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BEGIN:VEVENT
SUMMARY:Anusha Krishnan (Syracuse University)
DTSTART;VALUE=DATE-TIME:20200430T190000Z
DTEND;VALUE=DATE-TIME:20200430T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/1
DESCRIPTION:Title: Diagonalizing the Ricci tensor\nby Anusha Krishnan (Syr
acuse University) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract
\nWe will discuss some recent work on diagonalizing the Ricci tensor of in
variant metrics on compact Lie groups\, homogeneous spaces and cohomogenei
ty one manifolds\, and connections to the Ricci flow.\n\nZoom Meeting ID:
961-8801-7284. The password to join will be sent to the seminar's mailing
list\; if you are not on the mailing list\, please email NKatz(NoSpamPleas
e)citytech.cuny.edu or R.Bettiol(NoSpamPlease)lehman.cuny.edu to receive t
he password directly.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timothy Buttsworth (Cornell University)
DTSTART;VALUE=DATE-TIME:20200507T200000Z
DTEND;VALUE=DATE-TIME:20200507T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/2
DESCRIPTION:Title: The prescribed Ricci curvature problem on manifolds with la
rge symmetry groups\nby Timothy Buttsworth (Cornell University) as par
t of CUNY Geometric Analysis Seminar\n\n\nAbstract\nThe prescribed Ricci c
urvature problem continues to be of fundamental interest in Riemannian geo
metry. In this talk\, I will describe some classical results on this topic
\, as well as some more recent results that have been achieved with homoge
neous and cohomogeneity-one assumptions.\n\nZoom Meeting ID: TBA (will be
posted here and in the seminar's website). The password to join will be se
nt to the seminar's mailing list\; if you are not on the mailing list\, pl
ease email NKatz(NoSpamPlease)citytech.cuny.edu or R.Bettiol(NoSpamPlease)
lehman.cuny.edu to receive the password directly.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ronan Conlon (Florida International University)
DTSTART;VALUE=DATE-TIME:20200514T200000Z
DTEND;VALUE=DATE-TIME:20200514T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/3
DESCRIPTION:Title: Classification results for expanding and shrinking gradient
Kahler-Ricci solitons\nby Ronan Conlon (Florida International Univers
ity) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract\nA complete
Kahler metric g on a Kahler manifold $M$ is a "gradient Kahler-Ricci solit
on" if there exists a smooth real-valued function $f\\colon M\\to R$ with
$\\nabla f$ holomorphic such that $Ric(g)-Hess(f)+\\lambda g=0$ for $\\la
mbda$ a real number. I will present some classification results for such m
anifolds. This is joint work with Alix Deruelle (Université Paris-Sud) an
d Song Sun (UC Berkeley).\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduardo Longa (University of Sao Paulo (Brazil))
DTSTART;VALUE=DATE-TIME:20200528T190000Z
DTEND;VALUE=DATE-TIME:20200528T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/4
DESCRIPTION:Title: Sharp systolic inequalities for 3-manifolds with boundary\nby Eduardo Longa (University of Sao Paulo (Brazil)) as part of CUNY Ge
ometric Analysis Seminar\n\n\nAbstract\nSystolic Geometry dates back to th
e late 1940s\, with the work of Loewner and his doctoral student Pu. This
branch of differential geometry received more attention after the seminal
work of Gromov\, where he proved his famous systolic inequality and introd
uced many important concepts. In this talk I will recall the notion of sys
tole and present some sharp systolic inequalities for free boundary surfac
es in 3-manifolds.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Klaus Kröncke (Universität Hamburg)
DTSTART;VALUE=DATE-TIME:20200604T180000Z
DTEND;VALUE=DATE-TIME:20200604T190000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/5
DESCRIPTION:Title: L^p-stability and positive scalar curvature rigidity of Ric
ci-flat ALE manifolds\nby Klaus Kröncke (Universität Hamburg) as par
t of CUNY Geometric Analysis Seminar\n\n\nAbstract\nWe will establish long
-time and derivative estimates for the heat semigroup of various natural S
chrödinger operators on asymptotically locally Euclidean (ALE) manifolds.
These include the Lichnerowicz Laplacian of a Ricci-flat ALE manifold\, p
rovided that it is spin and admits a parallel spinor. The estimates will b
e used to prove its L^p-stability under the Ricci flow for pThe isometry group of spherical quotients\nby Ricardo A
. E. Mendes (University of Oklahoma) as part of CUNY Geometric Analysis Se
minar\n\n\nAbstract\nA special class of Alexandrov metric spaces are the q
uotients $X=S^n/G$ of the round spheres by isometric actions of compact su
bgroups $G$ of $O(n+1)$. We will consider the question of how to compute t
he isometry group of such $X$\, the main result being that every element i
n the identity component of $Isom(X)$ lifts to a $G$-equivariant isometry
of the sphere. The proof relies on a pair of important results about the "
smooth structure" of $X$.\n\nPlease contact organizers for Zoom meeting de
tails.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shih-Kai Chiu (University of Notre Dame)
DTSTART;VALUE=DATE-TIME:20200618T190000Z
DTEND;VALUE=DATE-TIME:20200618T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/7
DESCRIPTION:Title: A Liouville type theorem for harmonic 1-forms\nby Shih-
Kai Chiu (University of Notre Dame) as part of CUNY Geometric Analysis Sem
inar\n\n\nAbstract\nThe famous Cheng-Yau gradient estimate implies that on
a\ncomplete Riemannian manifold with nonnegative Ricci curvature\, any\nh
armonic function that grows sublinearly must be a constant. This is\nthe s
ame as saying the function is closed as a 0-form. We prove an\nanalogous r
esult for harmonic 1-forms. Namely\, on a complete\nRicci-flat manifold wi
th Euclidean volume growth\, any harmonic 1-form\nwith polynomial sublinea
r growth must be the differential of a\nharmonic function. We prove this b
y proving an $L^2$ version of the\n"gradient estimate" for harmonic 1-form
s. As a corollary\, we show that\nwhen the manifold is Ricci-flat Kähler
with Euclidean volume growth\,\nthen any subquadratic harmonic function mu
st be pluriharmonic. This\ngeneralizes the result of Conlon-Hein.\n\nConta
ct organizers for Zoom meeting details.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clara Aldana (Universidad del Norte (Colombia))
DTSTART;VALUE=DATE-TIME:20200625T190000Z
DTEND;VALUE=DATE-TIME:20200625T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/8
DESCRIPTION:Title: Strong $A_\\infty$ weights and compactness of conformal met
rics\nby Clara Aldana (Universidad del Norte (Colombia)) as part of CU
NY Geometric Analysis Seminar\n\n\nAbstract\nIn the talk I will introduce
$A_\\infty$-weights and strong $A_\\infty$-weights and present some of the
ir properties. I will show how\, using these weights\, we can prove compac
tness of conformal metrics with critical integrability conditions on the s
calar curvature. This relates to two problems in differential geometry: Pi
nching of the curvature and finding geometrical conditions under which a s
equence of conformal metrics admits a convergent subsequence. The results
presented here are joint work with Gilles Carron (University of Nantes) an
d Samuel Tapie (University of Nantes).\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raquel Perales (UNAM (Mexico))
DTSTART;VALUE=DATE-TIME:20200702T190000Z
DTEND;VALUE=DATE-TIME:20200702T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/9
DESCRIPTION:Title: Convergence of manifolds under volume convergence and a ten
sor bound\nby Raquel Perales (UNAM (Mexico)) as part of CUNY Geometric
Analysis Seminar\n\n\nAbstract\nGiven a Riemannian manifold $M$ and a pai
r of Riemannian tensors $g_0 \\leq g_j$ on $M$ we have $vol_0(M) \\leq v
ol_j(M)$ and the volumes are equal if and only if $g_0=g_j$. In this talk
I will show that if we have a sequence of Riemmanian tensors $g_j$ such t
hat $g_0\\leq g_j$ and $vol_j(M)\\to vol_0(M)$ then $(M\,g_j)$ converge to
$(M\,g_0)$ in the volume preserving intrinsic flat sense. I will present
examples demonstrating that under these conditions we do not necessarily
obtain smooth\, $C^0$ or Gromov-Hausdorff convergence.\nFurthermore\, this
result can be applied to show stability of graphical tori. \n[Based on j
oin work with Allen-Sormani and Cabrera Pacheco-Ketterer]\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilaria Mondello (Université de Paris Est Créteil (France))
DTSTART;VALUE=DATE-TIME:20200709T180000Z
DTEND;VALUE=DATE-TIME:20200709T190000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/10
DESCRIPTION:Title: Non-existence of Yamabe metrics in a singular setting\
nby Ilaria Mondello (Université de Paris Est Créteil (France)) as part o
f CUNY Geometric Analysis Seminar\n\n\nAbstract\nThe existence of Yamabe m
etrics\, that is\, metrics which minimize the Einstein-Hilbert functional
in a conformal class\, has been proven for compact smooth manifolds thanks
to the celebrated work of Yamabe\, Trudinger\, Aubin and Schoen. When con
sidering manifolds with singularities\, the situation is quite different:
while an existence result due to Akutagawa\, Mazzeo and Carron is availabl
e\, Viaclovsky had constructed in 2010 an example of 4-manifold\, with one
orbifold isolated singularity\, for which a Yamabe metric does not exists
. After briefly presenting the singularities we deal with\, we will discus
s a new non-existence result for a class of examples with non isolated sin
gularities\, not necessarily orbifold. This is based on a joint work with
Kazuo Akutagawa.\n\nPlease note the earlier time than usual. Zoom meeting
details are sent to our mailing list.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyun Chul Jang (University of Connecticut)
DTSTART;VALUE=DATE-TIME:20200716T190000Z
DTEND;VALUE=DATE-TIME:20200716T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/11
DESCRIPTION:Title: Mass rigidity of asymptotically hyperbolic manifolds\n
by Hyun Chul Jang (University of Connecticut) as part of CUNY Geometric An
alysis Seminar\n\n\nAbstract\nIn this talk\, we present the rigidity of po
sitive mass theorem for asymptotically hyperbolic (AH) manifolds. That is\
, if the total mass of a given AH manifold is zero\, then the manifold is
isometric to hyperbolic space. The proof of the rigidity used a variationa
l approach with the scalar curvature constraint. It also involves an inves
tigation of a type of Hessian equation\, which leads to recent splitting r
esults with G. J. Galloway. We will briefly discuss them as well. This tal
k is based on the joint works with L.-H. Huang and D. Martin\, and with G.
J. Galloway.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Lee (CUNY Queens College and Graduate Center)
DTSTART;VALUE=DATE-TIME:20200723T190000Z
DTEND;VALUE=DATE-TIME:20200723T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/12
DESCRIPTION:Title: Bartnik minimizing initial data sets\nby Dan Lee (CUNY
Queens College and Graduate Center) as part of CUNY Geometric Analysis Se
minar\n\n\nAbstract\nWe will review what is known about Bartnik minimizing
initial data sets in the time-symmetric case\, and then discuss new resul
ts on the general case obtained in joint work with Lan-Hsuan Huang of the
University of Connecticut. Bartnik conjectured that these minimizers must
be vacuum and admit a global Killing vector. We make partial progress towa
rd the conjecture by proving that Bartnik minimizers must arise from so-ca
lled “null dust spacetimes” that admit a global Killing vector field.
In high dimensions\, we find examples that contradict Bartnik’s conjectu
re\, as well as the “strict” positive mass theorem\, though these exam
ples have "sub-optimal” asymptotic decay rates.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Kerin (NUI Galway (Ireland))
DTSTART;VALUE=DATE-TIME:20200730T180000Z
DTEND;VALUE=DATE-TIME:20200730T190000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/13
DESCRIPTION:Title: A pot-pourri of non-negatively curved 7-manifolds\nby
Martin Kerin (NUI Galway (Ireland)) as part of CUNY Geometric Analysis Sem
inar\n\n\nAbstract\nManifolds with non-negative sectional curvature are ra
re and difficult to find\, with interesting topological phenomena traditio
nally being restricted by a dearth of methods of construction. In this ta
lk\, I will describe a large family of seven-dimensional manifolds with no
n-negative curvature\, leading to examples of exotic diffeomorphism types\
, non-standard homotopy types\, and fake versions of familiar non-simply c
onnected friends. This is based on joint work with Sebastian Goette and Kr
ishnan Shankar.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shubham Dwivedi (University of Waterloo (Canada))
DTSTART;VALUE=DATE-TIME:20200806T190000Z
DTEND;VALUE=DATE-TIME:20200806T200000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/14
DESCRIPTION:Title: Deformation theory of nearly $G_2$ manifolds\nby Shubh
am Dwivedi (University of Waterloo (Canada)) as part of CUNY Geometric Ana
lysis Seminar\n\n\nAbstract\nWe will discuss the deformation theory of nea
rly $G_2$ manifolds. After defining nearly $G_2$ manifolds\, we will descr
ibe some identities for 2 and 3-forms on such manifolds. We will introduce
a Dirac type operator which will be used to completely describe the cohom
ology of nearly $G_2$ manifolds. Along the way\, we will give a different
proof of a result of Alexandrov—Semmelman on the space of infinitesimal
deformation of nearly $G_2$ structures. Finally\, we will prove that the i
nfinitesimal deformations of the homogeneous nearly $G_2$ structure on the
Aloff--Wallach space are obstructed to second order. The talk is based on
a joint work with Ragini Singhal (University of Waterloo).\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Lange (Universitaet zu Koeln)
DTSTART;VALUE=DATE-TIME:20200903T180000Z
DTEND;VALUE=DATE-TIME:20200903T190000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/15
DESCRIPTION:Title: Zoll flows on surfaces\nby Christian Lange (Universita
et zu Koeln) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract\nA R
iemannian metric is called Zoll if all its geodesics are closed with the s
ame period.\nWe discuss rigidity and flexibility phenomena of such Riemann
ian and more general Zoll systems. In particular\, we show that if a magne
tic flow on a torus is Zoll at arbitrarily high energies\, then the torus
is flat. The latter is joint work with Luca Asselle.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mariana Smit Vega Garcia (Western Washington University)
DTSTART;VALUE=DATE-TIME:20200917T200000Z
DTEND;VALUE=DATE-TIME:20200917T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/16
DESCRIPTION:Title: Almost minimizers for obstacle problems\nby Mariana Sm
it Vega Garcia (Western Washington University) as part of CUNY Geometric A
nalysis Seminar\n\n\nAbstract\nIn the applied sciences one is often confro
nted with free boundaries\, which arise when the solution to a problem con
sists of a pair: a function u (often satisfying a partial differential equ
ation)\, and a set where this function has a specific behavior. Two centra
l issues in the study of free boundary problems and related problems in th
e calculus of variations and geometric measure theory are:\n\n(1) What is
the optimal regularity of the solution u?\n\n(2) How smooth is the free bo
undary (or how smooth is a certain set related to u)?\n\nThe study of the
classical obstacle problem\, one of the most renowned free boundary proble
ms\, began in the ’60s with the pioneering works of G. Stampacchia\, H.
Lewy\, and J. L. Lions. During the past five decades\, it has led to beaut
iful and deep developments in the calculus of variations and geometric par
tial differential equations\, and its study still presents very interestin
g and challenging questions.\nIn contrast to the classical obstacle proble
m\, which arises from a minimization problem\, minimizing problems with no
ise lead to the notion of almost minimizes. Though deeply connected to "st
andard" free boundary problems\, almost minimizers do not satisfy a PDE as
minimizers do\, requiring additional tools from geometric measure theory
to address (1) and (2). \nIn this talk\, I will overview recent developmen
ts on obstacle type problems and almost minimizers for the thin obstacle p
roblem\, illustrating techniques that can be used to tackle questions (1)
and (2) in various settings.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ian Adelstein (Yale University)
DTSTART;VALUE=DATE-TIME:20200924T200000Z
DTEND;VALUE=DATE-TIME:20200924T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/17
DESCRIPTION:Title: The length of the shortest closed geodesic on positively c
urved 2-spheres\nby Ian Adelstein (Yale University) as part of CUNY Ge
ometric Analysis Seminar\n\n\nAbstract\nWe start with an intuitive introdu
ction to the isosystolic inequalities. We then show that the shortest clos
ed geodesic on a 2-sphere with non-negative curvature has length bounded a
bove by three times the diameter. We prove a new isoperimetric inequality
for 2-spheres with pinched curvature\; this allows us to improve our bound
on the length of the shortest closed geodesic in the pinched curvature se
tting. This is joint work with Franco Vargas Pallete.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yueh-Ju Lin (Wichita State University)
DTSTART;VALUE=DATE-TIME:20201015T200000Z
DTEND;VALUE=DATE-TIME:20201015T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/18
DESCRIPTION:Title: Volume comparison of Q-curvature\nby Yueh-Ju Lin (Wich
ita State University) as part of CUNY Geometric Analysis Seminar\n\n\nAbst
ract\nClassical volume comparison for Ricci curvature is a fundamental res
ult in Riemannian geometry. In general\, scalar curvature as the trace of
Ricci curvature\, is too weak to control the volume. However\, with the ad
ditional stability assumption on the closed Einstein manifold\, one can ob
tain a volume comparison for scalar curvature. In this talk\, we investiga
te a similar phenomenon for $Q$-curvature\, a fourth-order analogue of sca
lar curvature. In particular\, we prove a volume comparison result of $Q$-
curvature for metrics near stable Einstein metrics by variational techniqu
es and a Morse lemma for infinite dimensional manifolds. This is a joint w
ork with Wei Yuan.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Curtis Pro (California State University (Stanislaus))
DTSTART;VALUE=DATE-TIME:20201022T200000Z
DTEND;VALUE=DATE-TIME:20201022T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/19
DESCRIPTION:Title: Extending a diffeomorphism finiteness theorem to dimension
4.\nby Curtis Pro (California State University (Stanislaus)) as part
of CUNY Geometric Analysis Seminar\n\n\nAbstract\nCheeger's Finiteness The
orem says: Given numbers $k<$ $K$ in $\\mathbb{R}$ and $v\, D>0$\, there a
re at most finitely many differentiable structures on the class of $n$-man
ifolds $M$ that support metrics with $k\\leq\\sec M\\leq K\, \\mathrm{vol}
\\\,M\\geq v\,$ and $\\mathrm{diam}\\\,M\\leq D.$ In the early 90s\, Grov
e\, Petersen\, Wu\, and (independently) Perelman showed in all dimensions\
, except possibly $n=4$\, this conclusion still holds for the larger class
that has no upper bound on sectional curvature. In this talk\, I'll prese
nt recent work with Fred Wilhelm that shows this conclusion is also true i
n dimension 4.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Zhu (Princeton University)
DTSTART;VALUE=DATE-TIME:20201112T210000Z
DTEND;VALUE=DATE-TIME:20201112T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/20
DESCRIPTION:Title: Explicit Łojasiewicz inequalities for mean curvature flow
shrinkers\nby Jonathan Zhu (Princeton University) as part of CUNY Geo
metric Analysis Seminar\n\n\nAbstract\nŁojasiewicz inequalities are a pop
ular tool for studying the stability of geometric structures. For mean cur
vature flow\, Schulze used Simon’s reduction to the classical Łojasiewi
cz inequality to study compact tangent flows. Colding and Minicozzi instea
d used a direct method to prove Łojasiewicz inequalities for round cylind
ers. We’ll discuss similarly explicit Łojasiewicz inequalities and appl
ications for other shrinking cylinders and Clifford shrinkers.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gonçalo Oliveira (Universidade Federal Fluminense (Brazil))
DTSTART;VALUE=DATE-TIME:20201001T200000Z
DTEND;VALUE=DATE-TIME:20201001T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/21
DESCRIPTION:Title: $G_2$-monopoles (a summary)\nby Gonçalo Oliveira (Uni
versidade Federal Fluminense (Brazil)) as part of CUNY Geometric Analysis
Seminar\n\n\nAbstract\nThis talk is aimed at reviewing what is known about
$G_2$-monopoles and motivate their study. After this\, I will mention som
e recent results obtained in collaboration with Ákos Nagy and Daniel Fade
l which investigate the asymptotic behaviour of $G_2$-monopoles. Time perm
itting\, I will mention a few possible future directions regarding the use
of monopoles in $G_2$-geometry.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Lin (Dartmouth College)
DTSTART;VALUE=DATE-TIME:20201008T200000Z
DTEND;VALUE=DATE-TIME:20201008T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/22
DESCRIPTION:Title: Three-dimensional Geometric Structures and the Laplace Spe
ctrum\nby Samuel Lin (Dartmouth College) as part of CUNY Geometric Ana
lysis Seminar\n\n\nAbstract\nThe earliest examples of non-isometric Laplac
e-isospectral manifolds have the same local geometries. In fact\, the firs
t example of 16-tori given by Milnor and other isospectral pairs arising f
rom the classical group theoretic method of Sunada have the same local geo
metries. However\, examples from Gordon\, Schueth\, Sutton\, and An-Yu-Yu
demonstrate that in dimension four and higher\, the local geometry is not
a spectral invariant\, even among locally homogeneous spaces. Thus\, it is
natural to ask whether the local geometry is a spectral invariant in dime
nsion two and three.\n \nI will present our result in this direction\, whi
ch provides strong evidence that the local geometry of a three-dimensional
locally homogeneous space is a spectral invariant. Motivated by this prob
lem in spectral geometry\, I will also present a metric classification of
all locally homogeneous three-manifolds covered by topological spheres. Th
is talk is based on a joint work with Ben Schmidt and Craig Sutton.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ernani Ribeiro Jr. (Universidade Federal do Ceara (Brazil))
DTSTART;VALUE=DATE-TIME:20201029T200000Z
DTEND;VALUE=DATE-TIME:20201029T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/23
DESCRIPTION:Title: Four-dimensional gradient shrinking Ricci solitons\nby
Ernani Ribeiro Jr. (Universidade Federal do Ceara (Brazil)) as part of CU
NY Geometric Analysis Seminar\n\n\nAbstract\nIn this talk\, we will discus
s 4-dimensional complete (not necessarily compact) gradient shrinking Ricc
i solitons. We will show that a 4-dimensional complete gradient shrinking
Ricci soliton satisfying a pointwise condition involving either the self-
dual or anti-self-dual part of the Weyl tensor is either Einstein\, or a f
inite quotient of either the Gaussian shrinking soliton $\\Bbb{R}^4\,$ or
$\\Bbb{S}^{3}\\times\\Bbb{R}$\, or $\\Bbb{S}^{2}\\times\\Bbb{R}^{2}.$ In a
ddition\, we will present some curvature estimates for 4-dimensional compl
ete gradient Ricci solitons. Some open problems will be also discussed. Th
is is a joint work with Huai-Dong Cao and Detang Zhou.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jason Ledwidge (University of Muenster)
DTSTART;VALUE=DATE-TIME:20201105T210000Z
DTEND;VALUE=DATE-TIME:20201105T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/24
DESCRIPTION:Title: The sharp Li-Yau equality on shrinking Ricci solitons\
nby Jason Ledwidge (University of Muenster) as part of CUNY Geometric Anal
ysis Seminar\n\n\nAbstract\nIn this talk we will prove a sharp Li-Yau equa
lity on shrinking Ricci solitons and use this equality to prove the existe
nce of a minimiser for Perelman's W functional on shrinking Ricci solitons
. By a result of Haslhofer-Mueller\, the uniqueness of the minimisier of t
he W functional leads to the classification of Type I singularity models t
o the Ricci flow in four dimensions. If time permits\, we will also show h
ow the Li-Yau equality leads to a global Isoperimetric inequality on shrin
kig Ricci solitons. We will be more interested in the importance of the co
njugate heat semigroup and its estimates on shrinking Ricci solitons and h
ence our aim is for the talk not to be too technical.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Neumayer (Northwestern University)
DTSTART;VALUE=DATE-TIME:20201119T210000Z
DTEND;VALUE=DATE-TIME:20201119T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/25
DESCRIPTION:Title: $d_p$ Convergence and $\\epsilon$-regularity theorems for
entropy and scalar curvature lower bounds\nby Robin Neumayer (Northwes
tern University) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract\
nIn this talk\, we consider Riemannian manifolds with almost non-negative
scalar curvature and Perelman entropy. We establish an $\\epsilon$-regular
ity theorem showing that such a space must be close to Euclidean space in
a suitable sense. Interestingly\, such a result is false with respect to t
he Gromov-Hausdorff and Intrinsic Flat distances\, and more generally the
metric space structure is not controlled under entropy and scalar lower bo
unds. Instead\, we introduce the notion of the $d_p$ distance between (in
particular) Riemannian manifolds\, which measures the distance between $W^
{1\,p}$ Sobolev spaces\, and it is with respect to this distance that the
$\\epsilon$ regularity theorem holds. We will discuss various applications
to manifolds with scalar curvature and entropy lower bounds\, including a
compactness and limit structure theorem for sequences\, a uniform $L^\\in
fty$ Sobolev embedding\, and a priori $L^p$ scalar curvature bounds for $p
<1$ This is joint work with Man-Chun Lee and Aaron Naber.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lashi Bandara (Universitaet Potsdam)
DTSTART;VALUE=DATE-TIME:20201204T150000Z
DTEND;VALUE=DATE-TIME:20201204T160000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/26
DESCRIPTION:Title: The world of rough metrics\nby Lashi Bandara (Universi
taet Potsdam) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract\nRo
ugh metrics are measurable coefficient Riemannian structures.\nThey captur
e a very large class of natural geometries\, with the quintessential examp
le being Lipschitz pullbacks of smooth metrics.\nAlthough they have impli
citly appeared for a very long time\, particularly in the context of bound
ed-measurable coefficient divergence form equations\, they have only been
studied explicitly recently.\nThe aim of this talk would be to introduce t
hese metrics\, motivated by an important example - their connection to the
geometric Kato square root problem.\nTheir salient features would be desc
ribed\, along with recent results\, such as the existence of heat kernels
and Weyl asymptotics for associated Laplacians in compact settings.\n\n(Pl
ease note the different time for this talk.)\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Annachiara Piubello (University of Miami)
DTSTART;VALUE=DATE-TIME:20210204T210000Z
DTEND;VALUE=DATE-TIME:20210204T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/27
DESCRIPTION:Title: Mass and Riemannian Polyhedra\nby Annachiara Piubello
(University of Miami) as part of CUNY Geometric Analysis Seminar\n\n\nAbst
ract\nWe show a new formula for the ADM mass as the limit of the total mea
n curvature plus the total defect of dihedral angle of the boundary of lar
ge polyhedra. In the special case of coordinate cubes\, we will show an in
tegral formula relating the n-dimensional mass with a geometrical quantity
that determines the (n-1)-dimensional mass. This is joint work with Pengz
i Miao.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ben Lowe (Princeton University)
DTSTART;VALUE=DATE-TIME:20210211T210000Z
DTEND;VALUE=DATE-TIME:20210211T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/28
DESCRIPTION:Title: Minimal Surfaces in Negatively Curved 3-manifolds\nby
Ben Lowe (Princeton University) as part of CUNY Geometric Analysis Seminar
\n\n\nAbstract\nCalegari-Marques-Neves recently initiated the study of sta
ble properly immersed minimal surfaces in a negatively curved 3-manifold f
rom a dynamical perspective. I will survey their work and talk about some
results that I've obtained in this direction.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Radeschi (University of Notre Dame)
DTSTART;VALUE=DATE-TIME:20210218T210000Z
DTEND;VALUE=DATE-TIME:20210218T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/29
DESCRIPTION:Title: Manifold submetries\, with applications to Invariant Theor
y\nby Marco Radeschi (University of Notre Dame) as part of CUNY Geomet
ric Analysis Seminar\n\n\nAbstract\nGiven an orthogonal representation of
a Lie group G on a Euclidean vector space V\, Invariant Theory studies the
algebra of G-invariant polynomials on V. This setting can be generalized
by replacing the orbits of the representation with a foliation by the fibe
rs of a manifold submetry from the unit sphere S(V)\, and consider the alg
ebra of polynomials that are constant along these fibers (effectively prod
ucing an Invariant Theory\, but without groups).\nIn this talk we will exh
ibit a surprisingly strong relation between the geometric information comi
ng from the submetry and the algebraic information coming from the corresp
onding algebra\, with several applications to classical Invariant Theory.\
nThis talk is based on a joint work with Ricardo Mendes.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weimin Sheng (Zhejiang University)
DTSTART;VALUE=DATE-TIME:20210226T000000Z
DTEND;VALUE=DATE-TIME:20210226T010000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/30
DESCRIPTION:Title: Removable singularity of positive mass theorem with contin
uous metrics\nby Weimin Sheng (Zhejiang University) as part of CUNY Ge
ometric Analysis Seminar\n\n\nAbstract\nIn this talk\, I consider asymptot
ically flat Riemannnian manifolds $(M^n\, g)$ with $C^0$ metric $g$ and $g
$ is smooth away from a closed bounded subset $\\Sigma$ and the scalar cur
vature $R_g\\ge 0$ on $M\\setminus \\Sigma$. For given $n\\le p\\le \\inf
ty$\, if $g\\in C^0\\cap W^{1\,p}$ and the Hausdorff measure $\\mathcal{
H}^{n-\\frac{p}{p-1}}(\\Sigma)<\\infty$ when $n\\le p<\\infty$ or $\\mathc
al{H}^{n-1}(\\Sigma)=0$ when $p=\\infty$\, then I will show that the ADM m
ass of each end is nonnegative. Furthermore\, if the ADM mass of some end
is zero\, then I'll show that $(M^n\, g)$ is isometric to the Euclidean sp
ace by showing the manifold has nonnegative Ricci curvature in RCD sense.
This result extends the result of Dan Lee and P. Lefloch (2015 CMP) from s
pin to non-spin\, also improves the result of Shi-Tam [JDG 2002] and Lee [
PAMS 2013]. Moreover\, for $p=\\infty$\, this confirms a conjecture of Lee
[pAMS 2013].\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vitali Kapovitch (University of Toronto)
DTSTART;VALUE=DATE-TIME:20210304T210000Z
DTEND;VALUE=DATE-TIME:20210304T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/31
DESCRIPTION:Title: Mixed curvature almost flat manifolds\nby Vitali Kapov
itch (University of Toronto) as part of CUNY Geometric Analysis Seminar\n\
n\nAbstract\nA celebrated theorem of Gromov says that given $n>1$ there is
an $\\epsilon(n)>0$ such that if a closed Riemannian manifold $M^n$ satis
fies $-\\epsilon<\\sec_M<\\epsilon\, diam(M)< 1$ then $M$ is diffeomorphic
to an infranilmanifold.\nI will show that the lower sectional curvature b
ound in Gromov’s theorem can be weakened to the lower Bakry-Emery Ricci
curvature bound. I will also discuss the relation of this result to the st
udy of manifolds with Ricci curvature bounded below.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Feng Wang (Zhejiang University)
DTSTART;VALUE=DATE-TIME:20210311T140000Z
DTEND;VALUE=DATE-TIME:20210311T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/32
DESCRIPTION:Title: On the singular Yau-Tian-Donaldson conjecture\nby Feng
Wang (Zhejiang University) as part of CUNY Geometric Analysis Seminar\n\n
\nAbstract\nThe famous Yau-Tian-Donaldson conjecture asserts the equivalen
ce between the stability and existence of canonical metrics. On Fano manif
olds\, the canonical metric is Kahler-Einstein metric. This case is solved
by Tian and Chen-Donaldson-Sun. In this talk\, we will talk about the exi
stence of Kahler-Einstein metrics on a class of singular Fano varieties.
This is a joint work with Chi Li and Professor Gang Tian.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyun Chul Jang (University of Miami)
DTSTART;VALUE=DATE-TIME:20210311T210000Z
DTEND;VALUE=DATE-TIME:20210311T220000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/33
DESCRIPTION:Title: Hyperbolic mass via horospheres\nby Hyun Chul Jang (Un
iversity of Miami) as part of CUNY Geometric Analysis Seminar\n\n\nAbstrac
t\nThe mass of asymptotically hyperbolic manifolds is a geometric invarian
t that measures its deviation from hyperbolic space. In this talk\, we pre
sent a new mass formula using large coordinate horospheres. The formula is
stated as a limit of the weighted total difference of mean curvatures on
large coordinate horospheres. We will remark a few geometric implications
of the formula including scalar curvature rigidity of asymptotically hyper
bolic manifolds. This talk is based on joint work with Pengzi Miao.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chi Li (Rutgers University)
DTSTART;VALUE=DATE-TIME:20210408T200000Z
DTEND;VALUE=DATE-TIME:20210408T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/34
DESCRIPTION:Title: Recent progresses on the Yau-Tian-Donaldson conjecture for
constant scalar curvature Kahler metrics\nby Chi Li (Rutgers Universi
ty) as part of CUNY Geometric Analysis Seminar\n\n\nAbstract\nFor any pola
rized projective manifold $(X\, L)$\, the Yau-Tian-Donaldson conjecture pr
edicts that the existence of constant scalar curvature Kahler metrics in t
he first Chern class of $L$ is equivalent to an algebraic K-stability prop
erty of $(X\, L)$. We will survey some recent progresses towards this conj
ecture and how it leads to an interesting open question in algebraic geome
try.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chao Li (Princeton University)
DTSTART;VALUE=DATE-TIME:20210318T200000Z
DTEND;VALUE=DATE-TIME:20210318T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/35
DESCRIPTION:Title: Scalar curvature and dihedral rigidity of Riemannian polyh
edra\nby Chao Li (Princeton University) as part of CUNY Geometric Anal
ysis Seminar\n\n\nAbstract\nIn 2013\, Gromov proposed a geometric comparis
on theorem for metrics with nonnegative scalar curvature\, formulated in t
erms of the dihedral rigidity phenomenon for Riemannian polyhedrons: if a
Riemannian polyhedron has nonnegative scalar curvature in the interior\, a
nd weakly mean convex faces\, then the dihedral angle between adjacent fac
es cannot be everywhere less than the corresponding Euclidean model. In th
is talk\, I will prove this conjecture for a large collection of polytopes
\, and extend it to metrics with negative scalar curvature lower bounds. T
he strategy is to relate this question with a geometric variational proble
m of capillary type\, and apply the Schoen-Yau minimal slicing technique f
or manifolds with boundary.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davi Maximo (University of Pennsylvania)
DTSTART;VALUE=DATE-TIME:20210325T200000Z
DTEND;VALUE=DATE-TIME:20210325T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/36
DESCRIPTION:Title: The Waist Inequality and Positive Scalar Curvature\nby
Davi Maximo (University of Pennsylvania) as part of CUNY Geometric Analys
is Seminar\n\n\nAbstract\nThe topology of three-manifolds with positive sc
alar curvature has been (mostly) known since the solution of the Poincare
conjecture by Perelman. Indeed\, they consist of connected sums of spheric
al space forms and $S^2 \\times S^1$'s. In spite of this\, their "shape" r
emains unknown and mysterious. Since a lower bound of scalar curvature can
be preserved by a codimension two surgery\, one may wonder about a descri
ption of the shape of such manifolds based on a codimension two data (in t
his case\, 1-dimensional manifolds).\n \nIn this talk\, I will show result
s from a recent collaboration with Y. Liokumovich elucidating this questio
n for closed three-manifolds.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aghil Alaee (Clark University & CMSA Harvard)
DTSTART;VALUE=DATE-TIME:20210415T200000Z
DTEND;VALUE=DATE-TIME:20210415T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/37
DESCRIPTION:Title: Rich extra dimensions are hidden inside black holes\nb
y Aghil Alaee (Clark University & CMSA Harvard) as part of CUNY Geometric
Analysis Seminar\n\n\nAbstract\nIn 1972\, Kip Thorne conjectured a formati
on of a black hole due to an inequality between the mass of a bounded regi
on and its size. In this talk\, I review some recent results regarding thi
s conjecture and its application to the size of the geometry of extra dime
nsions.\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Max Hallgren (Cornell University)
DTSTART;VALUE=DATE-TIME:20210513T200000Z
DTEND;VALUE=DATE-TIME:20210513T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T091058Z
UID:CUNY_GeometricAnalysis/38
DESCRIPTION:by Max Hallgren (Cornell University) as part of CUNY Geometric
Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/CUNY_GeometricAnalysis/38/
END:VEVENT
END:VCALENDAR