Riemann's minimal surface

MATH331: Riemann Surfaces - part 1

We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.

From playlist The Riemann Sphere

Complex surfaces 2: Minimal surfaces

This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc

From playlist Algebraic geometry: extra topics

L. Mazet - Some aspects of minimal surface theory (Part 5)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

L. Mazet - Some aspects of minimal surface theory (Part 4)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

L. Mazet - Some aspects of minimal surface theory (Part 1)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

L. Mazet - Some aspects of minimal surface theory (Part 3)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

L. Mazet - Some aspects of minimal surface theory (Part 2)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

André NEVES - Gromov’s Weyl Law and Denseness of minimal hypersurfaces

Minimal surfaces are ubiquitous in Geometry but they are quite hard to find. For instance, Yau in 1982 conjectured that any 3-manifold admits infinitely many closed minimal surfaces but the best one knows is the existence of at least two. In a different direction, Grom

From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger

L. Mazet - Minimal hypersurfaces of least area

In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the minimal hypersurface of least area in any Riemannian manifold. As a consequence, we give a lower bound for the area of a minimal surface in a hyperbolic 3-manifold.

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

8ECM Plenary Lecture: Franc Forstnerič

From playlist 8ECM Plenary Lectures

The embedded Calabi-Yau problem for minimal surfaces of finite genus - Joaquin Perez

Workshop on Mean Curvature and Regularity Topic: The embedded Calabi-Yau problem for minimal surfaces of finite genus Speaker: Joaquin Perez Affiliation: UGR Date: November 8, 2018 For more video please visit http://video.ias.edu

From playlist Workshop on Mean Curvature and Regularity

The Geometry of soap films -- minimal surfaces by Rukmini Dey

PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.

From playlist Summer School for Women in Mathematics and Statistics 2019

Minimal Surfaces in $CH^2$ and their Higgs Bundles by John Loftin

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

Entropy, Algebraic Integers and Moduli of Surfaces - Curtis McMullen

Curtis McMullen Harvard University December 7, 2010 For more videos, visit http://video.ias.edu

From playlist Mathematics

Minimal surfaces in R^3 and Maximal surfaces in L^3 (Lecture 3) by Pradip Kumar

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME : 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This w

From playlist Geometry and Topology for Lecturers

The SL (2, R) action on spaces of differentials (Lecture 01) by Jayadev Athreya

DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o

From playlist Surface group representations and Projective Structures (2018)

Geometry Of The Hitchin Integrable Systems, And Some Variations (Lecture 1) by Jacques Hurtubise

PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

New and old results in the classical theory of…surfaces in Euclidean 3-space R^3 - Bill Meeks

Members' Seminar Topic: New and old results in the classical theory of minimal and constant mean curvature surfaces in Euclidean 3-space R^3 Speaker: Bill Meeks Affiliation: University of Massachusetts Amherst Date: October 22, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

F. Coda Marques - Morse theory and the volume spectrum

In this talk I will survey recent developments on the existence theory of closed minimal hypersurfaces in Riemannian manifolds, including a Morse-theoretic existence result for the generic case.

From playlist 70 ans des Annales de l'institut Fourier

Higher solutions of Hitchin’s selfduality equations and real sections by Sebastian Heller

DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be

From playlist Analytic and Algebraic Geometry-2018