in
variant which is finer than the characteristic polynomial\, it is not obvi
ous how one should extract meaningful combinatorial data from the motivic
zeta function. One strategy is to specialize to the topological zeta funct
ion. I will survey what is known about these functions and\, time-permitti
ng\, discuss some open questions.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zicheng Qian (University of Toronto)
DTSTART:20211119T143000Z
DTEND:20211119T153000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/20
DESCRIPTION:Title: Moduli of Fontaine--Laffaille modules and a mod p local-global compatibi
lity result\nby Zicheng Qian (University of Toronto) as part of Queen
Mary University of London Algebra and Number Theory Seminar\n\n\nAbstract\
nIn a joint work with D. Le\, B. V. Le Hung\, S. Morra and C. Park\, we pr
ove\nunder standard Taylor--Wiles condition that the Hecke eigenspace atta
ched\nto a mod p global Galois representation $\\overline{r}$ determines t
he\nrestriction of $\\overline{r}$ at a place $v$ about p\, assuming that
$v$ is\nunramified over $p$ and $\\overline{r}$ has a 5n-generic\nFontaine
--Laffaille weight at $v$.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Morgan (University of Glasgow)
DTSTART:20211203T150000Z
DTEND:20211203T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/21
DESCRIPTION:Title: Integral Galois module structure of Mordell--Weil groups\nby Adam Mo
rgan (University of Glasgow) as part of Queen Mary University of London Al
gebra and Number Theory Seminar\n\n\nAbstract\nLet E/Q be an elliptic curv
e\, G a finite group and V a fixed finite dimensional rational representat
ion of G. As we run over G-extensions F/Q with E(F)⊗Q isomorphic to V \,
how does the Z[G]-module structure of E(F) vary from a statistical point
of view? I will report on joint work with Alex Bartel in which we propose
a heuristic giving a conjectural answer to an instance of this question\,
and make progress towards its proof. In the process I will relate the ques
tion to quantifying the failure of the Hasse principle in certain families
of genus 1 curves\, and explain a close analogy between these heuristics
and Stevenhagen's conjecture on the solubility of the negative Pell equati
on.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roozbeh Hazrat (Western Sydney University)
DTSTART:20211105T150000Z
DTEND:20211105T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/22
DESCRIPTION:Title: Leavitt path algebras\nby Roozbeh Hazrat (Western Sydney University)
as part of Queen Mary University of London Algebra and Number Theory Semi
nar\n\n\nAbstract\nWe give a down to earth overview of these algebras whic
h have been introduced 15 years ago and have found connections to all kind
of mathematics!\n
LOCATION:https://researchseminars.org/talk/QMULANTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Cartwright (University of Tennessee)
DTSTART:20211217T150000Z
DTEND:20211217T160000Z
DTSTAMP:20260422T213012Z
UID:QMULANTS/23
DESCRIPTION:Title: Characteristic sets of matroids\nby Dustin Cartwright (University of
Tennessee) as part of Queen Mary University of London Algebra and Number
Theory Seminar\n\n\nAbstract\nA matroid is a combinatorial abstraction of
the types of dependence relations that appear both as linear dependence in
vector spaces and algebraic dependence in field extensions. As not all ma
troids can be realized in either of these ways\, we can define the linear
and algebraic characteristic sets of a matroid as the set characteristics
of fields over which the matroid is realizable in a vector space or field
extension\, respectively. The focus of my talk will be the possible charac
teristic sets of matroids. An important tool will be the construction of a
lgebraic matroids from the ring of endomorphisms of a 1-dimensional connec
ted algebraic group. This is joint work with Dony Varghese.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/23/
END:VEVENT
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