Seminar on GeometrySpring/Fall 2023, Boğaziçi, İstanbulTime / Location: Fridays 4:00 / TB240 

TIME  SPEAKER  TITLE 
Jan 1621 
The 10th GTSS GeometryTopology Winter School
Nesin Mathematics Village  
Jan 27 Fri, 4:00 
No Seminar
 
Feb 3 Fri, 4:00 
Zoom link. Pass: geometry in Turkish.
Meeting ID: 991 1027 7750 
Spectrum of the Riemannian Laplacian on the round ndimensional sphere

Feb 10 Fri, 4:00 
Spectrum of the Riemannian Laplacian on the round ndimensional sphere 2
 
Feb 17 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 1
Index of Spheres as totally geodesic minimal submanifolds  
Feb 24 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 2
Jacobi Fields on Spheres  
Mar 45 
Conference  SCGAS
Irvine, CA 
Mar 10 Fri, 4:00 
No Seminar
 
Mar 17 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 3
Negative definite index form  
Mar 24 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 4
Killing fields on the sphere  
Mar 31 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 5
Using Killing fields on the sphere to find nullity  
Apr 7 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 6
An extrinsic rigidity theorem  
Apr 13 Thu, 4:30 
Jan Kotrbaty Frankfurt 
An algebraic approach to inequalities in convex geometry Oberseminar Differentialgeometrie, MPIM Lecture Hall 
Apr 14 Fri, 3:30 
Craig van Coevering Boğaziçi 
Extremal Kähler metrics and the moment map
Online AG Seminar 
Apr 20 Thu, 4:30 
Tommaso Cremaschi Luxembourg 
Geometry of some infinitetype hyperbolic 3manifolds Oberseminar Differentialgeometrie, MPIM Lecture Hall 
Apr 21 Fri, 4:00 
Holiday 
Ramazan Bayramı

Apr 25 Tue, 4:30 
Thomas Schick Göttingen 
Rigidity of scalar curvature and low regularity Oberseminar Topologie, Endenicher Allee 60, Raum 1.008 
Apr 28 Fri, 3:00 
Minimal Surfaces and the Bernstein Problem 7
Rigidity theorem for higher codimension  
May 4 Thu, 10:30 
Justin Sawon North Carolina/MPIM 
Lagrangian fibrations in six dimensions Seminar Algebraic Geometry (SAG) Vivatsgasse 7, Hörsaal MPIM 
4:30 
Shi Wang MSU/MPIM 
Eisenstein series and cusp counting in hyperbolic manifolds Oberseminar Differentialgeometrie, MPIM Lecture Hall 
May 5 Fri, 3:00 
Minimal Surfaces and the Bernstein Problem 8
Rigidity theorem for higher codimension 2  
May 812 
Workshop  Noncommutative Geometry and Operator Algebras
Lecture hall HIM, Poppelsdorfer Allee 45, Bonn 
May 11 Thu, 4:30 
Thang Nguyen Uni. of Michigan 
Local rigidity of boundary actions Oberseminar Differentialgeometrie, MPIM Lecture Hall 
May 12 Fri, 3:00 
Minimal Surfaces and the Bernstein Problem 9
Sphere rigidity theorem  
May 1719 
Conference  A Complex Differential Geometry Meeting at UniTo
Università degli Studi di Torino 
May 24 Wed, 2:00 
Dies Academicus  
May 26 Fri, 4:00 
No Seminar  
Jun 2 Fri, 4:00 
Holiday 
Pfingstferien

Jun 9 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 10
TBA  
Jun 16 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 11
Index and nullity of a minimal surface  
Jun 23 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 12
TBA  
Jun 30 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 13
Minimal surfaces in the 6sphere. First and second normal bundles  
Jul 7 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 14
Moving frames in the 6sphere  
Jul 14 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 15
TBA  
Jul 1722 
Youtube 
The 11th GTSS GeometryTopology Summer School
IMBM  Week 1 
Jul 2429 
Videos  Summer School
IMBM  Week 2 
Aug 4 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 16
Holomorphic curvature and torsion  
Aug 711 
Conference  Analytic Methods in Complex Geometry
Münster 
Aug 18 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 18
Holomorphic interpretation of the Torsion  
Aug 25 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 19
Holomorphic Frenet equations  
Sep 1 Fri, 4:00 
Minimal Surfaces and the Bernstein Problem 20
Holomorphic interpretation of the Torsion  
Sep 8 Fri, 4:00 
No Seminar  
Sep 1116 
The 12th GTSS GeometryTopology Summer School
Nesin Mathematics Village  Week 1  
Sep 1823 
Summer School
Week 2  
Sep 29 Fri, 3:30 
No Seminar
 
Oct 7 Fri, 3:30 
Minimal varieties in higher dimensional spheres 1
Introduction. Riemannian vector bundles.  
Oct 1316 
Conference  Symmetry and shape
Santiago de Compostela, Spain 
Oct 21 Fri, 3:30 
Minimal varieties in higher dimensional spheres 2
Laplace operator  
Oct 28 Fri, 3:30 
Minimal varieties in higher dimensional spheres 3
Geometry of immersed submanifolds  
Nov 4 Fri, 3:30 
Minimal varieties in higher dimensional spheres 4
Curvature of the normal bundle  
Nov 8 Tue, 2:15 
Oberseminar Global Analysis and Operator Algebras 
On special submanifolds of the Page space
Location: Endenicher Allee 60, Room 0.008 
Nov 11 Fri, 3:30 
Minimal varieties in higher dimensional spheres 5
Mean curvature and minimal varieties  
Nov 18 Fri, 4:00 
Minimal varieties in higher dimensional spheres 6
The case of Kähler manifolds  
Nov 25 Fri, 4:00 
Minimal varieties in higher dimensional spheres 7
The case of Kähler manifolds 2  
Dec 2 Fri, 4:00 
Minimal varieties in higher dimensional spheres 8
The case of Kähler manifolds 3  
Dec 9 Fri, 4:00 
Minimal varieties in higher dimensional spheres 9
An extension of the Synge Lemma  
Dec 16 Fri, 4:00 
Minimal varieties in higher dimensional spheres 10
Laplacian of the Shape Operator  
Dec 23 Fri, 4:00 
Minimal varieties in higher dimensional spheres 11
Mean curvature and minimal varieties  
Dec 30 Fri, 4:00 
Minimal varieties in higher dimensional spheres 12
Curvature of the normal bundle  
Jan 6 Fri, 4:00 
Minimal varieties in higher dimensional spheres 13
Projection of parallel vector fields as the Kernel of the Jacobi operator 
Using the spherical harmonic functions we understand the eigenvalues and eigenvectors of the Laplacian on the round 2sphere
also the general nsphere. [1] contains explicit descriptions of the eigenvalues and eigenvectors of the standard basic manifolds including the nsphere. Of historical interest is the treatment in what is arguably the first textbook on physics by Tait and Thomson. The latter (a.k.a. Lord Kelvin) used it to estimate the age of the sun. Inaccurately, but not due to errors in the mathematics, thermonuclear reactions hadn’t yet been discovered.[MO]
We will be using the following resources.
References:
In this learning seminar series, we will give an introduction to minimal submanifolds of the higher dimensional spheres.
In particular we give estimates on the index of the Jacobi operator.
Talk about applications on the Plateau's problem and Bernstein conjecture.
Ingredients of the individual seminars are as follows:
B1: Index of Spheres as totally geodesic minimal submanifolds.
B2: Jacobi fields on totally geodesic minimal spheres in higher dimensional spheres.
B3: Negative definite index form.
B4: Killing Fields on the sphere.
B5: Using Killing Fields on the sphere to find nullity.
B6: An extrinsic rigidity theorem.
B7: Rigidity theorem for higher codimension.
B8: Rigidity theorem for higher codimension 2.
S10: Laplacian of the Shape Operator.
S11: Mean curvature and minimal varieties.
S12: Curvature of the normal bundle.
S13: Projection of parallel vector fields as the Kernel of the Jacobi operator.
We will be following the classical beautiful paper.Differential Geometry Seminar Archive
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