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CALSCALE:GREGORIAN
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BEGIN:VEVENT
SUMMARY:Yury Ustinovsky (Lehigh University)
DTSTART:20210916T174000Z
DTEND:20210916T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/1
DESCRIPTION:Title: Geometric Flows on Complex Manifolds and Generalized K
ahler-Ricci Solitons\nby Yury Ustinovsky (Lehigh University) as part o
f Iowa State Geometric Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xuan Hien Nguyen (Iowa State University)
DTSTART:20210930T174000Z
DTEND:20210930T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/2
DESCRIPTION:Title: The fundamental gap of horoconvex domains in hyperboli
c space\nby Xuan Hien Nguyen (Iowa State University) as part of Iowa S
tate Geometric Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xuan Hien Nguyen (Iowa State University)
DTSTART:20211007T174000Z
DTEND:20211007T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/3
DESCRIPTION:Title: The vanishing of the fundamental gap of convex domains
in hyperbolic n-space\nby Xuan Hien Nguyen (Iowa State University) as
part of Iowa State Geometric Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Connor Mooney (University of California-Irvine)
DTSTART:20211014T174000Z
DTEND:20211014T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/4
DESCRIPTION:Title: Solutions to the Monge-Ampere equation with polyhedral
and Y-shaped singularities\nby Connor Mooney (University of Californi
a-Irvine) as part of Iowa State Geometric Analysis Seminar\n\n\nAbstract\n
The Monge-Ampere equation det(D^2u) = 1 arises in prescribed\ncurvature pr
oblems and in optimal transport. An interesting feature of\nthe equation i
s that it admits singular solutions. We will discuss new\nexamples of conv
ex functions on R^n that solve the Monge-Ampere equation\naway from finite
ly many points\, but contain polyhedral and Y-shaped\nsingular structures.
Along the way we will discuss geometric motivations\nfor constructing suc
h examples\, as well as their connection to a certain\nobstacle problem.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jingrui Cheng (Stony Brook University)
DTSTART:20211021T174000Z
DTEND:20211021T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/5
DESCRIPTION:Title: Analytical aspect for the existence of constant scalar
curvature Kahler metric\nby Jingrui Cheng (Stony Brook University) as
part of Iowa State Geometric Analysis Seminar\n\n\nAbstract\nI will expla
in the a priori estimates for the cscK equation on a compact manifold\, an
d how to use these estimates to obtain existence when the associated energ
y functional is "coercive". If time permits\, I will also explain how we c
an hope to get existence from a more "algebraic" condition\, which might b
e easier to check in practice.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fangyang Zheng (Chongqing Normal University)
DTSTART:20211028T174000Z
DTEND:20211028T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/6
DESCRIPTION:Title: The Hermitian geometry of Strominger connections\n
by Fangyang Zheng (Chongqing Normal University) as part of Iowa State Geom
etric Analysis Seminar\n\n\nAbstract\nIn this talk we will discuss the geo
metry of Strominger connection of Hermitian manifolds\, based\non recent j
oint works with Quanting Zhao. We will focus on two special types of Hermi
tian manifolds:\nStrominger Kahler-like (SKL) manifolds\, and Strominger p
arallel torsion (SPT) manifolds. The first class\nmeans Hermitian manifold
s whose Strominger connection (also known as Bismut connection) has curvat
ure\ntensor obeying all Kahler symmetries\, and the second class means Her
mitian manifolds whose Strominger\nconneciton has parallel torsion. We sho
wed that any SKL manifold is SPT\, which is known as (an equivalent\nform
of) the AOUV Conjecture (namely\, SKL implies pluriclosedness). We obtaine
d a characterization\ntheorem for SPT condition in terms of Strominger cur
vature\, which generalizes the previous theorem. We\nwill also discuss exa
mples and some structural results for SKL and SPT manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damin Wu (University of Connecticut)
DTSTART:20211104T174000Z
DTEND:20211104T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/7
DESCRIPTION:Title: Kahler-Einstein metric on negatively pinched complete
Kahler manifolds\nby Damin Wu (University of Connecticut) as part of I
owa State Geometric Analysis Seminar\n\n\nAbstract\nWe will discuss the ex
istence and uniqueness of the complete Kahler-Einstein metric on a complet
e Kahler manifold with holomorphic curvature bounded between two negative
constants. This is based on a joint with Yau.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sigurd Angenent (University of Wisconsin-Madison)
DTSTART:20211111T184000Z
DTEND:20211111T194000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/8
DESCRIPTION:Title: Non-uniqueness in geometric flows\nby Sigurd Angen
ent (University of Wisconsin-Madison) as part of Iowa State Geometric Anal
ysis Seminar\n\n\nAbstract\nFor many geometric flows it is true that smoot
h initial data\nhave smooth solutions on a sufficiently short time interva
l. Such\nsolutions can then develop singularities\, after which a general
ized\nsolution may still exist. I will show examples in Mean Curvature Fl
ow\nand RIcci Flow where solution admits more than one continuation after\
nthe first singularity.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Raúl Stinga (Iowa State University)
DTSTART:20210909T174000Z
DTEND:20210909T184000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/9
DESCRIPTION:Title: Regularity for C1\,alpha interface transmission proble
ms\nby Pablo Raúl Stinga (Iowa State University) as part of Iowa Stat
e Geometric Analysis Seminar\n\n\nAbstract\nWe show existence\, uniqueness
\, and optimal regularity of solutions to transmission problems for harmon
ic functions with C1\,α interfaces. For this\, the main tool we develop i
s a new geometric stability argument based on the mean value property. Thi
s is joint work with Luis A. Caffarelli and María Soria-Carro (UT Austin)
.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jakob Hultgren (University of Maryland)
DTSTART:20220221T211000Z
DTEND:20220221T221000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/10
DESCRIPTION:Title: Singular affine structures\, Monge-Ampère equations
and unit simplices\nby Jakob Hultgren (University of Maryland) as part
of Iowa State Geometric Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clayton Shonkwiler (Colorado State University)
DTSTART:20220228T211000Z
DTEND:20220228T221000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/11
DESCRIPTION:Title: Geometric Approaches to Frame Theory\nby Clayton
Shonkwiler (Colorado State University) as part of Iowa State Geometric Ana
lysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hung Tran (Texas Tech University)
DTSTART:20220307T211000Z
DTEND:20220307T221000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/12
DESCRIPTION:Title: On the Morse Index with Constraints\nby Hung Tran
(Texas Tech University) as part of Iowa State Geometric Analysis Seminar\
n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastien Picard (University of British Columbia)
DTSTART:20220321T201000Z
DTEND:20220321T211000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/13
DESCRIPTION:Title: Topological Transitions of Calabi-Yau Threefolds\
nby Sebastien Picard (University of British Columbia) as part of Iowa Stat
e Geometric Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gunhee Cho
DTSTART:20220328T201000Z
DTEND:20220328T211000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/14
DESCRIPTION:by Gunhee Cho as part of Iowa State Geometric Analysis Seminar
\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhiqin Lu
DTSTART:20220404T201000Z
DTEND:20220404T211000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/15
DESCRIPTION:by Zhiqin Lu as part of Iowa State Geometric Analysis Seminar\
n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reto Busano (University of Torino)
DTSTART:20220919T160000Z
DTEND:20220919T165000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/16
DESCRIPTION:Title: Noncompact self-shrinkers for mean curvature flow wit
h arbitrary genus\nby Reto Busano (University of Torino) as part of Io
wa State Geometric Analysis Seminar\n\n\nAbstract\nIn his lecture notes on
mean curvature flow\, Ilmanen conjectured the existence of noncompact sel
f-shrinkers with arbitrary genus. Here\, we employ min-max techniques to g
ive a rigorous existence proof for these surfaces. Conjecturally\, the sel
f-shrinkers that we obtain have precisely one (asymptotically conical) end
. We confirm this for large genus via a precise analysis of the limiting o
bject of sequences of such self-shrinkers for which the genus tends to inf
inity. Finally\, we present some numerical evidence for a further new fami
ly of noncompact self-shrinkers with odd genus and two asymptotically coni
cal ends. This is joint work with Huy Nguyen and Mario Schulz.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antonio de Rosa (University of Maryland)
DTSTART:20220926T160000Z
DTEND:20220926T165000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/17
DESCRIPTION:Title: Min-max construction of anisotropic CMC surfaces\
nby Antonio de Rosa (University of Maryland) as part of Iowa State Geometr
ic Analysis Seminar\n\n\nAbstract\nWe prove the existence of nontrivial cl
osed surfaces with constant anisotropic mean curvature with respect to ell
iptic integrands in closed smooth 3-dimensional Riemannian manifolds. The
constructed min-max surfaces are smooth with at most one singular point. T
he constant anisotropic mean curvature can be fixed to be any real number.
In particular\, we partially solve a conjecture of Allard [Invent. Math.\
, 1983] in dimension 3.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Soumyajit Saha (Iowa State University)
DTSTART:20221017T160000Z
DTEND:20221017T165000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/18
DESCRIPTION:Title: Effects of perturbation on low energy Laplace eigenfu
nctions\nby Soumyajit Saha (Iowa State University) as part of Iowa Sta
te Geometric Analysis Seminar\n\n\nAbstract\nIn this talk\, we will discus
s the effects of perturbation on certain topological and geometrical prope
rties of the nodal sets/vanishing sets of Laplace eigenfunctions. Our disc
ussion will be centered around a well-known conjecture of Payne which stat
es that: the zero set corresponding to the second Laplace eigenfunction of
any bounded planar domain should intersect the boundary at exactly two po
ints. We will look into certain stability properties of the nodal sets and
obtain some results concerning the conjecture. Finally\, we will look int
o an optimization problem that arises from the famous fundamental gap conj
ecture on convex domains\, which will also involve certain perturbative te
chniques.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Malik Tuerkoen (UCSB)
DTSTART:20221205T170000Z
DTEND:20221205T175000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/21
DESCRIPTION:Title: Log-Concavity and Fundamental Gaps on Surfaces of Pos
itive Curvature\nby Malik Tuerkoen (UCSB) as part of Iowa State Geomet
ric Analysis Seminar\n\n\nAbstract\nThe fundamental gap is the difference
of the first two eigenvalues of the Laplace operator\, which is important
both in mathematics and physics and has been extensively studied. For the
Dirichlet boundary condition the log-concavity estimate of the first eigen
function plays a crucial role\, which was established for convex domains i
n the Euclidean space and round sphere. Joint with G. Khan\, H. Nguyen and
G. Wei\, we obtain log-concavity estimates of the first eigenfunction for
convex domains in surfaces of positive curvature and consequently establi
sh fundamental gap estimates.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Armin Schikorra (University of Pittsburgh)
DTSTART:20230306T170000Z
DTEND:20230306T175000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/22
DESCRIPTION:Title: Div-Curl estimates and harmonic maps: Local and nonlo
cal\nby Armin Schikorra (University of Pittsburgh) as part of Iowa Sta
te Geometric Analysis Seminar\n\n\nAbstract\nI will present definitions an
d applications of a notion of\nfractional div-curl structures. I will talk
about their role in the\ntheory of fractional harmonic maps\, such as reg
ularity theory and\nconservation laws.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Flavien Léger (INRIA Paris)
DTSTART:20231002T160000Z
DTEND:20231002T165000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/23
DESCRIPTION:Title: Cross-curvature: new areas of applications\nby Fl
avien Léger (INRIA Paris) as part of Iowa State Geometric Analysis Semina
r\n\n\nAbstract\nCross-curvature\, also known as the Ma–Trudinger–Wang
tensor\, was introduced in the field of optimal transport to study the re
gularity of certain Monge–Ampère equations. Until recently the use of c
ross-curvature has been almost entirely confined to the setting of optimal
transport.\n\nIn this talk I will introduce two new areas of applications
. Firstly\, in the field continuous optimization\, I will present a new cl
ass of gradient-type methods that extend gradient descent to more general
geometries. Thanks to tools from optimal transport and in particular cross
-curvature\, we can develop a theory for stability and convergence rates t
hat unifies existing results and establishes new ones.\n\nIn the second pa
rt of the talk\, I will present geometric formulas for the asymptotics of
certain integrals studied with the Laplace method. These are of interest f
or certain entropic transport problems and small-time limits of the heat k
ernel.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gabriella Clemente (Paris Orsay)
DTSTART:20231016T160000Z
DTEND:20231016T165000Z
DTSTAMP:20260404T110744Z
UID:ISUGeometricAnalysis/24
DESCRIPTION:Title: The curvature of almost-hermitian structures\nby
Gabriella Clemente (Paris Orsay) as part of Iowa State Geometric Analysis
Seminar\n\n\nAbstract\nIn this talk\, I will discuss some local\, higher o
rder\, differential obstructions to the integrability of almost-complex st
ructures. I will explain how to specialize these obstruction equations to
the non-flat\, constant curvature\, almost-hermitian case\, and will produ
ce a global obstruction from them under a compactness assumption. I will e
nd with an outline of a strategy to recover known results on the non-exist
ence of compact\, non-flat\, hermitian space forms. The strategy can poten
tially lead to finding new examples of almost-hermitian but not hermitian
manifolds via relaxation of the initial curvature constraint.\n
LOCATION:https://stable.researchseminars.org/talk/ISUGeometricAnalysis/24/
END:VEVENT
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