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BEGIN:VEVENT
SUMMARY:Mikhail Kapranov (Kavli Institute for the Physics and Mathematics
of the Universe)
DTSTART:20211215T080000Z
DTEND:20211215T090000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/1
DESCRIPTION:Title: Euler continuants\, $N$-spherical functors and periodic semi-or
thogonal decompositions\nby Mikhail Kapranov (Kavli Institute for the
Physics and Mathematics of the Universe) as part of Conference in honour o
f Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov Mat
hematical Institute.\n\nAbstract\nEuler continuants are polynomials giving
the universal numerators and denominators of finite continued fractions w
hose coefficients are independent variables. Remarkably\, they admit categ
orical lifts which are certain complexes of functors obtained from iterate
d adjoints of a single functor. The totalizations of these complexes can b
e seen as higher analogs of spherical twists and cotwists. They lead to th
e concept of $N$-spherical functors which correspond to $N$-periodic semi-
orthogonal decompositons (usual spherical functors are obtained for $N=4$)
. Joint work in progress with T. Dyckerhoff and V. Schechtman.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michel Van den Bergh (Universiteit Hasselt)
DTSTART:20211215T091500Z
DTEND:20211215T101500Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/2
DESCRIPTION:Title: Deformations of triangulated categories with t-structure\nb
y Michel Van den Bergh (Universiteit Hasselt) 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\nWe discuss joint work with Francesc
o Genovese and Wendy Lowen in which we extend the deformation theory of ab
elian categories\, developed jointly with Wendy Lowen\, to the context of
triangulated categories with t-structure.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Vishik (University of Nottingham)
DTSTART:20211215T123000Z
DTEND:20211215T133000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/3
DESCRIPTION:Title: On isotropic and numerical equivalence of cycles\nby Alexan
der Vishik (University of Nottingham) as part of Conference in honour of A
lexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov Mathem
atical Institute.\n\nAbstract\nIsotropic motivic categories provide local
versions of the Voevodsky category of motives. Considered over “flexible
fields”\, these categories are much handier than the global one and mor
e reminiscent of the topological counterpart. The pure part of them\, the
category of “isotropic Chow motives” is hypothetically equivalent to t
he category of “numerical Chow motives” (with finite coefficients). Th
is implies that isotropic realizations should provide a large supply of ne
w points for the tensor-triangulated spectrum ${\\rm Spc}({\\rm DM}^c({\\m
athbb k}))$ (in the sense of Balmer) of the Voevodsky category. I will dis
cuss the proof of this Conjecture for a range of new cases.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Polishchuk (University of Oregon)
DTSTART:20211215T140000Z
DTEND:20211215T150000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/4
DESCRIPTION:Title: Homological mirror symmetry for chain type polynomials\nby
Alexander Polishchuk (University of Oregon) as part of Conference in honou
r of Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov
Mathematical Institute.\n\nAbstract\nThis is a joint work with Umut Varolg
unes. We outline the proof of an equivalence between the Fukaya-Seidel cat
egory of a chain type polynomial and the category of graded matrix factori
zations of the dual polynomial (modulo some general statements about Fukay
a-Seidel categories). The proof is based on a certain recursive constructi
on for these categories.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernhard Keller (Institut de mathématiques de Jussieu)
DTSTART:20211216T080000Z
DTEND:20211216T090000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/5
DESCRIPTION:Title: Group actions on cluster categories from Ginzburg morphisms
\nby Bernhard Keller (Institut de mathématiques de Jussieu) as part of Co
nference in honour of Alexey Bondal's 60th birthday\n\nLecture held in Roo
m 104 in Steklov Mathematical Institute.\n\nAbstract\nChris Fraser has dis
covered a natural birational action of the extended affine braid group on
$d$ strands on the Grassmannian of $k$-dimensional subspaces in $n$-dimens
ional space. Here\, the integer $d$ is the greatest common divisor of $k$
and $n$ and the action is via cluster transformations. In joint work with
Fraser\, we have shown how this action lifts to Jensen-King-Su's additive
categorification of the Grassmannian. We will explain how it fits into the
theory of (relative) Calabi-Yau structures and (relative) Calabi-Yau comp
letions due to Ginzburg\, ...\, Toën\, Brav-Dyckerhoff and Yeung.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxim Kontsevich (Institut des Hautes Études Scientifiques)
DTSTART:20211216T091500Z
DTEND:20211216T101500Z
DTSTAMP:20260422T212726Z
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://researchseminars.org/talk/Bondal60Conference/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Valery Lunts (Indiana University Bloomington)
DTSTART:20211216T123000Z
DTEND:20211216T133000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/7
DESCRIPTION:Title: Algebraicity of vector fields in characteristic zero and charac
teristic $p>0$\nby Valery Lunts (Indiana University Bloomington) as pa
rt of Conference in honour of Alexey Bondal's 60th birthday\n\nLecture hel
d in Room 104 in Steklov Mathematical Institute.\n\nAbstract\nI will discu
ss a conjecture of Shepherd-Baron and Ekhedal (unpublished) that a distrib
ution $E$ on a variety $\\mathbb Q$ over is algebraic (i.e. most leaves ar
e algebraic) if (and only if) for almost all primes $p$\, the reduction $E
_p$ is algebraic. This is a joint work in progress with D. Leshchiner\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Rosly (Skoltech)
DTSTART:20211216T140000Z
DTEND:20211216T150000Z
DTSTAMP:20260422T212726Z
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://researchseminars.org/talk/Bondal60Conference/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shinnosuke Okawa (Osaka University)
DTSTART:20211217T080000Z
DTEND:20211217T090000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/9
DESCRIPTION:Title: On semiorthogonal indecomposability of irregular surfaces\n
by Shinnosuke Okawa (Osaka University) as part of Conference in honour of
Alexey Bondal's 60th birthday\n\nLecture held in Room 104 in Steklov Mathe
matical Institute.\n\nAbstract\nRecently a couple of works appeared which
discuss semiorthogonal indecomposability of smooth projective varieties of
positive irregularity ($=h^{0\,1}$). I will briefly recall these results
from a unified point of view and discuss the case of surfaces in detail.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agnieszka Bodzenta (University of Warsaw)
DTSTART:20211217T091500Z
DTEND:20211217T101500Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/10
DESCRIPTION:Title: Weakly localising subcategories of coherent sheaves and isomor
phisms in codimension two\nby Agnieszka Bodzenta (University of Warsaw
) 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 consider a weakly localising Serre subcategory $B$ in an abelian categor
y $A$\, i.e. a Serre subcategory such that the quotient $A/B$ admits a tor
sion pair with the torsion-free part equivalent to the category $E$ of $B$
-closed objects. I will give sufficient conditions for $B$ to be weakly lo
calising in terms of torsion-tilting chains in $A$. I will also argue that
$T$-consistent pairs of t-structures of amplitude 2 are equivalent to (st
rongly) torsion-tilting chains. Given a scheme $X$ of dimension $n$\, the
derived category ${\\rm D}(X)$ admits a $T$-consistent pair of t-structure
s of amplitude $n$ which yields a pair of amplitude 2. As a result\, the c
ategory ${\\rm Coh}_2(X)$ 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 objects all
ows us to reconstruct $X$ up to an isomorphism outside of codimension 2. F
or a normal surface $X$ I will construct its final model $X'$ from the add
itive category $E_2(X)$. I will argue that $X$ admits an open embedding in
to $X'$ with complement of codimension two and I will give conditions unde
r which $X$ is isomorphic to $X'$. This is based on a joint work with A. B
ondal.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilya Zhdanovskiy (MIPT)
DTSTART:20211217T120000Z
DTEND:20211217T130000Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/11
DESCRIPTION:Title: On some questions of linear algebra\nby Ilya Zhdanovskiy (
MIPT) as part of Conference in honour of Alexey Bondal's 60th birthday\n\n
Lecture held in Room 104 in Steklov Mathematical Institute.\n\nAbstract\nI
will tell about geometric properties of commutators of projectors. This t
alk is based on joint work with Anna Kocherova.\n
LOCATION:https://researchseminars.org/talk/Bondal60Conference/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Efimov (Steklov Mathematical Institute of RAS)
DTSTART:20211217T131500Z
DTEND:20211217T141500Z
DTSTAMP:20260422T212726Z
UID:Bondal60Conference/12
DESCRIPTION:Title: Mittag-Leffler inverse systems of DG categories\nby Alexan
der Efimov (Steklov Mathematical Institute of RAS) 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\nWe will introduce a certain cl
ass of sufficiently nice inverse systems of DG categories\, which we call
(secondary) Mittag-Leffler systems. The basic examples are given by the fo
rmal schemes and their noncommutative generalization. It can be shown that
for ML systems a certain non-standard inverse limit (in the dualizable wo
rld) has a reasonable description\, and it generalizes the category of nuc
lear modules. Moreover\, we expect that for ML systems the K-theory commut
es with inverse limits.\n
LOCATION:https://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:20260422T212726Z
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://researchseminars.org/talk/Bondal60Conference/13/
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