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CALSCALE:GREGORIAN
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BEGIN:VEVENT
SUMMARY:Yukako Kezuka (Universitat Regensburg)
DTSTART:20201007T120000Z
DTEND:20201007T130000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/1
DESCRIPTION:Title: The arithmetic of twists of the Fermat elliptic curve\nby Yuka
ko Kezuka (Universitat Regensburg) as part of Queen Mary University of Lon
don Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Betts (Max Planck Institut for Mathematik(Bonn))
DTSTART:20201028T130000Z
DTEND:20201028T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/2
DESCRIPTION:Title: Galois and the Lawrence-Venkatesh method\nby Alex Betts (Max P
lanck Institut for Mathematik(Bonn)) as part of Queen Mary University of L
ondon Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hanneke Wiersema (King's College London)
DTSTART:20201104T130000Z
DTEND:20201104T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/3
DESCRIPTION:Title: Minimal weights of mod p Galois representations\nby Hanneke Wi
ersema (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 conjecture states that every two-dimensional continuous\, odd\, irreduci
ble mod p representation of the absolute Galois group of Q arises from a m
odular form of a specific minimal weight\, level and character. In this ta
lk we use modular representation theory to prove the minimal weight is equ
al to a notion of minimal weight inspired by work of Buzzard\, Diamond and
Jarvis. Moreover\, using the Breuil-Mézard conjecture we give a third in
terpretation of this minimal weight as the smallest k>1 such that the repr
esentation 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 general setting of mod p Galois representations over a totally real
field.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mandi Schaeffer Fry (Metropolitan State University of Denver)
DTSTART:20201111T160000Z
DTEND:20201111T170000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/4
DESCRIPTION:Title: The McKay—Navarro Conjecture: The Conjecture That Keeps on Givin
g!\nby Mandi Schaeffer Fry (Metropolitan State University of Denver) a
s part of Queen Mary University of London Algebra and Number Theory Semina
r\n\n\nAbstract\nThe McKay conjecture is one of the main open conjectures
in the realm of the local-global philosophy in character theory. It posit
s a bijection between the set of irreducible characters of a group with p
’-degree and the corresponding set in the normalizer of a Sylow p-subgro
up. In this talk\, I’ll give an overview of a refinement of the McKay co
njecture due to Gabriel Navarro\, which brings the action of Galois automo
rphisms into the picture. A lot of recent work has been done on this conj
ecture\, but possibly even more interesting is the amount of information i
t 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
implications the conjecture has had for other interesting character-theor
etic problems.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Clausen (University of Copenhagen)
DTSTART:20201118T130000Z
DTEND:20201118T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/5
DESCRIPTION:Title: Condensed sets\nby Dustin Clausen (University of Copenhagen) a
s part of Queen Mary University of London Algebra and Number Theory Semina
r\n\n\nAbstract\nI'll give an introduction to the category of condensed se
ts\, whose objects are similar to topological spaces but whose formal prop
erties are similar to those of the category of sets. I'll give the defini
tion\, explain the relation to topological spaces\, and sketch how one can
make some computations. This is joint work with Peter Scholze.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Clausen (University of Copenhagen)
DTSTART:20201125T130000Z
DTEND:20201125T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/6
DESCRIPTION:Title: Non-archimedean analysis and geometry\nby Dustin Clausen (Univ
ersity of Copenhagen) as part of Queen Mary University of London Algebra a
nd Number Theory Seminar\n\n\nAbstract\nBuliding on the previous talk\, I'
ll define a full subcategory of condensed abelian groups called "solid" ab
elian groups\, and explain how it yields a very convenient base category f
or non-archimedean analysis and geometry.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Nelson (ETH Zurich)
DTSTART:20201202T130000Z
DTEND:20201202T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/7
DESCRIPTION:Title: Theta functions\, fourth moments of eigenforms and the sup-norm pr
oblem\nby Paul Nelson (ETH Zurich) as part of Queen Mary University of
London Algebra and Number Theory Seminar\n\n\nAbstract\nI will discuss jo
int work with Raphael Steiner and Ilya Khayutin in which we study the sup
norm problem for GL(2) eigenforms in the squarefree level aspect. Unlike
the standard approach to the problem via arithmetic amplification followin
g Iwaniec--Sarnak\, we apply a method\, introduced earlier in other aspect
s by my collaborators\, which consists of identifying a fourth moment over
a family of eigenforms evaluated at the point of interest with the L^2-no
rm of a theta function defined using the correspondence of Eichler\, Shimi
zu and Jacquet--Langlands. After solving some counting problems (involvin
g both "linear" sums as in traditional approaches and new "bilinear" sums)
\, we obtain a bound comparable to the fourth root of the volume\, improvi
ng upon the trivial square root bound and the nontrivial cube root bound e
stablished by Harcos--Templier and Blomer--Michel. I will describe the pr
oof in the simplest case.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Berger (University of Sheffield)
DTSTART:20201209T130000Z
DTEND:20201209T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/8
DESCRIPTION:Title: Oddness of limits of automorphic Galois representations\nby To
bias Berger (University of Sheffield) as part of Queen Mary University of
London Algebra and Number Theory Seminar\n\n\nAbstract\nFor classical modu
lar forms f one knows that the associated Galois representation $\\rho_f:G
_{\\mathbf{Q}} \\to {\\rm GL}_2(\\overline{\\mathbf{Q}}_p)$ is odd\, in th
e 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
(Hebrew University) we prove that the Galois representations associated t
o certain irregular automorphic representations of U(a\,b) are odd\, gener
alizing a result of Bellaiche-Chenevier in the regular case. \n\nI will ex
plain our result and discuss its proof\, which uses V. Lafforgue's notion
of pseudocharacters and invariant theory.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jay Taylor (University of Southern California)
DTSTART:20201014T120000Z
DTEND:20201014T130000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/9
DESCRIPTION:Title: Unitriangularity of Decomposition Matrices of Unipotent Blocks
\nby Jay Taylor (University of Southern California) as part of Queen Mary
University of London Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Shotton (Durham University)
DTSTART:20201216T130000Z
DTEND:20201216T140000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/10
DESCRIPTION:Title: Shimura curves and Ihara's lemma\nby Jack Shotton (Durham Uni
versity) as part of Queen Mary University of London Algebra and Number The
ory Seminar\n\n\nAbstract\nIhara's lemma is a statement about the structur
e of the mod l cohomology of modular curves that was the key ingredient in
Ribet's results on level raising. I will motivate and explain its stateme
nt\, and then describe joint work with Jeffrey Manning on its extension to
Shimura curves.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Silversmith (Northeastern University)
DTSTART:20201021T150000Z
DTEND:20201021T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/11
DESCRIPTION:Title: Studying subschemes of affine/projective space via matroids\n
by Rob Silversmith (Northeastern University) as part of Queen Mary Univers
ity of London Algebra and Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Manami Roy (Fordham University)
DTSTART:20210312T160000Z
DTEND:20210312T170000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/12
DESCRIPTION:Title: Counting cuspidal automorphic representations of GSp(4)\nby M
anami Roy (Fordham University) as part of Queen Mary University of London
Algebra and Number Theory Seminar\n\n\nAbstract\nThere is a well-known con
nection between the Siegel modular forms of degree 2 and the automorphic r
epresentations of GSp(4). Using this relationship and the available dimens
ion formulas for the spaces of Siegel cusp forms of degree 2\, we count a
specific set of cuspidal automorphic representations of GSp(4). Consequent
ly\, we obtain an equidistribution result for a family of cuspidal automor
phic representations of GSp(4). This kind of equidistribution result is an
alogous to the so-called vertical Sato-Tate conjecture for GL(2). The meth
od of counting automorphic representations is also helpful for computing d
imensions of some spaces of Siegel cusp forms\, which are not yet known. T
he talk is based on a joint work with Ralf Schmidt and Shaoyun Yi.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Su (Cambridge University)
DTSTART:20210226T160000Z
DTEND:20210226T170000Z
DTSTAMP:20260404T111414Z
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
subgroups\, with algebraic representations as coefficients\, has played an
important role in the construction of Langlands correspondence. Tradition
ally the first step to access these objects is to view them as cohomology
of sheaves on locally symmetric spaces and hence connect them with spaces
of functions. However\, sometimes infinite dimensional coeffients also nat
urallhy arise\, e.g. when you try to attach elliptic curves to weight 2 ei
genforms on GL_2/an imaginary cubic field\, and the sheaf theoretic viewpo
int might no longer be fruitful. In this talk we'll explain a very simple
alternative understanding of the connection between arithmetic group cohom
ology (with finite dimensional coefficients) and function spaces\, and dis
cuss its application to infinite dimensional coefficients.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ariel Pacetti (University of Aveiro)
DTSTART:20210319T160000Z
DTEND:20210319T170000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/14
DESCRIPTION:Title: Modularity of abelian surfaces\nby Ariel Pacetti (University
of Aveiro) as part of Queen Mary University of London Algebra and Number T
heory Seminar\n\n\nAbstract\nThe paramodular conjecture states a relation
between rational abelian surfaces (without extra endomorphisms) and some s
iegel modular forms. It is a generalization of the 1-dimensional case\, na
mely the Shimura-Taniyama conjecture. In this talk I will explain the conj
ecture\, its relation to modularity of elliptic curves over quadratic fiel
ds\, the state of the art of the conjecture and some mention some proven c
ases. If time allows\, I will present a Bianchi newform over Q(\\sqrt{-7})
with rational eigenvalues which is attached to an abelian surface over Q(
√ −7) (and explain its relation with the conjecture).\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuichiro Takeda (University of Missouri)
DTSTART:20210402T150000Z
DTEND:20210402T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/15
DESCRIPTION:Title: Multiplicity-at-most-one theorem for GSpin and GPin\nby Shuic
hiro Takeda (University of Missouri) as part of Queen Mary University of
London Algebra and Number Theory Seminar\n\n\nAbstract\nLet V be a quadrat
ic space over a nonarchimedean local field of characteristic 0. The orthog
onal group O(V) and the special orthogonal group SO(V) have a unique nontr
ivial GL_1 -extension called GPin(V) and GSpin(V)\, respectively. Let W\\s
ubseteq V be a subspace of codimension 1. Then there are natural inclusio
ns GPin(W)\\subseteq GPin(V) and GSpin(W)\\subseteq GSpin(V). One can then
consider the Gan-Gross-Prasad (GGP) periods for GPin and GSpin. In this t
alk\, I will talk about the multiplicity-at-most-one theorem for the loca
l GGP periods for GPin and GSpin.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ashay Burungale (Caltech)
DTSTART:20210416T150000Z
DTEND:20210416T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/16
DESCRIPTION:Title: An even parity instance of the Goldfeld conjecture\nby Ashay
Burungale (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 h
ave analytic rank zero. We present the first instance - the congruent numb
er elliptic curves (joint with Y. Tian).\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Bartlett (Munster)
DTSTART:20210326T160000Z
DTEND:20210326T170000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/17
DESCRIPTION:Title: Breuil-Mezard identities in moduli spaces of Breuil-Kisin modules
\nby Robin Bartlett (Munster) as part of Queen Mary University of Lond
on Algebra and Number Theory Seminar\n\n\nAbstract\nThe Breuil-Mezard conj
ectures predicts relations between certain cycles\nin the moduli space of
mod p Galois representations\, in terms of the representation\ntheory of G
Ln(Fq).\n\nIn this talk I will consider the special case where the cycles
in question come from\ntwo dimensional crystalline representations with sm
all Hodge-Tate weights. Under\nthese assumptions I will explain how the to
pological aspects of these identities can\nbe obtained from analagous iden
tities appearing\, first inside the affine\nGrassmannian\, and then in mod
uli spaces of Breuil-Kisin modules.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Koji Shimizu (University of California\, Berkeley)
DTSTART:20211008T133000Z
DTEND:20211008T143000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/18
DESCRIPTION:Title: Robba cohomology for dagger spaces in positive characteristic
\nby Koji Shimizu (University of California\, Berkeley) as part of Queen M
ary University of London Algebra and Number Theory Seminar\n\n\nAbstract\n
We will discuss a p-adic cohomology theory for rigid analytic varieties wi
th overconvergent structure (dagger spaces) over a local field of characte
ristic p. After explaining the motivation\, we will define a site (Robba s
ite) and discuss its basic properties.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Max Kutler (The Ohio State University)
DTSTART:20211022T140000Z
DTEND:20211022T150000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/19
DESCRIPTION:Title: Motivic and topological zeta functions of matroids\nby Max Ku
tler (The Ohio State University) as part of Queen Mary University of Londo
n Algebra and Number Theory Seminar\n\n\nAbstract\nWe associate to any mat
roid a motivic zeta function. If the matroid is representable by a complex
hyperplane arrangement\, then this coincides with the motivic Igusa zeta
function of the arrangement. Although the motivic zeta function is a valua
tive invariant which is finer than the characteristic polynomial\, it is n
ot obvious how one should extract meaningful combinatorial data from the m
otivic zeta function. One strategy is to specialize to the topological zet
a function. I will survey what is known about these functions and\, time-p
ermitting\, discuss some open questions.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zicheng Qian (University of Toronto)
DTSTART:20211119T143000Z
DTEND:20211119T153000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/20
DESCRIPTION:Title: Moduli of Fontaine--Laffaille modules and a mod p local-global co
mpatibility result\nby Zicheng Qian (University of Toronto) as part of
Queen Mary University of London Algebra and Number Theory Seminar\n\n\nAb
stract\nIn a joint work with D. Le\, B. V. Le Hung\, S. Morra and C. Park\
, we prove\nunder standard Taylor--Wiles condition that the Hecke eigenspa
ce attached\nto a mod p global Galois representation $\\overline{r}$ deter
mines the\nrestriction of $\\overline{r}$ at a place $v$ about p\, assumin
g that $v$ is\nunramified over $p$ and $\\overline{r}$ has a 5n-generic\nF
ontaine--Laffaille weight at $v$.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Morgan (University of Glasgow)
DTSTART:20211203T150000Z
DTEND:20211203T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/21
DESCRIPTION:Title: Integral Galois module structure of Mordell--Weil groups\nby
Adam Morgan (University of Glasgow) as part of Queen Mary University of Lo
ndon Algebra and Number Theory Seminar\n\n\nAbstract\nLet E/Q be an ellipt
ic curve\, G a finite group and V a fixed finite dimensional rational repr
esentation 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 p
ropose a heuristic giving a conjectural answer to an instance of this ques
tion\, and make progress towards its proof. In the process I will relate t
he question to quantifying the failure of the Hasse principle in certain f
amilies of genus 1 curves\, and explain a close analogy between these heur
istics and Stevenhagen's conjecture on the solubility of the negative Pell
equation.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roozbeh Hazrat (Western Sydney University)
DTSTART:20211105T150000Z
DTEND:20211105T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/22
DESCRIPTION:Title: Leavitt path algebras\nby Roozbeh Hazrat (Western Sydney Univ
ersity) as part of Queen Mary University of London Algebra and Number Theo
ry Seminar\n\n\nAbstract\nWe give a down to earth overview of these algebr
as which have been introduced 15 years ago and have found connections to a
ll kind of mathematics!\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Cartwright (University of Tennessee)
DTSTART:20211217T150000Z
DTEND:20211217T160000Z
DTSTAMP:20260404T111414Z
UID:QMULANTS/23
DESCRIPTION:Title: Characteristic sets of matroids\nby Dustin Cartwright (Univer
sity of Tennessee) as part of Queen Mary University of London Algebra and
Number Theory Seminar\n\n\nAbstract\nA matroid is a combinatorial abstract
ion of the types of dependence relations that appear both as linear depend
ence in vector spaces and algebraic dependence in field extensions. As not
all matroids can be realized in either of these ways\, we can define the
linear and algebraic characteristic sets of a matroid as the set character
istics 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
characteristic sets of matroids. An important tool will be the constructi
on of algebraic matroids from the ring of endomorphisms of a 1-dimensional
connected algebraic group. This is joint work with Dony Varghese.\n
LOCATION:https://stable.researchseminars.org/talk/QMULANTS/23/
END:VEVENT
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