Not Only Scalar Curvature Seminar

Collection Not Only Scalar Curvature Seminar

00:00:00 / 00:00:00

52 67

Generic regularity for minimizing hypersurfaces in 9 and 10 dimensions

By Otis Chodosh

I will describe recent joint work with Christos Mantoulidis and Felix Schulze in which we prove that in 9 and 10 ambient dimensions, area-minimizing hypersurfaces are generically smooth.

Information about the video

Date of recording 24/01/2024
Date of publication 02/02/2024
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Differential Geometry

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

46:29

published on February 3, 2022

Invitation to scalar curvature

By Mikhail Gromov

01:02:05

published on February 3, 2022

Scalar and mean curvature comparison via the Dirac operator

By Rudolf Zeidler

49:31

published on February 25, 2022

Sequences of manifolds with lower bounds on their scalar curvature

By Christina Sormani

51:51

published on February 25, 2022

Scalar curvature and the dihedral rigidity conjecture

By Chao Li

49:38

published on February 22, 2022

Some introductory remarks on the Novikov conjecture

By Shmuel Weinberger

59:45

published on February 22, 2022

The Novikov conjecture and scalar curvature

By Guoliang Yu

54:54

published on March 11, 2022

Rigidity theorems for the diffeomorphism action on spaces of metrics of positive scalar curvature

By Johannes Ebert

44:46

published on March 11, 2022

Surgery, bordism and scalar curvature

By Bernhard Hanke

47:18

published on March 25, 2022

Ricci flow and singularities

By Natasa Sesum

52:49

published on March 25, 2022

Lower scalar curvature bounds for $C^0$ metrics: a Ricci flow approach

By Paula Burkhardt-Guim

59:42

published on April 7, 2022

Gromov’s dihedral rigidity conjecture and index theory on manifolds with corners

By Jinming Wang

01:01:04

published on April 7, 2022

Comparison of scalar curvature, mean curvature and dihedral angles, and their applications

By Zhizhang Xie

45:07

published on April 19, 2022

Deformations of Dirac operators

By Weiping Zhang

43:37

published on April 21, 2022

Nonnegative scalar curvature and area decreasing maps on complete foliated manifolds

By Guangxiang Su

44:57

published on May 3, 2022

Quasi-local mass and geometry of scalar curvature

By Yuguang Shi

01:03:49

published on May 3, 2022

Incompressible hypersurface, positive scalar curvature and positive mass theorem

By Jintian Zhu

43:08

published on May 11, 2022

Boundary value problems for Dirac operators

By Christian Bär

01:04:17

published on May 11, 2022

Distance estimates in the spin setting and the positive mass theorem

By Simone Cecchini

48:01

published on May 24, 2022

Yamabe constants, Yamabe invariants, and Gromov-Lawson surgeries

By Bernd Ammann

01:10:21

published on May 24, 2022

Yamabe invariants, Weyl curvature, and the differential topology of 4-manifolds

By Claude LeBrun

47:01

published on June 30, 2022

Harmonic maps to metric spaces and applications

By Christine Breiner

47:22

published on June 30, 2022

Level set methods for scalar curvature on three-manifolds

By Daniel Stern

59:15

published on November 14, 2022

Capacity in low regularity, with connections to general relativity

By Jeff Jauregui

47:02

published on November 3, 2022

Recent inequalities on the mass-to-capacity ratio

By Pengzi Miao

45:55

published on November 17, 2022

Scalar curvature rigidity and extremality in dimension 4

By Renato Bettiol

47:42

published on November 17, 2022

Scalar curvature rigidity

By Thomas Schick

52:09

published on December 30, 2022

Lipschitz constant and degree of mappings

By Larry Guth

57:53

published on December 30, 2022

Self-similar solutions to extension and approximation problems

By Robert Young

55:22

published on February 10, 2023

Currents on metric spaces and intrinsic flat convergence

By Christina Sormani

01:00:01

published on February 10, 2023

Spherical Plateau problem and applications

By Antoine Song

47:01

published on February 21, 2023

Recent developments in constant mean curvature hypersurfaces I

By Xin Zhou

51:23

published on February 21, 2023

Recent developments in constant mean curvature hypersurfaces II

By Liam Mazurowski

49:57

published on March 28, 2023

Stein and Weinstein manifolds

By Kai Cieliebak

01:02:35

published on March 28, 2023

Interplay between notions of convexity in complex, symplectic and contact geometries

By Yakov Eliashberg

48:07

published on April 27, 2023

The completion of the space of Lagrangian submanifolds for the spectral metric

By Claude Viterbo

59:02

published on April 27, 2023

A higher dimensional generalization of the Birkhoff attractor

By Vincent Humilière

51:59

published on May 31, 2023

Positive mass theorem for asymptocially hyperbolic manifolds

By Lan-Hsuan Huang

53:07

published on May 31, 2023

Intrinsic flat stability of the positive mass theorem for graphical manifolds

By Raquel Perales

01:11:26

published on June 13, 2023

Smoothing by Ricci-DeTurck flow and applications to scalar curvature

By Man-Chun Lee

46:38

published on June 13, 2023

Regularising manifolds using Ricci flow

By Peter Topping

49:06

published on November 14, 2023

Index theory and applications to scalar curvature

By Christian Bär

58:32

published on November 14, 2023

On Gromov’s rigidity theorem for polytopes with acute angles

By Yipeng Wang

55:50

published on November 14, 2023

Intrinsic flat stability of Llarull’s theorem in dimension three

By Brian Allen

46:21

published on November 14, 2023

Spacetime harmonic functions and applications

By Marcus Khuri

44:50

published on December 5, 2023

Ricci curvature, fundamental group and the Milnor conjecture (I)

By Aaron Naber

57:06

published on December 5, 2023

Ricci curvature, fundamental group and the Milnor conjecture (II)

By Daniele Semola

36:08

published on December 15, 2023

Spaces with Ricci curvature lower bounds

By Guofang Wei

01:00:32

published on December 15, 2023

Nonnegative Ricci curvature, nilpotency, and Hausdorff dimension

By Jiayin Pan

51:30

published on December 15, 2023

Stability of Llarull’s theorem in all dimensions

By Sven Hirsch

43:47

published on December 15, 2023

Some global effects of positive scalar curvature

By Yuguang Shi

46:32

published on February 2, 2024

Generic regularity in obstacle problems

By Alessio Figalli

48:55

published on February 2, 2024

Generic regularity for minimizing hypersurfaces in 9 and 10 dimensions

By Otis Chodosh

50:52

published on February 28, 2024

A stable version of Gromov’s angle-shrinking problem and its index theoretic applications (Part II)

By Jinming Wang

51:39

published on February 28, 2024

A stable version of Gromov’s angle-shrinking problem and its index theoretic applications (Part I)

By Zhizhang Xie

44:30

published on April 24, 2024

Positive mass theorem for asymptotically flat manifolds with isolated conical singularities

By Changliang Wang

48:20

published on April 24, 2024

Positive mass theorem and positive scalar curvature in the presence of a singularity

By Xianzhe Dai

48:32

published on May 9, 2024

Geometric variational methods to (not only) scalar curvature problems

By Chao Li

01:00:44

published on May 9, 2024

Another aspect of Gromov’s conjectures

By Tin-Yau Tsang

46:03

published on May 28, 2024

On spectra of Laplace and Dirac operators on noncompact manifolds

By Nadine Große

58:59

published on May 28, 2024

On the $L^p$ spectrum

By Nelia Charalambous

01:01:30

published on June 3, 2024

Waists measured via Urysohn width

By Alexey Balitskiy

38:42

published on June 3, 2024

Width, scalar curvature and macroscopic scalar curvature

By Yevgeny Liokumovich

58:19

published on June 18, 2024

Dimension-independent functional inequalities on sub-Riemannian manifolds

By Masha Gordina

47:30

published on June 18, 2024

Logarithmic Sobolev inequalities on homogeneous spaces

By Langbing Luo

01:21:15

published on October 4, 2024

Positive scalar curvature with point singularities

By Rudolf Zeidler

Copyright Carmin.tv 2024

Give feedback