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BEGIN:VEVENT
SUMMARY:Giovanni Bazzoni (Università degli Studi dell'Insubria)
DTSTART:20201020T150000Z
DTEND:20201020T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/1
DESCRIPTION:Title: Symmetric and skew-symmetric complex structures\nby Giovanni Bazz
oni (Università degli Studi dell'Insubria) as part of Differential Geomet
ry Seminar Torino\n\n\nAbstract\nIn this talk we study the geometry of a c
omplex manifold $(M\,J)$ endowed with a closed\, non-degenerate 2-form $\\
omega$ with respect to which $J$ is either symmetric or skew-symmetric. Th
is leads to\, respectively\, complex-symplectic and pseudo-Kähler structu
res. Complex symplectic structures are related to a number of other geomet
ric structures\, such as (hyper)Kähler\, hypercomplex\, and hypersymplect
ic. We are interested in examples of manifolds which carry some of these s
tructures\, but no others. Joint work with M. Freibert\, A. Gil García\,
A. Latorre\, B. Meinke.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wayne Rossman (Kobe University)
DTSTART:20201028T090000Z
DTEND:20201028T100000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/2
DESCRIPTION:Title: Darboux flow and semi-discrete mKdV equation\nby Wayne Rossman (K
obe University) as part of Differential Geometry Seminar Torino\n\nAbstrac
t: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tommaso Pacini (Università degli Studi di Torino)
DTSTART:20201117T160000Z
DTEND:20201117T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/3
DESCRIPTION:Title: From calibrated geometry to holomorphic invariants\nby Tommaso Pa
cini (Università degli Studi di Torino) as part of Differential Geometry
Seminar Torino\n\n\nAbstract\nThe seminar will address questions such as:
(i) How to use submanifolds to study the ambient space\, (ii) How to use i
deas from calibrated geometry to build new holomorphic invariants\, (iii)
How to calculate these invariants\, and why we might care.\nThis will be a
non-technical survey of my recent research and of its context within clas
sical complex analysis and the current theory of manifolds with special ho
lonomy.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mason Pember (Politecnico di Torino)
DTSTART:20201120T150000Z
DTEND:20201120T154000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/4
DESCRIPTION:Title: Spherical curves in Lie sphere geometry\nby Mason Pember (Politec
nico di Torino) as part of Differential Geometry Seminar Torino\n\n\nAbstr
act\nBlaschke showed that a surface with one family of spherical curvature
lines can be parametrised via a certain flow of an initial curve on a sph
ere. In this talk we characterise when this surface is additionally a Lie
applicable surface\, by restricting the flow and the initial curve. It tu
rns out that the initial curve must project to a constrained elastic curve
in some space form\, which leads us to a Lie geometric characterisation o
f such curves.\n\nThis talk will be held on the occasion of the PRIN semin
ar organised by the Politecnico di Torino PRIN unit.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Vollmer (Politecnico di Torino)
DTSTART:20201120T155000Z
DTEND:20201120T163000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/5
DESCRIPTION:Title: Two-dimensional superintegrable metrics with symmetries that preserve
geodesic curves\nby Andreas Vollmer (Politecnico di Torino) as part o
f Differential Geometry Seminar Torino\n\n\nAbstract\nIn 1882\, Sophus Lie
formulated the task to describe two-dimensional metrics admitting non-tri
vial symmetries that preserve geodesics up to reparametrisation. Such symm
etries are called projective. Lie's Problem has been resolved in recent ye
ars in terms of a classification up to diffeomorphisms (Bryant-Manno-Matve
ev 2008\, Matveev 2012 and Manno-V 2020).\n\nThe talk will focus on a dist
inct subclass of these metrics\, namely those that are superintegrable wit
h quadratic integrals of motion. Generally speaking a metric is superinteg
rable if it admits a maximal amount of independent constants of motion.\nM
atveev's geometries are a particular example\, in which case the projectiv
e symmetry is unique. It turns out that all of Matveev's geometries share
the same geodesics up to reparametrisation (in other words\, they are proj
ectively equivalent). The associated superintegrable systems are of non-de
generate type meaning that they admit a four-parameter potential.\n\nThis
talk will be held on the occasion of the PRIN seminar organised by the Pol
itecnico di Torino PRIN unit.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jason Lotay (University of Oxford)
DTSTART:20201201T160000Z
DTEND:20201201T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/6
DESCRIPTION:Title: Minimal Lagrangians and where to find them\nby Jason Lotay (Unive
rsity of Oxford) as part of Differential Geometry Seminar Torino\n\n\nAbst
ract\nA classical problem going back to ancient Greece is to find the shor
test curve in the plane enclosing a given area: the isoperimetric problem.
A similar question is whether given a curve on a surface it can be deform
ed to a shortest one. Whilst the solutions to these classical problems are
well-known\, natural generalisations in higher dimensions are mostly unso
lved. I will explain how this leads us to the study of minimal Lagrangians
and the question of how to find them\, which will take us to the interfac
e between symplectic topology\, Riemannian geometry and analysis of nonlin
ear PDEs\, with links to theoretical physics.\n\nThis talk will be held on
the occasion of the PRIN seminar organised by the Università di Torino P
RIN unit.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Ivey (College of Charleston)
DTSTART:20201214T160000Z
DTEND:20201214T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/7
DESCRIPTION:Title: New Integrable Curve Flows in the Pseudoconformal 3-Sphere\nby Th
omas Ivey (College of Charleston) as part of Differential Geometry Seminar
Torino\n\n\nAbstract\nThe pseudoconformal 3-sphere $S^3$ is the projectiv
ization of the null cone in $\\mathbb C^3$ with the standard pseudo-Hermit
ian inner product. The Lie group $SU(2\,1)$ fixing this metric naturally a
cts on the sphere\, preserving a contact structure\, and can be identified
with the pseudoconformal frame bundle of $S^3$. By normalizing lifts to t
he frame bundle\, we define scalar geometric invariants for Legendrian cur
ves (L-curves) in $S^3$\, and for curves transverse to the contact planes
(T-curves).\nWe seek invariant geometric flows for these parametrized curv
es that induce integrable evolution systems for the invariants. While ther
e is an infinite sequence of geometric flows for L-curves inducing the Bou
ssinesq hierarchy\, for T-curves there is another infinite sequence of flo
ws that induces a sequence of 3-component evolution systems for the invari
ants\, evidently a novel integrable bi-Hamiltonian hierarchy. This closel
y resembles the NLS hierarchy\, itself realized by a sequence of curve flo
ws in Euclidean 3-space\, including the vortex filament equation. We disc
uss some common features of these hierarchies\, describe the geometry and
dynamics of travelling wave solutions (also arising as critical curves for
Lagrangians derived from the conserved densities) and conclude with some
open questions.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Bonsante (Università degli Studi di Pavia)
DTSTART:20210127T160000Z
DTEND:20210127T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/8
DESCRIPTION:Title: Minimizing immersions of surfaces in hyperbolic 3-manifolds\nby F
rancesco Bonsante (Università degli Studi di Pavia) as part of Differenti
al Geometry Seminar Torino\n\n\nAbstract\nTrapani and Valle proposed to st
udy the L^1 holomorphic energy of diffeomorphisms between Riemannian surfa
ces. This is defined as the L^1-norm of the (1\,0)-part of the differentia
l of the map. They proved that if the domain and the target are surfaces o
f negative curvature\, any homotopy class of diffeomorphisms contains a un
ique minimizer for the functional. In a recent work with Gabriele Mondello
and Jean-Marc Schlenker we tried to generalize the functional in the set
ting where the domain is a hyperbolic surface and the target a hyperbolic
3-manifold. The functional here is the L^1-Shatten energy\, which in fact
coincides with the L^1-holomorphic energy in the 2-dimensional case. More
concretely we considered the space of equivariant maps of the universal co
vering of a fixed surface of genus g into the hyperbolic space\, and stud
ied maps which minimize the L^1-Shatten energy on fibers of the monodromy
map. We proved that the space of such minimizing maps is naturally a compl
ex manifold of dimension 6g-6\, where g is the genus of the surface\, so t
hat the monodromy map realize a holomorphic embedding onto some open subse
t of the PSL_2(C)-character variety containing the Fuchsian locus.\n\nIn t
he talk I will describe the main results of this joint work.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ben Sharp (University of Leeds)
DTSTART:20210209T160000Z
DTEND:20210209T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/9
DESCRIPTION:Title: Łojasiewicz-type inequalities for the H-functional near simple bubbl
e trees\nby Ben Sharp (University of Leeds) as part of Differential Ge
ometry Seminar Torino\n\n\nAbstract\nThe H-functional E is a natural varia
nt of the Dirichlet energy along maps u from a closed surface S into R^3.
Critical points of E include conformal parameterisations of constant mean
curvature surfaces in R^3. The functional itself is unbounded from above a
nd below on H^1(S\,R^3)\, but all critical points have H-energy E at least
4π/3\, with equality attained if and only if we are parametrising a roun
d sphere (so S itself must be a sphere) - this is the classical isoperimet
ric inequality.\n\nHere we will address the simple question: can one appro
ach the natural lower energy bound by critical points along fixed surfaces
of higher genus? In fact we prove more subtle quantitative estimates for
any (almost-)critical point whose energy is close to 4π/3. Standard theor
y tells us that a sequence of (almost-)critical points on a fixed torus T\
, whose energy approaches 4π/3\, must bubble-converge to a sphere: there
is a shrinking disc on the torus that gets mapped to a larger and larger r
egion of the round sphere\, and away from the disc our maps converge to a
constant. Thus the limiting object is really a map from a sphere to R^3\,
and the challenge is to compare maps from a torus with the limiting map (i
.e. a change of topology in the limit). In particular we can prove a gap t
heorem for the lowest energy level on a fixed surface and estimate the rat
es at which bubbling maps u are becoming spherical in terms of the size of
dE[u] - these are commonly referred to as Łojasiewicz-type estimates. \n
\nThis is a joint work with Andrea Malchiodi (SNS Pisa) and Melanie Rupfli
n (Oxford).\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Matveev (Universität Jena)
DTSTART:20210223T160000Z
DTEND:20210223T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/10
DESCRIPTION:Title: Nijenhuis geometry\, multihamiltonian systems of hydrodynamic type a
nd geodesic equivalence\nby Vladimir Matveev (Universität Jena) as pa
rt of Differential Geometry Seminar Torino\n\n\nAbstract\nWe connect two a
priori unrelated topics\, theory of geodesically equivalent metrics in di
fferential geometry\, and theory of compatible infinite dimensional Poisso
n brackets of hydrodynamic type in mathematical physics. \n\nNamely\, we
prove that a pair of geodesically equivalent metrics such that one is flat
produces a pair of such brackets. We construct Casimirs for these bracket
s and the corresponding commuting flows. \n\nThere are two ways to produce
a large family of compatible Poisson structures from a pair of geodesical
ly equivalent metrics one of which is flat. One of these families is $(n+
1)(n+2)/2$ dimensional\; we describe it completely and show that it is max
imal. Another has dimension $\\le n+2$ and is\, in a certain sense\, polyn
omial. We show that a nontrivial polynomial family of compatible Poisson s
tructures of dimension $n+2$ is unique and comes from a pair of geodesical
ly equivalent metrics.\n\nThe talk based on a series of joint publications
with A. Bolsinov (Lboro) and A. Konyaev (Moscow)\; the most related one i
s https://arxiv.org/abs/2009.07802\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastien Picard (University of British Columbia)
DTSTART:20210309T160000Z
DTEND:20210309T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/11
DESCRIPTION:Title: Metrics Through Non-Kahler Transitions\nby Sebastien Picard (Uni
versity of British Columbia) as part of Differential Geometry Seminar Tori
no\n\n\nAbstract\nIt was proposed by Clemens\, Friedman and Reid to connec
t Calabi-Yau threefolds of different topologies by an operation known as a
conifold transition. However\, this process may produce a non-Kahler comp
lex manifold with trivial canonical bundle. We will consider conifold tran
sitions from the point of view of differential geometry and discuss passin
g special metrics through a non-Kahler transition.\n\nThis is joint work w
ith T.C. Collins and S.-T. Yau.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lorenzo Mazzieri (Università degli Studi di Trento)
DTSTART:20210324T130000Z
DTEND:20210324T140000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/12
DESCRIPTION:Title: Serrin-type theorems for domains with disconnected boundary\nby
Lorenzo Mazzieri (Università degli Studi di Trento) as part of Differenti
al Geometry Seminar Torino\n\n\nAbstract\nWe prove new optimal symmetry re
sults for solutions to the torsion problem on domains with disconnected bo
undary. \nTime permitting\, we discuss their relations with the uniqueness
theorem for the Schwarzschild-de Sitter static black hole in general rela
tivity. \nThe results are obtained in collaboration with V. Agostiniani an
d S. Borghini.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yury Ustinovskiy (New York University)
DTSTART:20210412T150000Z
DTEND:20210412T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/13
DESCRIPTION:Title: Gibbons-Hawking ansatz and Generalized Kahler solitons\nby Yury
Ustinovskiy (New York University) as part of Differential Geometry Seminar
Torino\n\n\nAbstract\nIn the last decades geometric flows have been prove
d to be a powerful tool in the classification and uniformization problems
in geometry and topology. Despite the wide range of applicability of the e
xisting analytical methods\, we are still lacking efficient tools adapted
to the study of general (non-Kahler) complex manifolds. In my talk I will
discuss the pluriclosed flow - a modification of the Ricci flow - which wa
s introduced by Streets and Tian\, and shares many nice features of the Ri
cci flow. The important open questions driving the ongoing research in com
plex geometry are the classification of compact non-Kahler surfaces\, and
the Global Spherical Shell conjecture. Our hope is that understanding the
long-time behaviour and singularities of the pluriclosed flow well enough\
, we can use it to approach these open questions.\n\nTo apply an analytic
flow to any geometric problem\, we need to make the first necessary step -
classify the stationary points of the flow\, and\, more generally\, its s
olitons (stationary points modulo diffeomorphisms). For the pluriclosed fl
ow\, this question reduces to a non-linear elliptic PDE for an Hermitian m
etric on a given complex manifold. We will discuss this problem on compact
/complete complex surfaces\, and provide exhaustive classification under n
atural extra geometric assumptions. In the course of our classification we
will discover a natural extension of the famous Gibbons-Hawking ansatz fo
r hyperKahler manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christos-Raent Onti (University of Cyprus)
DTSTART:20210429T150000Z
DTEND:20210429T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/14
DESCRIPTION:Title: A class of Einstein submanifolds of Euclidean space\nby Christos
-Raent Onti (University of Cyprus) as part of Differential Geometry Semina
r Torino\n\n\nAbstract\nThe knowledge on the subject of Euclidean Einstein
submanifolds\, except those with constant sectional curvature\, is quite
limited. In fact\, as far as we know\, until now the only classification r
esult available under purely intrinsic assumptions is in the case of hyper
surfaces\, due to an observation by Cartan communicated by Thomas in 1937
and the work of Fialkow from 1938. In the talk\, I will discuss the charac
terization of a class of Einstein manifolds isometrically immersed into Eu
clidean space as rotational submanifolds. The highlight is for submanifold
s in codimension two since in this case our assumptions are purely intrins
ic. This is a joint work with Marcos Dajczer (IMPA) and Theodoros Vlachos
(University of Ioannina).\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Moroianu (Université Paris-Saclay)
DTSTART:20210511T150000Z
DTEND:20210511T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/15
DESCRIPTION:Title: Metric connections with parallel torsion\nby Andrei Moroianu (Un
iversité Paris-Saclay) as part of Differential Geometry Seminar Torino\n\
n\nAbstract\nThe torsion of every metric connection on a Riemannian manifo
ld has three components: one totally skew-symmetric\, one of vectorial typ
e\, and one of twistorial type. In the first part of the talk I will expla
in the classification of complete simply connected Riemannian manifolds ca
rrying a metric connection whose torsion is parallel\, has non-zero vector
ial component and vanishing twistorial component. In the second part I wi
ll describe the case where the only non-vanishing component of the torsion
is totally skew-symmetric. Although apparently simpler than the previous
case\, the situation here is much more involved and a complete classificat
ion is currently not available. The talk is based on joint works with Miha
ela Pilca and Uwe Semmelmann.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giuseppe Tinaglia (King's College London)
DTSTART:20210519T090000Z
DTEND:20210519T100000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/16
DESCRIPTION:Title: The geometry of constant mean curvature surfaces in Euclidean space<
/a>\nby Giuseppe Tinaglia (King's College London) as part of Differential
Geometry Seminar Torino\n\n\nAbstract\nI will begin by reviewing classical
geometric properties of constant mean curvature surfaces\, H>0\, in R^3.
I will then talk about several more recent results for surfaces embedded i
n R^3 with constant mean curvature\, such as curvature and radius estimate
s. I will show applications of such estimates including a characterisation
of the round sphere as the only simply-connected surface embedded in R^3
with constant mean curvature and area estimates for compact surfaces embed
ded in a flat torus with constant mean curvature and finite genus. I will
also talk about the geometry of compact hyper surfaces embedded in a manif
old with constant mean curvature and finite index.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolina Istrati (Philipps Universität Marburg)
DTSTART:20210608T150000Z
DTEND:20210608T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/17
DESCRIPTION:Title: On some variational problems in conformal geometry\nby Nicolina
Istrati (Philipps Universität Marburg) as part of Differential Geometry S
eminar Torino\n\n\nAbstract\nI will present several natural functionals de
fined on a conformal class of almost Hermitian metrics on a compact manifo
ld\, and I will establish their Euler-Lagrange equations. I will show that
the Gauduchon metrics appear naturally as the unique extremal metrics of
one such functional. Next\, a new class of metrics will be introduced\, al
so appearing as extremal in complex dimension two. I will show that these
new metrics\, while not Gauduchon in general\, give again unique represent
atives\, up to constant multiples\, of conformal classes of almost Hermiti
an metrics. This is joint work with D. Angella\, A. Otiman and N. Tardini.
\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Viviana del Barco (Universidade Estadual de Campinas)
DTSTART:20210623T150000Z
DTEND:20210623T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/18
DESCRIPTION:Title: (Purely) coclosed G$_2$-structures on 2-step nilmanifolds\nby Vi
viana del Barco (Universidade Estadual de Campinas) as part of Differentia
l Geometry Seminar Torino\n\n\nAbstract\nIn Riemannian geometry\, simply c
onnected nilpotent Lie groups endowed with left-invariant metrics\, and th
eir compact quotients\, have been the source of valuable examples in the f
ield. This motivated several authors to study\, in particular\, left-invar
iant G$_2$-structures on 7-dimensional nilpotent Lie groups. These structu
res could also be induced to the associated compact quotients\, also known
as nilmanifolds.\n\nLeft-invariant torsion free G$_2$-structures\, that i
s\, defined by a simultaneously closed and coclosed positive $3$-form\, do
not exist on nilpotent Lie groups. But relaxations of this condition have
been the subject of study on nilmanifolds lately. One of them are coclose
d G$_2$-structures\, for which the defining $3$-form verifies $\\mathrm{d}
\\star_{g_\\varphi}\\varphi=0$\, and more specifically\, purely coclosed
structures\, which are defined as those which are coclosed and satisfy $\\
varphi\\wedge \\mathrm{d} \\varphi=0$. \n\nIn this talk\, there will be pr
esented recent classification results regarding left-invariant coclosed an
d purely coclosed G$_2$-structures on 2-step nilpotent Lie groups. \n\nOur
results are twofold. On the one hand we give the isomorphism classes of 2
-step nilpotent Lie algebras admitting purely coclosed G$_2$-structures. T
he analogous result for coclosed structures was obtained by Bagaglini\, Fe
rnández and Fino [Forum Math. 2018]. \n\nOn the other hand\, we focus on
the question of which metrics on these Lie algebras can be induced by a co
closed or purely coclosed structure. We show that any left-invariant metri
c is induced by a coclosed structure\, whereas every Lie algebra admitting
purely coclosed structures admits metrics which are not induced by any su
ch a structure. In the way of proving these results we obtain a method to
construct purely coclosed G$_2$-structures. As a consequence\, we obtain n
ew examples of compact nilmanifolds carrying purely coclosed G$_2$-structu
res. \n\nThis is joint work with Andrei Moroianu and Alberto Raffero.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joseph Cho (TU Wien)
DTSTART:20211012T150000Z
DTEND:20211012T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/19
DESCRIPTION:Title: Monodromy of discrete Darboux transformations\nby Joseph Cho (TU
Wien) as part of Differential Geometry Seminar Torino\n\n\nAbstract\nThe
monodromy of Darboux transformations of smooth isothermic surfaces can be
simplified via the gauge theoretic approach. In pursuit of the discrete an
alogue\, we consider the discrete curve case. In particular\, using a quat
ernionic approach\, we not only solve the monodromy of discrete Darboux tr
ansformations\, but also obtain explicit parametrisations for closed discr
ete Darboux transformations of a discrete circle.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Romina Arroyo (Universidad Nacional de Córdoba)
DTSTART:20211102T160000Z
DTEND:20211102T170000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/20
DESCRIPTION:Title: On the signature of the Ricci curvature on nilmanifolds\nby Romi
na Arroyo (Universidad Nacional de Córdoba) as part of Differential Geome
try Seminar Torino\n\n\nAbstract\nIn this talk I will present a joint work
with Ramiro Lafuente (The University of Queensland) in which we completel
y describe all possible signatures for the Ricci curvature of left-invaria
nt metrics on nilmanifolds. To do that\, we use ideas from GIT to construc
t a metric whose Ricci curvature has a signature with as many zeros as pos
sible\, and then we apply an Implicit Function Theorem argument.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Katrin Leschke (University of Leicester)
DTSTART:20211109T150000Z
DTEND:20211109T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/21
DESCRIPTION:Title: Links between the integrable systems of a CMC surface\nby Katrin
Leschke (University of Leicester) as part of Differential Geometry Semina
r Torino\n\n\nAbstract\nA CMC surface in 3-space is constrained Willmore a
nd isothermic. It is well known that these 3 surface classes are each dete
rmined by a family of flat connections. In this talk we discuss links betw
een the corresponding families of flat connections: we show that parallel
sections of the associated family of flat connections of the harmonic Gaus
s map give algebraically the parallel sections of the other families. In p
articular\, we obtain links between transformations of CMC surfaces\, isot
hermic surfaces and constrained Willmore surfaces which are given by paral
lel sections\, such as the associated family\, the simple factor dressing
and the Darboux transformation.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcin Sroka (Jagiellonian University)
DTSTART:20211130T150000Z
DTEND:20211130T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/22
DESCRIPTION:Title: The conjecture of Alesker and Verbitsky under hyperKähler assumptio
n.\nby Marcin Sroka (Jagiellonian University) as part of Differential
Geometry Seminar Torino\n\n\nAbstract\nI will discuss the advances towards
proving the so called\nquaternionic Calabi conjecture. I will focus on th
e recent result in this\ndirection due to Dinew and myself. I will include
the discussion on the\nMonge-Ampère type equations in quaternionic geome
try from the unifying\nperspective (in the spirit of Harvey-Lawson).\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Mramor (John Hopkins University)
DTSTART:20211207T150000Z
DTEND:20211207T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/23
DESCRIPTION:Title: Some new applications of the mean curvature flow to self shrinkers\nby Alex Mramor (John Hopkins University) as part of Differential Geome
try Seminar Torino\n\n\nAbstract\nThe mean curvature flow\, where one defo
rms a submanifold by its mean curvature vector\, is known to in many cases
develop singularities. These are points where the curvature along the flo
w blows up\, or in some sense where the submanifold pinches. This makes th
e study of singularities vital to fully utilize the flow. Arguably the mos
t basic local models for singularities are self shrinkers\, called such be
cause they evolve by dilations. In this talk I’ll discuss some applicati
ons of the mean curvature flow to the study of self shrinkers in $\\mathbb
{R}^{3}$ and $\\mathbb{R}^{4}$.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Mira (Universidad Politécnica de Cartagena)
DTSTART:20220111T150000Z
DTEND:20220111T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/24
DESCRIPTION:Title: The Bernstein problem for Weingarten surfaces\nby Pablo Mira (Un
iversidad Politécnica de Cartagena) as part of Differential Geometry Semi
nar Torino\n\n\nAbstract\nA surface in Euclidean $3$-space is an elliptic
Weingarten surface if its principal curvatures are related by a smooth\, s
ymmetric\, elliptic equation $W(k_1\,k_2)=0$. A well known open problem\,
proposed for instance by Rosenberg and Sa Earp in 1994\, is to solve the B
ernstein problem for this class of surfaces\, that is: are planes the only
entire elliptic Weingarten graphs? Up to now\, it is only known that the
answer is positive if the Weingarten equation is uniformly elliptic\, i.e.
\, if the derivatives of $W$ with respect to $k_1$ and $k_2$ lie between t
wo positive constants (for example\, minimal or CMC surfaces are uniformly
elliptic with this terminology). This result follows from a deep theorem
by L. Simon on entire graphs with quasiconformal Gauss map. In this talk
we present two theorems. In the first one\, we extend the solution to the
Bernstein problem in the uniformly elliptic case to multigraphs\, proving
that planes are the only complete uniformly elliptic Weingarten surfaces w
hose Gauss map image lies in an open hemisphere. In the second one\, we wi
ll solve in the affirmative the Bernstein problem for Weingarten graphs fo
r a large class of non-uniformly elliptic Weingarten equations. This is a
joint work with Isabel Fernández and José A. Gálvez.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mario Schulz (Westfälische Wilhelms-Universität Münster)
DTSTART:20220125T140000Z
DTEND:20220125T150000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/25
DESCRIPTION:Title: Noncompact self-shrinkers for mean curvature flow\nby Mario Schu
lz (Westfälische Wilhelms-Universität Münster) as part of Differential
Geometry Seminar Torino\n\n\nAbstract\nIn his lecture notes on mean curvat
ure flow\, Ilmanen conjectured the existence of noncompact self-shrinkers
with arbitrary genus. We employ min-max techniques to give a rigorous exis
tence proof for these surfaces. Conjecturally\, the self-shrinkers that we
obtain have precisely one (asymptotically conical) end. We confirm this f
or large genus via a precise analysis of the limiting object of sequences
of such self-shrinkers for which the genus tends to infinity.\n\nJoint wor
k with Reto Buzano and Huy The Nguyen.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miguel Domínguez-Vázquez (University of Santiago de Compostela)
DTSTART:20220208T150000Z
DTEND:20220208T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/26
DESCRIPTION:Title: Inhomogeneous isoparametric hypersurfaces in symmetric spaces of non
compact type\nby Miguel Domínguez-Vázquez (University of Santiago de
Compostela) as part of Differential Geometry Seminar Torino\n\n\nAbstract
\nA hypersurface of a Riemannian manifold is called isoparametric if its n
earby parallel hypersurfaces have constant mean curvature. Homogeneous hyp
ersurfaces\, that is\, codimension one orbits of isometric actions\, cons
titute a fundamental class of examples. The problem of determining which s
paces with a large isometry group admit inhomogeneous isoparametric hypers
urfaces has a long history that traces back to Élie Cartan.\n\nIn this ta
lk\, I will report on a joint work with Víctor Sanmartín-López where we
construct the first examples of inhomogeneous isoparametric hypersurfaces
in every symmetric space of noncompact type and rank at least three.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xi Sisi Shen (Columbia University)
DTSTART:20220222T150000Z
DTEND:20220222T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/27
DESCRIPTION:Title: Metrics of constant Chern scalar curvature and a Chern-Calabi flow\nby Xi Sisi Shen (Columbia University) as part of Differential Geometry
Seminar Torino\n\n\nAbstract\nWe discuss the existence problem of constan
t Chern scalar curvature metrics on a compact complex manifold. We prove a
priori estimates for these metrics conditional on an upper bound on the e
ntropy\, extending a recent result by Chen-Cheng in the Kähler setting. I
n addition\, we show how these estimates can be used to prove a convergenc
e result for a Hermitian analogue of the Calabi flow on compact complex ma
nifolds with vanishing first Bott-Chern class.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mattia Fogagnolo (Centro De Giorgi - SNS)
DTSTART:20220322T150000Z
DTEND:20220322T160000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/28
DESCRIPTION:Title: New integral estimates in substatic manifolds and the Alexandrov The
orem\nby Mattia Fogagnolo (Centro De Giorgi - SNS) as part of Differen
tial Geometry Seminar Torino\n\n\nAbstract\nThe classical Alexandrov Theor
em in the Euclidean space asserts that any bounded set with a smooth bound
ary of constant mean curvature is a ball.\nThis result can be more quantit
atively expressed by showing that an integral deficit from being of const
ant mean curvature dominates suitable analytic quantities that vanish exac
tly when the domain is a ball. In this talk\, we provide generalizations o
f this in the context of substatic manifolds with boundary\, that constitu
te a vast generalization of the family of manifolds with nonnegative Ricci
curvature\, and that are of particular importance in General Relativity.
Our approach is based on the discovery of a vector field with nonnegative
divergence involving the solution to a torsion-like boundary value problem
introduced by Li-Xia in a related earlier work.\nThe talk is based on a j
oint work with A. Pinamonti (Trento).\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theodora Bourni (University of Tennessee Knoxville)
DTSTART:20220405T140000Z
DTEND:20220405T150000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/30
DESCRIPTION:Title: Convex ancient solutions to free boundary curve shortening flow\
nby Theodora Bourni (University of Tennessee Knoxville) as part of Differe
ntial Geometry Seminar Torino\n\n\nAbstract\nIn this talk we construct and
classify convex ancient curve shortening flows in the disc with free boun
dary on the circle. This work is joint with Mat Langford.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Stanfield (University of Queensland)
DTSTART:20220419T080000Z
DTEND:20220419T090000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/32
DESCRIPTION:Title: Compact Gauduchon-Flat Hermitian manifolds\nby James Stanfield (
University of Queensland) as part of Differential Geometry Seminar Torino\
n\n\nAbstract\nOn a non-Kähler Hermitian manifold\, the complex structure
is not parallel with respect to the Levi-Civita connection. Instead\, it
is natural to consider non-symmetric connections compatible with both metr
ic and complex structures. In the 90's\, Gauduchon identified a canonical
one-parameter family of such Hermitian connections which includes the Cher
n and Bismut connections. In this talk we will discuss some recent progres
s in understanding the geometry of these so-called Gauduchon connections\,
detailing a proof of a conjecture of Yang and Zheng. Namely that other th
an the Chern or Bismut cases\, compact Hermitian manifolds with flat Gaudu
chon connections are Kähler.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Bolsinov (Loughborough University)
DTSTART:20220531T140000Z
DTEND:20220531T150000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/33
DESCRIPTION:Title: On integrability of geodesic flows on 3-dimensional manifolds\nb
y Alexey Bolsinov (Loughborough University) as part of Differential Geomet
ry Seminar Torino\n\n\nAbstract\nThe goal of the talk is to discuss the be
haviour of geodesics on 3-manifolds $M$ with $SL(2\,\\mathbb R)$ geometry\
, one of the eight natural geometries according to Thurston\, appearing o
n three-dimensional manifolds. It has been known that the corresponding
geodesic flows cannot be integrable\, however\, this particular case has n
ot been studied in detail. The situation turned out quite interesting:
we have observed (joint work with Alexander Veselov and Yiru Ye) that the
phase space $T^*M$ contains to two open domains\, complementary to each o
ther and having common boundary\, with integrable and chaotic behaviour o
f geodesics. In the integrable domain\, we have integrability in the clas
s of real-analytic integrals\, whereas in the chaotic domain the geodesic
flow has positive topological entropy. As a specific example\, we study
in more detail the geodesic flow on the modular 3-manifold $M=SL(2\,\\R)/
SL(2\,\\mathbb Z)$ homeomorphic to the complement of a trefoil knot $\\ma
thcal K$ in 3-sphere.\n\nI will try to talk about these results in the con
text of a more general problem on topological obstructions to integrabilit
y of geodesic flows on smooth manifolds following papers by V. V. Kozlov\,
I. A. Taimanov and L. Butler.\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Pozzetta (Università di Napoli)
DTSTART:20220503T140000Z
DTEND:20220503T150000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/34
DESCRIPTION:by Marco Pozzetta (Università di Napoli) as part of Different
ial Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Ivey
DTSTART:20221012T120000Z
DTEND:20221012T130000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/35
DESCRIPTION:Title: Constructing Solitons for an Isometric Flow on G_2 Structures\n
by Thomas Ivey as part of Differential Geometry Seminar Torino\n\nAbstract
: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fernanda Roing
DTSTART:20221018T140000Z
DTEND:20221018T150000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/36
DESCRIPTION:Title: Mean curvature flow of graphs in generalized Robertson–Walker spac
etimes with perpendicular Neumann boundary condition\nby Fernanda Roin
g as part of Differential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Slesar (University Politehnica of Bucarest)
DTSTART:20221122T133000Z
DTEND:20221122T143000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/37
DESCRIPTION:Title: Vaisman manifolds\, transverse Kähler-Ricci flow and Einstein-Weyl
structures\nby Vladimir Slesar (University Politehnica of Bucarest) as
part of Differential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giuseppe Pipoli (Università degli Studi dell'Aquila)
DTSTART:20221213T133000Z
DTEND:20221213T143000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/38
DESCRIPTION:by Giuseppe Pipoli (Università degli Studi dell'Aquila) as pa
rt of Differential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fridrich Valach
DTSTART:20230207T133000Z
DTEND:20230207T143000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/39
DESCRIPTION:Title: Courant algebroids and supergravity\nby Fridrich Valach as part
of Differential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alvaro Pampano
DTSTART:20230210T133000Z
DTEND:20230210T143000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/40
DESCRIPTION:Title: Existence and Properties of Closed Free p-Elastic Curves\nby Alv
aro Pampano as part of Differential Geometry Seminar Torino\n\nAbstract: T
BA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semyon Alesker
DTSTART:20230314T133000Z
DTEND:20230314T143000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/41
DESCRIPTION:Title: Octonionic Calabi-Yau theorem\nby Semyon Alesker as part of Diff
erential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Allan Freitas (Universidade Federal de Paraíba)
DTSTART:20230328T123000Z
DTEND:20230328T133000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/42
DESCRIPTION:Title: Integral identities and rigidity problems for Riemannian manifolds\nby Allan Freitas (Universidade Federal de Paraíba) as part of Differe
ntial Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alejandro Gil-Garcia (Universität Hamburg)
DTSTART:20230517T090000Z
DTEND:20230517T100000Z
DTSTAMP:20260404T111007Z
UID:DGSTO/43
DESCRIPTION:by Alejandro Gil-Garcia (Universität Hamburg) as part of Diff
erential Geometry Seminar Torino\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/DGSTO/43/
END:VEVENT
END:VCALENDAR