BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jaehoon Lee (Seoul National University)
DTSTART:20200925T093000Z
DTEND:20200925T103000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/1/">Closed Lagrangian Self-Shrinkers in $\\mathbb{R}^4$ Symme
 tric with Respect to a Hyperplane</a>\nby Jaehoon Lee (Seoul National Univ
 ersity) as part of Geometry Seminar\, Universidad de Granada (Spain)\n\nAb
 stract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jorge de Lira (Universidad de Ceará)
DTSTART:20201016T110000Z
DTEND:20201016T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/2/">Einstein type elliptic systems.</a>\nby Jorge de Lira (Un
 iversidad de Ceará) as part of Geometry Seminar\, Universidad de Granada 
 (Spain)\n\n\nAbstract\nWe will discuss a type of semi-linear systems of pa
 rtial differential equations which are motivated by the conformal formulat
 ion of the Einstein constraint equations coupled with realistic physical f
 ields on asymptotically flat manifolds. In particular\, electromagnetic fi
 elds give rise to this kind of systems. In this context\, under suitable c
 onditions\, we prove a general existence theorem for such systems\, and\, 
 in particular\, under smallness assumptions on the free parameters of the 
 problem\, we prove existence of far from CMC (near CMC) Yamabe positive (Y
 amabe non-positive) solutions for charged dust coupled to the Einstein equ
 ations\, satisfying a trapped surface condition on the boundary. As a bypa
 ss\, we prove a Helmholtz decomposition on asymptotically flat manifolds w
 ith boundary\, which extends and clarifies previously known results.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eddygledson Souza Gama (Universidade Federal Rural do Semi-Árido 
 (Brasil))
DTSTART:20201030T120000Z
DTEND:20201030T130000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/3/">A barrier principle at infinity for varifolds with bounde
 d mean curvature</a>\nby Eddygledson Souza Gama (Universidade Federal Rura
 l do Semi-Árido (Brasil)) as part of Geometry Seminar\, Universidad de Gr
 anada (Spain)\n\n\nAbstract\nIn this lecture\, we are going to talk about 
 a version of the barrier principle for varifolds at infinity. The main aim
 s of this lecture is to prove the validity of the equality\n\n$\\mathrm{di
 st}(\\partial\\Omega\,\\mathrm{spt}\\|\\Sigma\\| )= \\mathrm{dist}(\\parti
 al\\Omega\,\\mathrm{spt}\\|\\partial\\Sigma\\| )\, $\n\nwhen $\\Omega$ is 
 an open set in a complete Riemannian manifold \\(M\\) both with a particul
 ar structure and $\\Sigma$ is varifolds with bounded mean curvature satisf
 ies a particular condition. This work was done jointly with Jorge H. de Li
 ra (Universidad Federal do Ceará)\, Luciano Mari (Universitá degli Stu
 di di Torino) and Adriano A. de Medeiros (Universidade Federal da Paraı́
 ba)\n\n222601\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Roncoroni (University of Granada)
DTSTART:20201106T103000Z
DTEND:20201106T113000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/4/">Classification of solutions to the critical p-Laplace equ
 ations</a>\nby Alberto Roncoroni (University of Granada) as part of Geomet
 ry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nWe consider the
  following critical $p$-Laplace equation: \n\n$(1)\\qquad \\Delta_p u+u^{p
 ^{\\ast}-1}=0 \\quad \\text{ in $\\mathbb{R}^n$}\, $\n\nwith $n \\geq 2$ a
 nd $1 < p < n$. Equation \\eqref{p-Laplace} has been largely studied in th
 e PDE's and geometric analysis' communities\, since extremals of Sobolev i
 nequality solve \\eqref{p-Laplace} and\, for $p=2$\, the equation is relat
 ed to the Yamabe's problem. In particular\, it has been recently shown\, e
 xploiting the moving planes method\, that positive solutions to (1) such t
 hat \n$u\\in L^{p^\\ast}(\\mathbb{R}^n)$ and $\\nabla u\\in L^p(\\mathbb{R
 }^n)$ can be completely classified. In the talk we will consider the aniso
 tropic critical $p$-Laplace equation in convex cones of $\\mathbb{R}^n$. S
 ince the moving plane method strongly relies on the symmetries of the equa
 tion and of the domain\, in the talk a different approach to this problem 
 will be presented. In particular this approach gives a complete classifica
 tion of the solutions in an anisotropic setting. More precisely\, we chara
 cterize solutions to the critical $p$-Laplace equation induced by a smooth
  norm inside any convex cone of $\\mathbb{R}^n$.\n%which allows us to give
  a complete classification of the solutions in an anisotropic setting as w
 ell as to a suitable generalization of the problem in convex cones\n\nThis
  is a joint work with G. Ciraolo and A. Figalli.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Miguel Manzano (University of Jaén)
DTSTART:20201120T093000Z
DTEND:20201120T103000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/5/">Horizontal Delaunay surfaces with constant mean curvature
  in product spaces</a>\nby José Miguel Manzano (University of Jaén) as p
 art of Geometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nIn
  this talk\, we will describe the 1-parameter family of horizontal Delauna
 y surfaces in $\\mathbb{S}^2\\times\\mathbb{R}$ and $\\mathbb{H}^2\\times\
 \mathbb{R}$ with supercritical constant mean curvature. These surfaces are
  not equivariant but singly periodic\, and they lie at bounded distance fr
 om a horizontal geodesic. We will show that horizontal unduloids are prope
 rly embedded surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$. We also descri
 be the first non-trivial examples of embedded constant mean curvature tori
  in $\\mathbb{S}^2\\times\\mathbb{R}$ which are continuous deformations fr
 om a stack of tangent spheres to a horizontal invariant cylinder. They hav
 e constant mean curvature $H>1/2$. Finally\, we prove that there are no pr
 operly immersed surface with critical or subcritical constant mean curvatu
 re at bounded distance from a horizontal geodesic in $\\mathbb{H}^2\\times
 \\mathbb{R}$.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:João Paulo dos Santos (Universidade do Brasília)
DTSTART:20201218T120000Z
DTEND:20201218T133000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/6/">Hypersurfaces of constant higher order mean curvature in 
 $M×\\mathbb{R}$</a>\nby João Paulo dos Santos (Universidade do Brasília
 ) as part of Geometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstra
 ct\nWe consider hypersurfaces of products $M\\times \\mathbb{R}$ with cons
 tant r-th mean curvature — to be called $H_r$-hypersurfaces — where $M
 $ is an arbitrary Riemannian manifold. We develop a general method for con
 structing them\, and employ it to produce many examples for a variety of m
 anifolds $M$\, including all simply connected space forms and the Hadamard
  manifolds known as Damek-Ricci spaces. Uniqueness results for complete $H
 _r$-hypersurface of $\\mathbb{H}^n\\times\\mathbb{R}$ or $\\mathbb{S}^n\\t
 imes\\mathbb{R}$ $(n \\geq 3)$ are also obtained. This is a joint work wit
 h Ronaldo de Lima (UFRN) and Fernando Manfio (ICMC-USP).\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesús Castro-Infantes (University of Granada)
DTSTART:20210219T110000Z
DTEND:20210219T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/7/">A construction of constant mean curvature surfaces  in $\
 \mathbb{H}^2\\times \\mathbb{R}$ and the Krust property</a>\nby Jesús Cas
 tro-Infantes (University of Granada) as part of Geometry Seminar\, Univers
 idad de Granada (Spain)\n\n\nAbstract\nIn this talk we will construct via 
  Daniel's sister correspondence in $\\mathbb H^2\\times\\mathbb R$ a  2-pa
 rameter family of Alexandrov-embedded constant mean curvature $0\\\,$<$\\\
 ,H\\leq 1/2$ surfaces in $\\mathbb H^2\\times \\mathbb R$ with $2$ ends an
 d genus $0$. They are symmetric with respect to a horizontal slice and $k$
  vertical  planes disposed symmetrically. We will discuss the embeddedness
  of the constant mean curvature surfaces of this family\, and we  will sho
 w that the Krust property does not hold for $0\\\,$<$\\\,H\\leq1/2$\; i.e\
 , there are minimal graphs over convex domain in $\\widetilde{\\text{SL}}_
 2(\\mathbb R)$ and $\\text {Nil}_3$ whose sister conjugate surface is not 
 a vertical graph in $\\mathbb H^2\\times\\mathbb R$.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Franc Forstnerič (University of Ljubljana)
DTSTART:20210312T110000Z
DTEND:20210312T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/8/">Schwarz-Pick lemma for harmonic maps which are conformal 
 at a point</a>\nby Franc Forstnerič (University of Ljubljana) as part of 
 Geometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nWe obtain
  a sharp estimate on the norm of the differential of a harmonic map from t
 he unit disc ${\\mathbb D}$ in $\\C$ to the unit ball ${\\mathbb B}^n$ in 
 $\\R^n$\, $n\\ge 2$\, at any point where the map is conformal. In dimensio
 n $n=2$ this generalizes the classical Schwarz-Pick lemma to harmonic maps
  $\\mathbb D\\to\\mathbb D$ which are conformal only at the reference poin
 t. In dimensions $n\\ge 3$ it gives the optimal Schwarz-Pick lemma for con
 formal minimal discs $\\mathbb D\\to {\\mathbb B}^n$. Let ${\\mathcal M}$ 
 denote the restriction of the Bergman metric on the complex $n$-ball to th
 e real $n$-ball ${\\mathbb B}^n$. We show that conformal harmonic immersio
 ns $M \\to ({\\mathbb B}^n\,{\\mathcal M})$ from any hyperbolic open Riema
 nn surface $M$ with its natural Poincar\\'e metric are distance-decreasing
 \, and the isometries are precisely the conformal embeddings of $\\mathbb 
 D$ onto affine discs in ${\\mathbb B}^n$. (Joint work with David Kalaj.)\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ezequiel Barbosa (Universidad de Granada)
DTSTART:20210305T110000Z
DTEND:20210305T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/9/">On non-compact free boundary minimal hypersurfaces in the
  Riemannian Schwarzschild spaces</a>\nby Ezequiel Barbosa (Universidad de 
 Granada) as part of Geometry Seminar\, Universidad de Granada (Spain)\n\n\
 nAbstract\nWe will show that\, in contrast with the 3-dimensional case\, t
 he Morse index of a free boundary rotationally symmetric totally geodesic 
 hypersurface of the $n$-dimensional Riemannnian Schwarzschild space with r
 espect to variations that are tangential along the horizon is zero\, for $
 n\\geq4$. Moreover\, we will show that there exist non-compact free bounda
 ry minimal hypersurfaces which are not totally geodesic\, $n\\geq 8$\, wit
 h Morse index equal to 0. Also\, for $n\\geq4$\, there exist infinitely ma
 ny non-compact free boundary minimal  hypersurfaces\, which are not congru
 ent to each other\, with infinite Morse index. Finally\, we will discuss t
 he density at infinity of a free boundary minimal hypersurface with respec
 t to a minimal cone constructed over a minimal hypersurface of the unit Eu
 clidean sphere. We obtain a lower bound for the density in terms of the ar
 ea of the boundary of the hypersurface and the area of the minimal hypersu
 rface in the unit sphere. This lower bound is optimal in the sense that on
 ly minimal cones achieve it.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marilena\, Moruz (Al.I. Cuza University of Iasi)
DTSTART:20210409T100000Z
DTEND:20210409T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/10/">Ruled real hypersurfaces in $\\mathbb CP^n_p$</a>\nby Ma
 rilena\, Moruz (Al.I. Cuza University of Iasi) as part of Geometry Seminar
 \, Universidad de Granada (Spain)\n\n\nAbstract\nH. Anciaux and K. Panagio
 tidou [1] initiated the study of non-degenerate real hypersurfaces in non-
 flat indefinite complex space forms in 2015. Next\, in 2019 M. Kimura and 
 M. Ortega [2] further developed their ideas\, with a focus on Hopf real hy
 persurfaces in the indefinite complex projective space $\\mathbb CP^n_p$. 
 In this work we are interested in the study of non-degenerate ruled real h
 ypersurfaces in $\\mathbb CP^n_p$. We first define such hypersurfaces\, th
 en give basic characterizations. We also construct their parameterization.
  They are described as follows. Given a regular curve $\\alpha$ in $\\math
 bb CP^n_p$\, then the family of the complete\, connected\, complex $(n −
  1)$-dimensional totally geodesic submanifolds orthogonal to $\\alpha'$ an
 d $J\\alpha'$\, where $J$ is the complex structure\, generates a ruled rea
 l hypersurface. This representation agrees with the one given by M. Lohnhe
 rr and H. Reckziegel in the Riemannian case [3]. Further insights are give
 n into the cases when the ruled real hypersurfaces are minimal or have con
 stant sectional curvatures. The present results are part of a joint work t
 ogether with prof. M. Ortega and prof. J.D. Pérez. \n\n[1] H. Anciaux\, K
 . Panagiotidou\, Hopf Hypersurfaces in pseudo-Riemannian complex and para-
 complex space forms\, Diff. Geom. Appl. 42 (2015) 1-14.\n\n[2] M. Kimura\,
  M. Ortega\, Hopf Real Hypersurfaces in Indefinite Complex Projective\, Me
 diterr. J. Math. (2019) 16:27.\n\n[3] M. Lohnherr\, H. Reckziegel\, On rul
 ed real hypersurfaces in complex space forms. Geom. Dedicata 74 (1999)\, n
 o. 3\, 267–286.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brian White (Stanford University)
DTSTART:20210325T160000Z
DTEND:20210325T170000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/11/">Mean Curvature Flow with Boundary</a>\nby Brian White (S
 tanford University) as part of Geometry Seminar\, Universidad de Granada (
 Spain)\n\n\nAbstract\nAlmost all of the extensive research on mean curvatu
 re flow has been for surfaces without boundary. However\, it is interestin
 g and natural to consider MCF for surfaces with boundary. In this talk\, I
  will describe a useful weak formulation of such flows that gives existenc
 e for all time with arbitrary initial data. Furthermore\, under rather mil
 d hypotheses on the initial surface\, the moving surface remains forever s
 mooth at the boundary\, even after singularities may have formed in the in
 terior. On the other hand\, if one relaxes those hypotheses\, then interes
 ting boundary singularities can occur.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pozuelo\, Julián (University of Granada)
DTSTART:20210416T100000Z
DTEND:20210416T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/12/">Existence of isoperimetric regions in sub-Finsler nilpot
 ent groups</a>\nby Pozuelo\, Julián (University of Granada) as part of Ge
 ometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nWe consider
  a nilpotent Lie group with a bracket-generating distribution $\\mathcal{H
 }$ and an asymmetric left-invariant norm $\\|\\cdot\\|_K$ induced by a con
 vex body $K\\subseteq\\mathcal{H}_0$ containing $0$ in its interior. In th
 is talk\, we will associate a left-invariant perimeter functional $P_K$ to
  $K$ following De Giorgi's definition of perimeter and prove the existence
  of minimizers of $P_K$ under a volume (Haar measure) constraint. We will 
 also discuss some properties of the isoperimetric regions and the isoperim
 etric profile.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Graham Smith (Universidade Federal do Rio de Janeiro)
DTSTART:20210430T110000Z
DTEND:20210430T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/13/">The Kulkarni-Pinkall form and locally strictly convex im
 mersions in $\\mathbb{H}^3$</a>\nby Graham Smith (Universidade Federal do 
 Rio de Janeiro) as part of Geometry Seminar\, Universidad de Granada (Spai
 n)\n\n\nAbstract\nIn this talk we study applications of the Kulkarni-Pinka
 ll form to the study of locally strictly convex immersions in $\\mathbb{H}
 ^3$. We deduce a new a priori estimate which in turn allows us to complete
 ly solve the asymptotic Plateau problem for $k$-surfaces in hyperbolic spa
 ce as formulated by Labourie. This work has interesting intersections with
  a paper of Espinar-Galvez-Mira. This work appears in https://arxiv.org/ab
 s/2104.03181.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gianmarco Giovannardi (Universidad de Granada)
DTSTART:20210528T100000Z
DTEND:20210528T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/14/">The Bernstein problem for Euclidean Lipschitz surfaces i
 n the sub-Finsler Heisenberg group $\\mathbb{H}^1$</a>\nby Gianmarco Giova
 nnardi (Universidad de Granada) as part of Geometry Seminar\, Universidad 
 de Granada (Spain)\n\n\nAbstract\nWe shall prove that in the first Heisenb
 erg group with a sub-Finsler structure\, a complete\, stable\, Euclidean L
 ipschitz and $H$-regular surface is a vertical plane. This is joint work w
 ith Manuel Ritoré.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Or Hershkovits (Hebrew University of Jerusalem)
DTSTART:20210625T100000Z
DTEND:20210625T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/15/">Classification of non-collapsed translators in \\(\\math
 bb{R}^4\\)</a>\nby Or Hershkovits (Hebrew University of Jerusalem) as part
  of Geometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nTrans
 lating solution to the mean curvature flow form\, together with self-shrin
 king solutions\, the most important class of singularity models of the flo
 w. When a translator arises as a blow-up of a mean convex mean curvature f
 low\, it also naturally satisfies a non-collapsness condition.\nIn this ta
 lk\, I will report on a recent work with Kyeongsu Choi and Robert Haslhofe
 r\, in which we show that every mean convex\, non-collapsed\, translator i
 n $\\mathbb{R}^4$ is a member of a one parameter family of translators\, w
 hich was earlier constructed by Hoffman\, Ilmanen\, Martín and White.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Kalaj (University of Montenegro)
DTSTART:20211001T100000Z
DTEND:20211001T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/16/">Curvature of minimal graphs</a>\nby David Kalaj (Univers
 ity of Montenegro) as part of Geometry Seminar\, Universidad de Granada (S
 pain)\n\n\nAbstract\nWe consider the Gaussian curvature conjecture of a mi
 nimal graph $S$ over the unit disk. First of all we reduce the general con
 jecture to the estimating the Gaussian curvature of some Scherk's type min
 imal surfaces  over a quadrilateral inscribed in the unit disk containing
  the origin inside.\nAs an application we improve so far the obtained uppe
 r estimates of  Gaussian curvature at the point above the center. Further
  we obtain an optimal estimate of the Gaussian curvature at the point $\\m
 athbf{w}$ over the center of the disk\, provided $\\mathbf{w}$ satisfies c
 ertain "symmetric" conditions. The result extends a classical result of Fi
 nn and Osserman in 1964. In order to do so\, we construct a certain family
  $S^t$\, $t\\in[t_\\circ\, \\pi/2]$ of Scherk's type minimal graphs over t
 he isosceles trapezoid inscribed in the unit disk. Then we compare the Gau
 ssian curvature of the graph $S$ with that of $S^t$ at the point $\\mathbf
 {w}$ over the center of the disk.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Álvaro Kruger Ramos (Universidade Federal do Rio Grande do Sul)
DTSTART:20211015T100000Z
DTEND:20211015T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/17/">Area Minimizing Surfaces in $E(-1\,\\tau)$</a>\nby Álva
 ro Kruger Ramos (Universidade Federal do Rio Grande do Sul) as part of Geo
 metry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nRecall that 
 $E(-1\,\\tau)$ is a homogeneous space with four-dimensional isometry group
  which is given by the total space of a fibration over $\\mathbb{H}^2$ wit
 h bundle curvature $\\tau$. Given a finite collection of simple closed cur
 ves $\\Gamma$ in its asymptotic boundary\, we provide sufficient condition
 s on $\\Gamma$ so that there exists an area minimizing surface $\\Sigma$ i
 n $E(-1\,\\tau)$ with asymptotic boundary $\\Gamma$. We also present neces
 sary conditions for such a surface $\\Sigma$ to exist. This is joint work 
 with P. Klaser and A. Menezes.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giuseppe Pipoli
DTSTART:20211105T110000Z
DTEND:20211105T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/18/">Constant mean curvature hypersurfaces in $\\mathbb{H}^n 
 \\times\\mathbb{R}$ with small planar boundary</a>\nby Giuseppe Pipoli as 
 part of Geometry Seminar\, Universidad de Granada (Spain)\n\n\nAbstract\nW
 e show that constant mean curvature hypersurfaces in $\\mathbb{H}^n \\time
 s\\mathbb{R}$\, with small and pinched boundary contained in a horizontal 
 slice $P$ are topological disks\, provided they are contained in one of th
 e two halfspaces determined by $P$. This is a joint work with B. Nelli and
  it is the analogous in $\\mathbb{H}^n \\times\\mathbb{R}$ of a result in 
 $\\mathbb{R}^3$ by A. Ros and H. Rosenberg.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antonio Martínez-Triviño (Universidad de Granada)
DTSTART:20220204T110000Z
DTEND:20220204T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/19/">A Weiertrass type representation for translating soliton
 s and singular minimal surfaces</a>\nby Antonio Martínez-Triviño (Univer
 sidad de Granada) as part of Geometry Seminar\, Universidad de Granada (Sp
 ain)\n\nLecture held in Sala de Conferencias (IMAG).\n\nAbstract\nIn this 
 talk\, we present a Weierstrass representation formula for translating sol
 itons and singular minimal surfaces in $\\mathbb{R}^3$. As application\, w
 e study when the euclidean Gauss map has harmonic argument and solve a gen
 eral Cauchy's problem in this class of surfaces.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Shahbazi (Universidad Autónoma de Madrid)
DTSTART:20220318T110000Z
DTEND:20220318T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/20/">The mathematical theory of globally hyperbolic supersymm
 etric configurations in supergravity</a>\nby Carlos Shahbazi (Universidad 
 Autónoma de Madrid) as part of Geometry Seminar\, Universidad de Granada 
 (Spain)\n\nLecture held in Seminario 1 (IMAG).\n\nAbstract\nI will give a 
 pedagogical introduction to the incipient mathematical theory of globally 
 hyperbolic supersymmetric configurations in supergravity in four dimension
 s. First\, I will introduce the basics of supergravity in four dimensions 
 as well as the notion of globally supersymmetric configuration as a soluti
 on to the supergravity spinorial equations. Then\, I will introduce the th
 eory of spinorial polyforms associated to bundles of irreducible real Clif
 ford modules\, which provides a convenient geometric framework to study fi
 rst-order differential spinorial equations\, such as the supergravity spin
 orial equations. Then\, I will consider the evolution problem for globally
  hyperbolic supersymmetric configurations\, focusing on the constraint equ
 ations\, their moduli of solutions\, and the construction of explicit solu
 tions to the evolution equations\, which we reformulate as the supergravit
 y flow equations for a coupled family of functions and global co-frames on
  a Cauchy hypersurface. This will lead us to explore in detail the case of
  (possibly Einstein) globally hyperbolic Lorentzian four-manifolds equippe
 d with a parallel or Killing spinor\, obtaining several results about the 
 differentiable topology and geometry of such manifolds. Finally\, I will m
 ention several open problems and open directions for future research.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gioacchino Antonelli (Scuola Normale Superiore di Pisa)
DTSTART:20220218T110000Z
DTEND:20220218T120000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/21/">Sharp differential inequalities for the isoperimetric pr
 ofile in spaces with Ricci lower bounds</a>\nby Gioacchino Antonelli (Scuo
 la Normale Superiore di Pisa) as part of Geometry Seminar\, Universidad de
  Granada (Spain)\n\nLecture held in Seminar 1\, IMAG.\n\nAbstract\nIn this
  talk I will discuss sharp differential inequalities for the isoperimetric
  profile function in spaces with Ricci bounded from below\, and with volum
 es of unit balls uniformly bounded from below. After that\, I will highlig
 ht some of the consequences of such inequalities for the isoperimetric pro
 blem. After a short introduction about the notion of perimeter in the metr
 ic measure setting\, I will pass to the motivation and statement of the sh
 arp differential inequalities on Riemannian manifolds. Hence\, I will disc
 uss the proof\, which builds on a non smooth generalized existence theorem
  for the isoperimetric problem (after Ritoré-Rosales\, and Nardulli)\, an
 d on a non smooth sharp Laplacian comparison theorem for the distance func
 tion from isoperimetric boundaries (after Mondino-Semola). At the end I wi
 ll discuss how to use such differential inequalities to study the behaviou
 r of the isoperimetric profile for small volumes. This talk is based on so
 me results that recently appeared in a work in collaboration with E. Pasqu
 aletto\, M. Pozzetta\, and D. Semola. Some of the tools and ideas exploite
 d for the proofs come from other works in collaboration with E. Bruè\, M.
  Fogagnolo\, and S. Nardulli.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Franc Forstneric (University of Ljubljana)
DTSTART:20220401T100000Z
DTEND:20220401T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/22/">Hyperbolic domains in real Euclidean spaces</a>\nby Fran
 c Forstneric (University of Ljubljana) as part of Geometry Seminar\, Unive
 rsidad de Granada (Spain)\n\nLecture held in Seminar 1 (IMAG).\n\nAbstract
 \nIn a recent joint work with David Kalaj (2021)\, we introduced a new Fin
 sler pseudometric on any domain in the real Euclidean space $\\mathbb R^n$
  for $n\\ge 3$\, defined in terms of conformal harmonic discs\, by analogy
  with the Kobayashi pseudometric on complex manifolds. This "minimal pseud
 ometric" describes the maximal rate of growth of hyperbolic conformal mini
 mal surfaces in a given domain. On the unit ball\, the minimal metric coin
 cides with the classical Beltrami-Cayley-Klein metric. I will discuss suff
 icient geometric conditions for a domain to be (complete) hyperbolic\, mea
 ning that its minimal pseudometric is a (complete) metric.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Chen
DTSTART:20220603T100000Z
DTEND:20220603T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/23/">Triply periodic minimal surfaces</a>\nby Hao Chen as par
 t of Geometry Seminar\, Universidad de Granada (Spain)\n\nLecture held in 
 Seminar 1 (IMAG).\n\nAbstract\nTriply periodic minimal surfaces (TPMSs) ar
 e minimal surfaces in flat 3-tori. I will review recent discoveries of new
  examples of TPMSs and outline future steps towards an eventual complete c
 lassification of TPMSs of genus 3.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Chen
DTSTART:20220606T100000Z
DTEND:20220606T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/24/">Gluing Karcher-Scherk saddle towers</a>\nby Hao Chen as 
 part of Geometry Seminar\, Universidad de Granada (Spain)\n\nLecture held 
 in Seminar 1 (IMAG).\n\nAbstract\nTraizet’s node opening technique has b
 een very powerful to construct minimal surfaces. In fact\, it was first ap
 plied to glue saddle towers into minimal surfaces. But for technical reaso
 ns\, the construction has much room to improve. I will talk about the ongo
 ing project that addresses to various technical problems in the gluing con
 struction. In particular\, careful treatment of Dehn twist has revealed ve
 ry subtle interactions between saddle towers.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Chen
DTSTART:20220609T100000Z
DTEND:20220609T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/25/">Minimal surfaces as an interdisciplinary topic</a>\nby H
 ao Chen as part of Geometry Seminar\, Universidad de Granada (Spain)\n\nLe
 cture held in Semianr 2 (IMAG).\n\nAbstract\nAll my works on minimal surfa
 ces has been motivated or inspired by natural sciences\, including materia
 l sciences\, bio-membranes\, fluid dynamics\, etc. I will give an informal
  talk (since I’m not natural scientist) about how minimal surface theory
  could benefit from interdisciplinary interactions.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adrià Marín Salvador
DTSTART:20220624T100000Z
DTEND:20220624T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/26/">On the canonical contact structure of the space of null 
 geodesics of a spacetime: the role of Engel geometry in dimension 3</a>\nb
 y Adrià Marín Salvador as part of Geometry Seminar\, Universidad de Gran
 ada (Spain)\n\nLecture held in Seminar 1 (IMAG).\n\nAbstract\nThe space of
  null geodesics of a spacetime (a Lorentzian manifold with a choice of fut
 ure) sometimes has the structure of a smooth manifold. When this is the ca
 se\, it comes equipped with a canonical contact structure. I will introduc
 e the theory for a countable number of metrics on the product $S^2\\times 
 S^$. Motivated by these examples\, I will comment on how Engel geometry ca
 n be used to describe the manifold of null geodesics\, by considering the 
 Cartan deprolongation of the Lorentz prolongation of the spacetime. This a
 llows us to characterize the 3-contact manifolds which are spaces of null 
 geodesics\, and to retrieve the spacetime they come from. This is joint wo
 rk with R. Rubio.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduardo Longa (Universidade de Sao Paulo)
DTSTART:20220615T100000Z
DTEND:20220615T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/27/">Critical embeddings for the first eigenvalue of the Lapl
 acian</a>\nby Eduardo Longa (Universidade de Sao Paulo) as part of Geometr
 y Seminar\, Universidad de Granada (Spain)\n\nLecture held in Seminar 1 (I
 MAG).\n\nAbstract\nThe eigenvalues of the Laplace-Beltrami operator on a c
 losed Riemannian manifold are very natural geometric invariants. Although 
 in many problems the Riemannian structure is kept fixed\, the eigenvalues 
 can be seen as functionals in the space of metrics. This is the suitable s
 etting for the calculus of variations. In this vein\, El Soufi and Ilias h
 ave characterised the metrics which are critical for the first eigenvalue 
 among all metrics of fixed volume and among all metrics of fixed volume in
  a conformal class. In the talk\, I will prove a similar characterisation 
 for some critical metrics which are induced by embeddings into a fixed Rie
 mannian manifold.\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Handan Yildirim (University of Istanbul)
DTSTART:20220708T100000Z
DTEND:20220708T110000Z
DTSTAMP:20260404T094508Z
UID:SeminarioGeometry/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Semin
 arioGeometry/28/">On Legendrian dual surfaces of a spacelike curve in the 
 3-dimensional lightcone</a>\nby Handan Yildirim (University of Istanbul) a
 s part of Geometry Seminar\, Universidad de Granada (Spain)\n\nLecture hel
 d in Seminar 1 (IMAG).\n\nAbstract\nIn this talk which is based on the joi
 nt work with Kentaro Saji given in [3]\, taking into account the Legendria
 n dualities in [2] which are extensions of the Legendrian dualities in [1]
 \, we first introduce new extended Legendrian dualities for the 3-dimensio
 nal pseudo-spheres of various radii in Lorentz-Minkowski 4-space. Secondly
 \, by connecting all of these Legendrian dualities continuously\, we const
 ruct Legendrian dual surfaces (lying in these 3-dimensional pseudo-spheres
 ) of a spacelike curve in the 3-dimensional lightcone. Finally\, we invest
 igate the singularities of these surfaces and show the dualities of the si
 ngularities of a certain class of such a surface in the 3-dimensional ligh
 tcone.\n\n[1] S. Izumiya\, Legendrian dualities and spacelike hypersurface
 s in the lightcone\, Moscow Mathematical Journal\, 9 (2009)\, 325-357.\n\n
 [2] S. Izumiya\, H. Yildirim\, Extensions of the mandala of Legendrian dua
 lities for pseudo-spheres in Lorentz-Minkowski space\, Topology and its Ap
 plications\, 159(2012)\, 509-518.\n\n[3] K. Saji\, H. Yildirim\, Legendria
 n dual surfaces of a spacelike curve in the 3-dimensional lightcone\, Jour
 nal of Geometry and Physics\, 104593\, https://doi.org/10.1016/j.geomphys.
 2022.104593\n
LOCATION:https://stable.researchseminars.org/talk/SeminarioGeometry/28/
END:VEVENT
END:VCALENDAR