BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ciaran Schembri (Dartmouth College)
DTSTART;VALUE=DATE-TIME:20221115T130000Z
DTEND;VALUE=DATE-TIME:20221115T140000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/1
DESCRIPTION:Title: Torsion points on abelian surfaces with many endomorphisms\nby Ciaran Schembri (Dartmouth College) as part of Sheffield Number The
ory Seminar\n\nLecture held in J-11 Hicks Building.\n\nAbstract\nIn a cele
brated work Mazur classified which torsion subgroups can occur for ellipti
c curves defined over the rationals. A natural analogue is to consider sur
faces with geometric endomorphisms by a quaternion order\, since the assoc
iated moduli space is 1-dimensional. In this talk I will discuss progress
towards classifying which torsion subgroups are possible for these surface
s. This is joint work (in progress) with Jef Laga\, Ari Shnidman and John
Voight.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peiyi Cui (University of East Anglia)
DTSTART;VALUE=DATE-TIME:20221122T130000Z
DTEND;VALUE=DATE-TIME:20221122T140000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/2
DESCRIPTION:Title: Decompositions of the category of $\\ell$-modular representa
tions of $SL_n(F)$\nby Peiyi Cui (University of East Anglia) as part o
f Sheffield Number Theory Seminar\n\nLecture held in J-11 Hicks Building.\
n\nAbstract\nLet $F$ be a $p$-adic field\, and k an algebraically closed f
ield of characteristic $\\ell$ different from $p$. In this talk\, we will
first give a category decomposition of $Rep_k(SL_n(F))$\, the category of
smooth $k$-representations of $SL_n(F)$\, with respect to the $GL_n(F)$-eq
uivalent supercuspidal classes of $SL_n(F)$\, which is not always a block
decomposition in general. We then give a block decomposition of the superc
uspidal subcategory\, by introducing a partition on each $GL_n(F)$-equival
ent supercuspidal class through type theory\, and we interpret this partit
ion by the sense of $\\ell$-blocks of finite groups. We give an example wh
ere a block of $Rep_k(SL_2(F))$ is defined with respect to several $SL_2(F
)$-equivalent supercuspidal classes\, which is different from the case whe
re $\\ell$ is zero. We end this talk by giving a prediction on the block d
ecomposition of $Rep_k(A)$ for a general $p$-adic group $A$.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alice Pozzi (Imperial College London)
DTSTART;VALUE=DATE-TIME:20221129T130000Z
DTEND;VALUE=DATE-TIME:20221129T140000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/3
DESCRIPTION:Title: Tame triple product periods\nby Alice Pozzi (Imperial Co
llege London) as part of Sheffield Number Theory Seminar\n\nLecture held i
n J-11 Hicks Building.\n\nAbstract\nA recent conjecture proposed by Harris
and Venkatesh relates the action of derived Hecke operators on the space
of weight one modular forms to certain Stark units. In this talk\, I will
explain how this can be rephrased as a conjecture about "tame" analogues o
f triple product periods for a triple of mod p modular forms of weights (2
\,1\,1). I will then present an elliptic counterpart to this conjecture re
lating a tame triple product period to a regulator for global points of el
liptic curves. This is joint work with Henri Darmon.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nadir Matringe (Université Paris Cité)
DTSTART;VALUE=DATE-TIME:20221108T130000Z
DTEND;VALUE=DATE-TIME:20221108T140000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/4
DESCRIPTION:Title: Symmetric periods for automorphic forms on unipotent groups<
/a>\nby Nadir Matringe (Université Paris Cité) as part of Sheffield Numb
er Theory Seminar\n\nLecture held in J-11 Hicks Building.\n\nAbstract\nLet
$G$ be an algebraic group defined over a number field $k$ with ring of ad
eles $\\mathbb{A}$\, and let $\\sigma$ be a $k$-involution of $G$. Studyin
g the nonvanishing of (possible regularizations of) the period integral \n
$p: \\phi \\mapsto \\int_{G^\\sigma(k) \\backslash G^\\sigma(\\mathbb{A}}\
\phi(h)dh$ on topologically irreducible submodules of $L^2(G(k) \\backslas
h G(\\mathbb{A}))$ is a very popular topic when $G$ is reductive. Here I w
ill focus on the case where $G$ is unipotent\, and explain that $p$ does n
ot vanish on such a submodule $\\Pi$ if and only if $\\Pi^\\vee=\\Pi^\\sig
ma$.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Kurinczuk (University of Sheffield)
DTSTART;VALUE=DATE-TIME:20221004T120000Z
DTEND;VALUE=DATE-TIME:20221004T130000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/5
DESCRIPTION:Title: The integral Bernstein centre\nby Rob Kurinczuk (Univers
ity of Sheffield) as part of Sheffield Number Theory Seminar\n\nLecture he
ld in J-11 Hicks Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maleeha Khawaja (University of Sheffield)
DTSTART;VALUE=DATE-TIME:20221018T120000Z
DTEND;VALUE=DATE-TIME:20221018T130000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/6
DESCRIPTION:Title: The Fermat equation over real biquadratic fields\nby Mal
eeha Khawaja (University of Sheffield) as part of Sheffield Number Theory
Seminar\n\nLecture held in J-11 Hicks Building.\n\nAbstract\nWe will take
a look at an overview of the so called modular approach to Diophantine equ
ations. We will particularly focus on the obstacles that arise when applyi
ng this approach to the Fermat equation over real biquadratic fields\, usi
ng $\\Q(\\sqrt{2}\, \\sqrt{3})$ as an illustrating example.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rachel Newton (King's College London)
DTSTART;VALUE=DATE-TIME:20221206T130000Z
DTEND;VALUE=DATE-TIME:20221206T140000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/7
DESCRIPTION:Title: Distribution of genus numbers of abelian number fields\n
by Rachel Newton (King's College London) as part of Sheffield Number Theor
y Seminar\n\nLecture held in J-11 Hicks Building.\n\nAbstract\nLet K be a
number field and let L/K be an abelian extension. The genus field of L/K i
s the largest extension of L which is unramified at all places of L and ab
elian as an extension of K. The genus group is its Galois group over L\, w
hich is a quotient of the class group of L\, and the genus number is the s
ize of the genus group. We study the quantitative behaviour of genus numbe
rs as one varies over abelian extensions L/K with fixed Galois group. We g
ive an asymptotic formula for the average value of the genus number and sh
ow that any given genus number appears only 0% of the time. This is joint
work with Christopher Frei and Daniel Loughran.\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bodan Arsovski (University College London)
DTSTART;VALUE=DATE-TIME:20221214T140000Z
DTEND;VALUE=DATE-TIME:20221214T150000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131709Z
UID:SheffieldNumberTheory/8
DESCRIPTION:by Bodan Arsovski (University College London) as part of Sheff
ield Number Theory Seminar\n\nLecture held in J-11 Hicks Building.\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/SheffieldNumberTheory/8/
END:VEVENT
END:VCALENDAR