数学研究所
学术报告
偏微分方程研讨班
Speaker: Prof.Joaquim Serra (ETH Zürich, Switzerland)
Inviter: 张翼 副研究员
Language: English
Title: Nonlocal minimal surfaces（1）
Time&Venue: 2025年6月2日（周一） 15:00–15:50
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
Title: Nonlocal minimal surfaces（2）
Time&Venue: 2025年6月2日（周一） 16:00–17:00
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（3）
Time&Venue: 2025年6月3日（周二） 15:00–15:50
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（4）
Time&Venue: 2025年6月3日（周二） 16:00–17:00
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（5）
Time&Venue: 2025年6月5日（周四） 15:00–15:50
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（6）
Time&Venue: 2025年6月5日（周四） 16:00–17:00
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（7）
Time&Venue: 2025年6月6日（周五） 15:00–15:50
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
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Title: Nonlocal minimal surfaces（8）
Time&Venue: 2025年6月6日（周五） 16:00–17:00
& Zoom meeting: 872 0683 6498 Code: AMSS2025
Abstract: We will give an overview of nonlocal minimal surfaces in Euclidean space and on Riemannian manifolds.
Tentative outline:
1) The Caffarelli-Roquejoffre-Savin regularity theory for minimizers.
2) The a priori curvature estimates for nonlocal minimal surfaces of finite index.
3) The robust regularity of stable s-minimal surfaces as s approaches 1.
4) Applications to minmax.
5) What are higher codimension nonlocal minimal surfaces?
