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SUMMARY:Mikhail Kapranov (Kavli Institute for the Physics and Mathematics
of the Universe)
DTSTART:20211215T080000Z
DTEND:20211215T090000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/1
DESCRIPTION:Title: Euler continuants\, $N$-spherical functors and periodic
semi-orthogonal decompositions\nby Mikhail Kapranov (Kavli Institute f
or the Physics and Mathematics of the Universe) as part of Conference in h
onour of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Stek
lov Mathematical Institute.\n\nAbstract\nEuler continuants are polynomials
giving the universal numerators and denominators of finite continued frac
tions whose coefficients are independent variables. Remarkably\, they admi
t categorical lifts which are certain complexes of functors obtained from
iterated adjoints of a single functor. The totalizations of these complexe
s can be seen as higher analogs of spherical twists and cotwists. They lea
d to the concept of $N$-spherical functors which correspond to $N$-periodi
c semi-orthogonal decompositons (usual spherical functors are obtained for
$N=4$). Joint work in progress with T. Dyckerhoff and V. Schechtman.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michel Van den Bergh (Universiteit Hasselt)
DTSTART:20211215T091500Z
DTEND:20211215T101500Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/2
DESCRIPTION:Title: Deformations of triangulated categories with t-structure
\nby Michel Van den Bergh (Universiteit Hasselt) as part of Conference
in honour of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in
Steklov Mathematical Institute.\n\nAbstract\nWe discuss joint work with F
rancesco Genovese and Wendy Lowen in which we extend the deformation theor
y of abelian categories\, developed jointly with Wendy Lowen\, to the cont
ext of triangulated categories with t-structure.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Vishik (University of Nottingham)
DTSTART:20211215T123000Z
DTEND:20211215T133000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/3
DESCRIPTION:Title: On isotropic and numerical equivalence of cycles\nby
Alexander Vishik (University of Nottingham) as part of Conference in hono
ur of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov
Mathematical Institute.\n\nAbstract\nIsotropic motivic categories provide
local versions of the Voevodsky category of motives. Considered over “f
lexible fields”\, these categories are much handier than the global one
and more reminiscent of the topological counterpart. The pure part of them
\, the category of “isotropic Chow motives” is hypothetically equivale
nt to the category of “numerical Chow motives” (with finite coefficien
ts). This implies that isotropic realizations should provide a large suppl
y of new points for the tensor-triangulated spectrum ${\\rm Spc}({\\rm DM}
^c({\\mathbb k}))$ (in the sense of Balmer) of the Voevodsky category. I w
ill discuss the proof of this Conjecture for a range of new cases.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Polishchuk (University of Oregon)
DTSTART:20211215T140000Z
DTEND:20211215T150000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/4
DESCRIPTION:Title: Homological mirror symmetry for chain type polynomials\nby Alexander Polishchuk (University of Oregon) as part of Conference i
n honour of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in S
teklov Mathematical Institute.\n\nAbstract\nThis is a joint work with Umut
Varolgunes. We outline the proof of an equivalence between the Fukaya-Sei
del category of a chain type polynomial and the category of graded matrix
factorizations of the dual polynomial (modulo some general statements abou
t Fukaya-Seidel categories). The proof is based on a certain recursive con
struction for these categories.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernhard Keller (Institut de mathématiques de Jussieu)
DTSTART:20211216T080000Z
DTEND:20211216T090000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/5
DESCRIPTION:Title: Group actions on cluster categories from Ginzburg morphi
sms\nby Bernhard Keller (Institut de mathématiques de Jussieu) as par
t of Conference in honour of Alexey Bondal's 60th birthday\n\nLecture held
in Room 104 in Steklov Mathematical Institute.\n\nAbstract\nChris Fraser
has discovered a natural birational action of the extended affine braid gr
oup on $d$ strands on the Grassmannian of $k$-dimensional subspaces in $n$
-dimensional space. Here\, the integer $d$ is the greatest common divisor
of $k$ and $n$ and the action is via cluster transformations. In joint wor
k with Fraser\, we have shown how this action lifts to Jensen-King-Su's ad
ditive categorification of the Grassmannian. We will explain how it fits i
nto the theory of (relative) Calabi-Yau structures and (relative) Calabi-Y
au completions due to Ginzburg\, ...\, Toën\, Brav-Dyckerhoff and Yeung.\
n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxim Kontsevich (Institut des Hautes Études Scientifiques)
DTSTART:20211216T091500Z
DTEND:20211216T101500Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/6
DESCRIPTION:by Maxim Kontsevich (Institut des Hautes Études Scientifiques
) as part of Conference in honour of Alexey Bondal's 60th birthday\n\nLect
ure held in Room 104 in Steklov Mathematical Institute.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valery Lunts (Indiana University Bloomington)
DTSTART:20211216T123000Z
DTEND:20211216T133000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/7
DESCRIPTION:Title: Algebraicity of vector fields in characteristic zero and
characteristic $p>0$\nby Valery Lunts (Indiana University Bloomington
) as part of Conference in honour of Alexey Bondal's 60th birthday\n\nLect
ure held in Room 104 in Steklov Mathematical Institute.\n\nAbstract\nI wil
l discuss a conjecture of Shepherd-Baron and Ekhedal (unpublished) that a
distribution $E$ on a variety $\\mathbb Q$ over is algebraic (i.e. most le
aves are algebraic) if (and only if) for almost all primes $p$\, the reduc
tion $E_p$ is algebraic. This is a joint work in progress with D. Leshchin
er\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Rosly (Skoltech)
DTSTART:20211216T140000Z
DTEND:20211216T150000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/8
DESCRIPTION:by Alexey Rosly (Skoltech) as part of Conference in honour of
Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov Mathe
matical Institute.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shinnosuke Okawa (Osaka University)
DTSTART:20211217T080000Z
DTEND:20211217T090000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/9
DESCRIPTION:Title: On semiorthogonal indecomposability of irregular surface
s\nby Shinnosuke Okawa (Osaka University) as part of Conference in hon
our of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklo
v Mathematical Institute.\n\nAbstract\nRecently a couple of works appeared
which discuss semiorthogonal indecomposability of smooth projective varie
ties of positive irregularity ($=h^{0\,1}$). I will briefly recall these r
esults from a unified point of view and discuss the case of surfaces in de
tail.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agnieszka Bodzenta (University of Warsaw)
DTSTART:20211217T091500Z
DTEND:20211217T101500Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/10
DESCRIPTION:Title: Weakly localising subcategories of coherent sheaves and
isomorphisms in codimension two\nby Agnieszka Bodzenta (University of
Warsaw) as part of Conference in honour of Alexey Bondal's 60th birthday\
n\nLecture held in Room 104 in Steklov Mathematical Institute.\n\nAbstract
\nI will consider a weakly localising Serre subcategory $B$ in an abelian
category $A$\, i.e. a Serre subcategory such that the quotient $A/B$ admit
s a torsion pair with the torsion-free part equivalent to the category $E$
of $B$-closed objects. I will give sufficient conditions for $B$ to be we
akly localising in terms of torsion-tilting chains in $A$. I will also arg
ue that $T$-consistent pairs of t-structures of amplitude 2 are equivalent
to (strongly) torsion-tilting chains. Given a scheme $X$ of dimension $n$
\, the derived category ${\\rm D}(X)$ admits a $T$-consistent pair of t-st
ructures of amplitude $n$ which yields a pair of amplitude 2. As a result\
, the category ${\\rm Coh}_2(X)$ of sheaves supported in codimension 2 is
weakly localising. I will prove that\, under additional assumptions on $X$
\, the additive category $E_2(X)$ of locally ${\\rm Coh}_2(X)$-closed obje
cts allows us to reconstruct $X$ up to an isomorphism outside of codimensi
on 2. For a normal surface $X$ I will construct its final model $X'$ from
the additive category $E_2(X)$. I will argue that $X$ admits an open embed
ding into $X'$ with complement of codimension two and I will give conditio
ns under which $X$ is isomorphic to $X'$. This is based on a joint work wi
th A. Bondal.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilya Zhdanovskiy (MIPT)
DTSTART:20211217T120000Z
DTEND:20211217T130000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/11
DESCRIPTION:Title: On some questions of linear algebra\nby Ilya Zhdano
vskiy (MIPT) as part of Conference in honour of Alexey Bondal's 60th birth
day\n\nLecture held in Room 104 in Steklov Mathematical Institute.\n\nAbst
ract\nI will tell about geometric properties of commutators of projectors.
This talk is based on joint work with Anna Kocherova.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Efimov (Steklov Mathematical Institute of RAS)
DTSTART:20211217T131500Z
DTEND:20211217T141500Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/12
DESCRIPTION:Title: Mittag-Leffler inverse systems of DG categories\nby
Alexander Efimov (Steklov Mathematical Institute of RAS) as part of Confe
rence in honour of Alexey Bondal's 60th birthday\n\nLecture held in Room 1
04 in Steklov Mathematical Institute.\n\nAbstract\nWe will introduce a cer
tain class of sufficiently nice inverse systems of DG categories\, which w
e call (secondary) Mittag-Leffler systems. The basic examples are given by
the formal schemes and their noncommutative generalization. It can be sho
wn that for ML systems a certain non-standard inverse limit (in the dualiz
able world) has a reasonable description\, and it generalizes the category
of nuclear modules. Moreover\, we expect that for ML systems the K-theory
commutes with inverse limits.\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vyacheslav Shokurov (Steklov Mathematical Institute of RAS\, Johns
Hopkins University)
DTSTART:20211217T143000Z
DTEND:20211217T153000Z
DTSTAMP:20260404T131152Z
UID:Bondal60Conference/13
DESCRIPTION:by Vyacheslav Shokurov (Steklov Mathematical Institute of RAS\
, Johns Hopkins University) as part of Conference in honour of Alexey Bond
al's 60th birthday\n\nLecture held in Room 104 in Steklov Mathematical Ins
titute.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Bondal60Conference/13/
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