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BEGIN:VEVENT
SUMMARY:Florian Eisele (University of Manchester)
DTSTART;VALUE=DATE-TIME:20220117T140000Z
DTEND;VALUE=DATE-TIME:20220117T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/1
DESCRIPTION:Title: Bij
ections of silting complexes and derived Picard groups\nby Florian Eis
ele (University of Manchester) as part of Greek Algebra & Number Theory Se
minar\n\n\nAbstract\nI will start with an introduction to derived categori
es and derived equivalences of finite-dimensional algebras\, and the notio
n of silting complexes. I will then talk about results on two large classe
s of finite-dimensional algebras\, namely Brauer graph algebras and the we
ighted surface algebras introduced by Erdmann and Skowronski\, which show
that these algebras have multiplicity-independent sets of silting complexe
s. The key ingredient for this is the existence of lifts of these algebras
to orders over formal power series rings\, which are remarkably similar t
o orders over p-adic rings encountered in the modular representation theor
y of finite groups.\n
LOCATION:https://researchseminars.org/talk/GANT/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Céline Maistret (University of Bristol)
DTSTART;VALUE=DATE-TIME:20220124T140000Z
DTEND;VALUE=DATE-TIME:20220124T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/2
DESCRIPTION:Title: Par
ity of ranks of abelian surfaces\nby Céline Maistret (University of B
ristol) as part of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nLe
t $K$ be a number field and $A/K$ an abelian surface. By the Mordell-Weil
theorem\, the group of $K$-rational points on $A$ is finitely generated an
d as for elliptic curves\, its rank is predicted by the Birch and Swinnert
on-Dyer conjecture. A basic consequence of this conjecture is the parity c
onjecture: the sign of the functional equation of the L-series determines
the parity of the rank of $A/K$. \n\nAssuming finiteness of the Shafarevic
h-Tate group\, we prove the parity conjecture for principally polarized ab
elian surfaces under suitable local constraints. Using a similar approach
we show that for two elliptic curves $E_1$ and $E_2$ over $K$ with isomor
phic $2$-torsion\, the parity conjecture is true for $E_1$ if and only if
it is true for $E_2$. In both cases\, we prove analogous unconditional res
ults for Selmer groups.\n
LOCATION:https://researchseminars.org/talk/GANT/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ioannis Emmanouil (National and Kapodistrian University of Athens)
DTSTART;VALUE=DATE-TIME:20220207T140000Z
DTEND;VALUE=DATE-TIME:20220207T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/3
DESCRIPTION:Title: Hom
ological and homotopical properties of unbounded complexes\nby Ioannis
Emmanouil (National and Kapodistrian University of Athens) as part of Gre
ek Algebra & Number Theory Seminar\n\n\nAbstract\nBousfield localizing pai
rs in the homotopy category of a ring are non-linear analogues of cotorsio
n pairs in the module category. We shall present several examples of Bousf
ield localizing pairs that are related to acyclicity\, flatness and purity
.\n
LOCATION:https://researchseminars.org/talk/GANT/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angelos Koutsianas (Aristotle University of Thessaloniki)
DTSTART;VALUE=DATE-TIME:20220221T140000Z
DTEND;VALUE=DATE-TIME:20220221T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/4
DESCRIPTION:Title: Sol
ving generalized Fermat equations with Frey hyperelliptic curves\nby A
ngelos Koutsianas (Aristotle University of Thessaloniki) as part of Greek
Algebra & Number Theory Seminar\n\n\nAbstract\nIn this talk\, I will talk
about Darmon's program and the resolution of the generalized Fermat equat
ion of signature $(p\,p\,5)$ using Frey hyperelliptic curves. This is join
t work with Imin Chen (Simon Fraser University).\n
LOCATION:https://researchseminars.org/talk/GANT/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nikolaos Tziolas (University of Cyprus)
DTSTART;VALUE=DATE-TIME:20220314T140000Z
DTEND;VALUE=DATE-TIME:20220314T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/5
DESCRIPTION:Title: The
role of automorphisms in the classification of surfaces of general type i
n characteristic $p>0$.\nby Nikolaos Tziolas (University of Cyprus) as
part of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nThe classifi
cation of varieties of general type is one of the fundamental problems of
algebraic geometry. In characteristic zero it is known that varieties of g
eneral type with fixed volume have a coarse moduli space of finite type ov
er the base field and the corresponding moduli stack is Deligne-Mumford. I
n positive characteristic the first property is at the moment unknown if i
t holds in dimensions at least $3$ and the second fails in general in dime
nsion at least $2$.\n\nIn this talk I will explain how the failure of the
second property is related to the existence of varieties of general type
with non reduced automorphism scheme. I will present explicit examples of
such surfaces and present results regarding their geometry and the structu
re of their automorphism scheme.\n
LOCATION:https://researchseminars.org/talk/GANT/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicole Raulf (University of Lille)
DTSTART;VALUE=DATE-TIME:20220321T140000Z
DTEND;VALUE=DATE-TIME:20220321T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/6
DESCRIPTION:Title: Asy
mptotics of class numbers\nby Nicole Raulf (University of Lille) as pa
rt of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nIn this talk we
present results on the asymptotic behaviour of class numbers in the situa
tion that the class numbers are ordered by the size of the regulator. We a
lso will discuss the methods that can be used to obtain these results.\n
LOCATION:https://researchseminars.org/talk/GANT/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vasiliki Petrotou (University of Ioannina)
DTSTART;VALUE=DATE-TIME:20220404T130000Z
DTEND;VALUE=DATE-TIME:20220404T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/7
DESCRIPTION:Title: Tom
& Jerry Unprojection triples\nby Vasiliki Petrotou (University of Ioa
nnina) as part of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nUnp
rojection is a theory in Commutative Algebra due to Miles \nReid which con
structs and analyses more complicated rings from simpler \nones.\n\nThe ta
lk will be about a new format of unprojection which we call Tom \n& Jerry
triples. The motivation is to construct codimension $6$ Gorenstein\nrings
starting from codimension $3$. As an application we will construct \ntwo f
amilies of codimension $6$ Fano $3$-folds in weighted projective space.\n
LOCATION:https://researchseminars.org/talk/GANT/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marc Masdeu (Universitat Autònoma de Barcelona)
DTSTART;VALUE=DATE-TIME:20220418T130000Z
DTEND;VALUE=DATE-TIME:20220418T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/8
DESCRIPTION:Title: Num
erical experiments with plectic Darmon points\nby Marc Masdeu (Univers
itat Autònoma de Barcelona) as part of Greek Algebra & Number Theory Semi
nar\n\n\nAbstract\nLet $E/F$ be an elliptic curve defined over a number fi
eld $F$\, and let $K/F$ be a quadratic extension. If the analytic rank of
$E(K)$ is one\, one can often use Heegner points (or the more general Darm
on points) to produce (at least conjecturally) a nontorsion generator of $
E(K)$. If the analytic rank of $E(K)$ is larger than one\, the problem of
constructing algebraic points is still very open. In recent work\, Michele
Fornea and Lennart Gehrmann have introduced certain $p$-adic quantities t
hat may be conjecturally related to the existence of these points. In this
talk I will explain their construction\, and illustrate with some numeric
al experiments some support for their conjecture. This is joint work with
Michele Fornea and Xevi Guitart.\n
LOCATION:https://researchseminars.org/talk/GANT/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sofia Lambropoulou (National Technical University of Athens)
DTSTART;VALUE=DATE-TIME:20220502T130000Z
DTEND;VALUE=DATE-TIME:20220502T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/9
DESCRIPTION:Title: Bra
idings\, braid equivalences and Jones-type invariants\nby Sofia Lambro
poulou (National Technical University of Athens) as part of Greek Algebra
& Number Theory Seminar\n\n\nAbstract\nWe will present algorithms for turn
ing knots and links into braids in various diagrammatic settings. Then we
will explain the construction of Jones-type knot and link invariants via M
arkov traces onappropriate quotient algebras of braid groups\n
LOCATION:https://researchseminars.org/talk/GANT/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Morten Risager (University of Copenhagen)
DTSTART;VALUE=DATE-TIME:20220516T130000Z
DTEND;VALUE=DATE-TIME:20220516T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/10
DESCRIPTION:Title: Di
stributions of twists of multiple L-series of modular forms.\nby Morte
n Risager (University of Copenhagen) as part of Greek Algebra & Number The
ory Seminar\n\n\nAbstract\nStarting with a historical introduction involvi
ng Menogoli\, Goldbach\, Euler and Zagier we introduce certain additive tw
ists of multiple L-series. These turn out to be expressible through Manin
’s iterated integrals. We then go on to describe our recent work on the
distribution of the central values of these additive twists.\n
LOCATION:https://researchseminars.org/talk/GANT/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Frot (Alfréd Rényi Institute of Mathematics)
DTSTART;VALUE=DATE-TIME:20220606T130000Z
DTEND;VALUE=DATE-TIME:20220606T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/11
DESCRIPTION:Title: Ex
plicit bounds for prime gaps and graphic sequence\nby Robin Frot (Alfr
éd Rényi Institute of Mathematics) as part of Greek Algebra & Number The
ory Seminar\n\n\nAbstract\nA prime gap graph is defined to be a graph on $
n$ vertices with respective degrees $1$ and the $n-1$ first prime gaps. I
n a recent paper of P. Erdős\, G. Harcos\, S. Kharel\, P. Maga\, T. Mezei
\, Z. Toroczkai\, they proved that under RH\, prime gap graphs exist for e
very $n$. Also they exist unconditionally for $n$ large enough. Moreover\,
it is possible to give an iterative construction of these graphs. \n\nThe
ideas in this result lie between elementary number theory\, graph theory
and combinatorics. In this talk\, I will explain how to obtain this result
in its unconditional form\, while trying to find explicitly how large $n$
should be to get a graphic sequence.\n\nThis talk is based on the aforeme
ntioned paper\, and a joint work with Keshav Aggarwal.\n
LOCATION:https://researchseminars.org/talk/GANT/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tiago Cruz (Universität Stuttgart)
DTSTART;VALUE=DATE-TIME:20220523T130000Z
DTEND;VALUE=DATE-TIME:20220523T140000Z
DTSTAMP;VALUE=DATE-TIME:20220528T194347Z
UID:GANT/12
DESCRIPTION:Title: Ri
ngel self-duality via relative dominant dimension\nby Tiago Cruz (Univ
ersität Stuttgart) as part of Greek Algebra & Number Theory Seminar\n\n\n
Abstract\nQuasi-hereditary algebras provide an abstract framework for the
homological structure of Schur algebras and the BGG category $O$ of a semi
-simple Lie algebra and they always appear in pairs via Ringel duality.\n\
nIn this talk\, we discuss a generalisation of dominant dimension using re
lative homological algebra. This homological invariant is compatible with
the tools from integral representation theory and it increases our underst
anding of classical dominant dimension.\n\nIn particular\, this homologica
l invariant provides tools to deduce that quasi-hereditary covers formed b
y quasi-hereditary algebras with a simple preserving duality with large en
ough dominant dimension also appear in pairs. As an application\, we give
a new proof of Ringel self-duality of the blocks of the BGG category $O$ o
f a complex semi-simple Lie algebra.\n
LOCATION:https://researchseminars.org/talk/GANT/12/
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