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BEGIN:VEVENT
SUMMARY:Viacheslav Nikulin (Steklov Mathematical Institute\, Russia\; Univ
ersity of Liverpool\, UK)
DTSTART:20201022T080000Z
DTEND:20201022T090000Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/1
DESCRIPTION:Title: Classification of degenerations and Picard lattices of Kahlerian
K3 surfaces with finite symplectic automorphism group\nby Viacheslav
Nikulin (Steklov Mathematical Institute\, Russia\; University of Liverpool
\, UK) as part of “Algebraic geometry and arithmetic” Viacheslav Nikul
in’s 70th birthday conference\n\n\nAbstract\nI will speak about my resul
ts which I obtained during last years 2013-2020. This classification is al
most finished now. Only for very small symplectic automorphism groups of o
rder 4\, 3\, 2 and 1 it is not completely finished now.\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:JongHae Keum (KIAS\, Korea)
DTSTART:20201022T091500Z
DTEND:20201022T101500Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/2
DESCRIPTION:Title: Automorphism groups of cubic surfaces in arbitrary characteristi
c\nby JongHae Keum (KIAS\, Korea) as part of “Algebraic geometry and
arithmetic” Viacheslav Nikulin’s 70th birthday conference\n\nAbstract
: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valery Gritsenko (Université de Lille\, France\; NRU HSE\, Russia
)
DTSTART:20201022T121500Z
DTEND:20201022T131500Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/3
DESCRIPTION:Title: Reflective modular forms\, Lorentzian Kac-Moody algebras and alg
ebraic geometry\nby Valery Gritsenko (Université de Lille\, France\;
NRU HSE\, Russia) as part of “Algebraic geometry and arithmetic” Viach
eslav Nikulin’s 70th birthday conference\n\n\nAbstract\nIn my talk\, I w
ill review our recent joint results with Viacheslav Nikulin on Lorentzian
Kac-Moody algebras\, reflexive automorphic forms and their applications to
algebraic geometry.\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Prokhorov (Steklov Mathematical Institute\, NRU HSE\, Lomonos
ov Moscow State University\, Russia))
DTSTART:20201023T080000Z
DTEND:20201023T090000Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/4
DESCRIPTION:Title: On the rationality of Fano threefolds over non-closed fields
\nby Yuri Prokhorov (Steklov Mathematical Institute\, NRU HSE\, Lomonosov
Moscow State University\, Russia)) as part of “Algebraic geometry and ar
ithmetic” Viacheslav Nikulin’s 70th birthday conference\n\n\nAbstract\
nWe discuss rationality problem of smooth Fano threefolds of Picard number
one over algebraically non-closed fields. The talk is based on a joint wo
rk with A. Kuznetsov.\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shigeyuki Kondo (Nagoya University\, Japan)
DTSTART:20201023T091500Z
DTEND:20201023T101500Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/5
DESCRIPTION:Title: Enriques surfaces and Leech lattice\nby Shigeyuki Kondo (Nag
oya University\, Japan) as part of “Algebraic geometry and arithmetic”
Viacheslav Nikulin’s 70th birthday conference\n\n\nAbstract\nLet $L$ be
an even unimodular lattice of signature $(1\,25)$ which is unique up to i
somorphisms. J.H. Conway found a fundamental domain $C$ of the reflection
group of $L$ by using a theory of Leech lattice. Recently S. Brandhorst an
d I. Shimada have classified all primitive embeddings of $E_{10}(2)$ into
$L$\, where $E_{10}(2)$ is the pullback of the Picard lattice of an Enriqu
es surface to the covering K3 surface. There are exactly $17$ embeddings.
By restricting $C$ to the positive cone of $E_{10}\\otimes {\\bf R}$ we ob
tain $17$ polyhedrons. In this talk I would like to discuss the automorphi
sm groups of Enriques and Coble surfaces in terms of these polyhedrons.\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandra Sarti (Université de Poitiers\, France)
DTSTART:20201023T121500Z
DTEND:20201023T131500Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/6
DESCRIPTION:Title: K3 surfaces with maximal finite automorphism groups\nby Ales
sandra Sarti (Université de Poitiers\, France) as part of “Algebraic ge
ometry and arithmetic” Viacheslav Nikulin’s 70th birthday conference\n
\n\nAbstract\nIn the 80's Nikulin classified all the finite abelian groups
acting symplectically on a K3 surface and his results inspired an intensi
ve study of automorphism groups of K3 surfaces. It was shown by Mukai that
the maximum order of a finite group acting symplectically on a K3 surface
is 960 and that the group is isomorphic to the Mathieu group $M_{20}$. Th
en Kondo showed that the maximum order of a finite group acting on a K3 su
rface is 3840 and this group contains the Mathieu group with index four. K
ondo showed also that there is a unique K3 surface on which this group act
s\, which is a Kummer surface. I will present recent results on finite gro
ups acting on K3 surfaces\, that contain strictly the Mathieu group and I
will classify them. I will show that there are exactly three groups and th
ree K3 surfaces with this property. This is a joint work with C. Bonnafé.
\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valery Alexeev (University of Georgia\, USA)
DTSTART:20201023T133000Z
DTEND:20201023T143000Z
DTSTAMP:20260404T095735Z
UID:Nilkulin70/7
DESCRIPTION:Title: Degenerations of elliptic K3 surfaces\nby Valery Alexeev (Un
iversity of Georgia\, USA) as part of “Algebraic geometry and arithmetic
” Viacheslav Nikulin’s 70th birthday conference\n\n\nAbstract\nI will
describe degenerations of elliptic K3 surfaces\, both via Weierstrass mode
ls and Kulikov models that lead to a geometrically meaningful toroidal com
pactification of their moduli. Based on joint work with Engel and Brunyate
.\n
LOCATION:https://stable.researchseminars.org/talk/Nilkulin70/7/
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