一、研討會

數學系孟悟理教授

孟悟理教授與日本東京工業大學Yoshihiro Tonegawa教授和英國劍橋大學Neshan Wickramasekera教授透過國家理論中心平台,舉辦線上幾何測度論研討會 (NCTS international Geometric Measure Theory seminar),固定每兩個月辦理一次,活動內容請參閱活動海報及辦理時間如下:

Date & Time

Title

Speaker

2024/03/28
6:30-8:30 a.m.

On the Multiplicity One Conjecture for Mean Curvature Flows of Surfaces

Richard Bamler (University of California, Berkeley)

2024/05/15
8:00-10:00 p.m.

Energy identity for stationary harmonic maps

Daniele Valtorta (University of Milano Bicocca)

2024/07/17
4:00-6:00 p.m.

Almgren minimals sets, minimal cones, unions and products

Xiangyu Liang (Beihang University)

2023/11/15
8:00-10:00 p.m.

Mean curvature flow with surgery

Robert Haslhofer (University of Toronto)

2024/11/20
8:30-10:30 p.m.

Generic Regularity of Minimal Submanifolds

Zhihan Wang (Cornell University)

司靈得教授每週辦理一次線上幾何測度論研討會,邀請各學者與研究生參與,活動內容辦理時間如下:

Date & Time

Title

Speaker

2024/03/12
09:00-10:00a.m.

Low Rank Approximation of Multi-Dimensional Data Set for Completion

Dr. MingQing Xiao

2024/03/19
03:00-04:00p.m.

Limits of Sobolev Homeomorphisms in Nonlinear Elasticity

Dr. Anastasia Molchanova

2024/03/26
03:30-04:30p.m.

The Snapshot Problem for the Wave Equation

Dr. Fulton Gonzalez

2024/04/02
03:00-04:00p.m.

Affine fractional Moser-Trudinger and Morrey inequalities

Dr. Oscar Dominguez Bonilla

2024/04/16
03:00-04:00p.m.

Classification of radial solutions to $-\Delta_g u = e^u$ on Riemannian models

Dr. Prasun Roychowdhury

2024/04/23
03:30-04:30p.m.

Schatten Properties of Calderon–Zygmund Singular Integral Commutator on stratified Lie groups

Ji Li

2024/04/30
03:00-04:00p.m.

A self-improving property of Riesz potentials in BMO

Dr. You Wei-Chen

2024/05/07
03:00-04:00p.m.

Nonlocal gradients and applications to Continuum Mechanics

Dr. José Carlos Bellido

2024/05/14
03:30-04:30p.m.

Wave equation on Hardy spaces

Dr. Riju Basak

2024/05/28
03:00-04:00p.m.

On the theory of compact Calderón-Zygmund operators

Dr. Cody Stockdale

2024/06/11
09:00-10:00a.m.

The Saint-Venant inequality and quantitative resolvent estimates for the Dirichlet Laplacian

Dr. Robin Neumayer

2024/06/18
03:30-04:30p.m.

Self improving size estimates in compensated compactness

Dr. Bogdan Raita

2024/09/10
09:00-10:00a.m.

A norm close to the $L^1$-norm

Prof. Yoshihiro Sawano

2024/10/01
09:00-10:00a.m.

Regularity results for area minimizing currents

Dr. Reinaldo Resende

2024/10/08
03:30-04:30p.m.

Finite time blow-up for the hypodissipative Navier Stokes equations

Prof. Diego Cordoba

2024/10/15
09:00-10:00a.m.

On the Essential Regularity of Singular Connections in Geometry

Prof. Blake Temple

2024/10/22
09:00-10:00a.m.

Regularity of Co-normal Derivatives and Weights

Prof. Simon Bortz

2024/10/29
09:00-10:00a.m.

The Landau equation does not blow up

Prof. Luis Silvestre

2024/11/05
09:00-10:00a.m.

A computer assisted proof of finite time singularity of 3D Euler equations with smooth data

Prof. Thomas Hou

2024/11/12
03:30-04:30p.m.

Isoperimetric conditions and lower semicontinuity for functionals with measures

Thomas Schmidt

2024/11/20
09:00-10:00a.m.

TBA

Prof. Eitan Tadmor

2024/11/26
09:00-10:00a.m.

Some Big Bangs are Unstable

Prof. Willie Wong

2024/12/03
03:30-04:30p.m.

Extensions and differential constraints

Prof.Franz Gmeineder

2024/12/10

Hierarchical construction of images and the problem of Bourgain-Brezis

Prof. Eitan Tadmor

二、國外學者來訪

數學系孟悟理教授

2023年11月13日至17日波蘭華沙大學Sławomir Kolasiński教授來本校數學系訪問,由孟悟理教授接待,旨在進行研究探討以及博士生指導等相關事宜。

數學系林俊吉教授

2024年9月23日至28日,與日本京都大學髙棹圭介副教授(Keisuke Takasao)進行研究合作研議與探討,並已鎖定合作主題,預計未來規劃進行相關合作。

三、小型國際合作工作坊舉辦

2024年9月24日至25日本校數學系林俊吉教授、孟悟理教授及日本東京工業大學Yoshihiro Tonegawa教授、共同規劃「Mini-Workshop on Geometric Variational Problems, Geometric Measure Theory, and Related Topics」。

四、工作坊舉辦 Geometric Analysis Seminar (林俊吉、郭庭榕、張樹城)

Date & Time

Title

Speaker

2024/03/06
15:00-17:00p.m.

Bernstein-Type Theorem for Entire Minimal Graph of Higher Codimensions

張樹城 教授

2024/03/20
15:00-17:00p.m.

Introduction to Geometric Measure Theory Chapter 1, Sec.1-3: Basic Notions, Hausdorff Measure, Density

林俊吉、郭庭榕
Author: Leon Simon

2024/04/03
15:00-17:00p.m.

Introduction to Geometric Measure Theory Chapter 1, Sec.4-6: Differentiation Thm, Radon Measure, Representation Thm

林俊吉、郭庭榕
Author: Leon Simon

2024/04/17
15:00-17:00p.m.

Introduction to Geometric Measure Theory Chap.2, Sec.1-2+Chap.3, Sec.4: Lipschitz functions, BV functions, Sets of Locally Finite Perimeter

林俊吉、郭庭榕
Author: Leon Simon

2024/05/01
15:00-17:00p.m.

Introduction to Geometric Measure Theory Chap.2, Sec.3-5 + Sec. 7: Area Formula, Submanifolds, First Variation, Co-Area Formula (skipping Sec. 6: Second Variation)

林俊吉、郭庭榕
Author: Leon Simon

2024/05/14
15:00-17:00p.m.

Introduction to Geometric Measure Theory Chap.6, Sec.1-2: Vectors, Co-Vectors, Forms, Currents

林俊吉、郭庭榕
Author: Leon Simon

五、論文研究發表

指標項目

113年成果

備註