Talks-Liu
Talks and Presentations
Talks
2025
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Curvature, perfect matching, and local symmetry of graphs
Data Analytics and Topology,TSIMF, Sanya, Feburary 19, 2025.
2024
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Bounding the diameter of amply regular graphs via optimal transport between neighborhoods
2024年福州大学图论与组合研讨会, Fuzhou University, December 20-23, 2024.
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Bounding the diameter of amply regular graphs via discrete Ricci curvature
2024南京理工大学代数图论研讨会, Nanjing University of Science and Technology, December 14, 2024.
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Curvature, diameter and eigenvalues of amply regular graphs
前沿图论研讨会, Jiangxi Normal University, December 7, 2024.
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Discrete Ricci curvature: bounding the size of graphs
几何与代数基础科学研究中心, East China Normal University, December 6, 2024.
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Isoperimetry and extremal eigenvalues of finite Cayley graphs
Lightening tallk in Workshop on random hyperbolic surfaces and random graphs, CIRM, Marseille, France, November 25-29, 2024.
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Bakry-Emery calculus for discrete entropic curvature
Seminar talk, Tongji University, Shanghai, November 20, 2024.
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Curvature, perfect matching and local symmetry of graphs
TM G 组合与计算机数学 中国数学会2024年学术年会, Jiaxing University, October 31- November 4, 2024.
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Curvature and local matchings of amply regular graphs
Seminar talk, East China University of Science and Technology, Shanghai, October 18, 2024.
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Isoperimetry and extremal eigenvalues of finite Cayley graphs
第十一届图论与组合优化前沿研讨会, Nankai University, Tianjin, October 3-5, 2024.
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Curvature and local matchings of amply regular graphs
online talk, Shanghai University, September 13, 2024.
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Discrete Ricci curvature and diameter estimates of graphs
2024南京理工大学青年几何论坛, Nanjing University of Science and Technology, August 29, 2024.
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Isoperimetry and extremal eigenvalues of finite Cayley graphs
Contributed talk in
The International Conference and PhD-Master Summer School "Graphs and Groups, Complexity and Convexity" (G2C2), Hebei Normal University, Shijiazhuang, August 12, 2024.
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Discrete notions of Ricci curvature and applications to graph theory
2024 International Congress of Basic Science , Beijing, July 14-26, 2024.
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Curvature, diameter and eigenvalues of amply regular graph
Seminar talk, School of Mathematics and Physics, Anhui Jianzhu University, Hefei, June 28, 2024.
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New graph invariants based on p-Laplacians
2024 Workshop on Geometry and nonlinear equations, Dongbei University of Finance and Ecnomics, Dalian, June 15-20, 2024.
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Diameter bounds of graphs via their curvature and eigenvalue (I) and (II)
离散几何与极值组合 (Discrete Geometry and Extremal Combinatorics), Tianyuan Mathematics Research Center, Kunming, May 6 and 7, 2024.
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Isoperimetry and extremal eigenvalues of Cayley graphs
The interaction between geometry, quantum field theory and nonlinear analysis, TSIMF, Sanya, March 18-23, 2024.
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Curvature, diameter and eigenvalues of amply regular graphs
学术报告, School of Mathematics and Statistics, Central China Normal University, Wuhan, March 16, 2024.
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New graph invariants based on p-Laplacians
Joint Workshop on Geometric Analysis, Nonlinear Analysis, and Quantum Information Mathematics Center for Analysis, USTC, Hefei, March 6-7, 2024.
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Bakry-Emery calculus for discrete entropic curvature
第二届几何与泛函不等式及其在偏微分方程中的应用会议, USTC, Hefei, Janurary 19, 2024.
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Vertex isoperimetry on signed graphs and spectra of Cayley graphs
6th Bangkok Workshop on Discrete Geometry, Dynamics and Statistics, Chulalongkorn University, Bangkok, Thailand, Janurary 8-12, 2024.
2023
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Signed graphs as a tool for studying linear and nonlinear graph eigenvalue problems
2023 Seminar in Geometric Analysis, Mathematical Science Research Center, Chongqing University of Technology, December 29, 2023.
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New graph invariants based on p-Laplacians
Computational Topology and Application, TSIMF, Sanya, December 18-22, 2023.
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空间的弯曲
学术报告, Guangxi Normal University, Guilin, November 27, 2023.
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Graph p-Laplacian: A new graph invariant
广西师大-湾大2023年青年微分几何研讨会, Guangxi Normal University, Guilin, November 24-27, 2023.
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New graph invariants based on p-Laplacian
2023杭州几何分析与变分研讨会, Zhejiang University, October 25, 2023.
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Vertex isoperimetry and spectra of Cayley graphs
2023 Xiamen Workshop on Differential Geometry, Xiamen University, September 23, 2023.
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Vertex isoperimetry and spectra of Cayley graphs
百年校庆之“牧野格致”讲堂, Henan Normal University, September 16, 2023.
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Vertex isoperimetry and spectra of Cayley graphs
宁波夏季几何分析研讨会, Ningbo University, September 2, 2023.
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Cheeger type constants and spectral theory of signed graphs
2023 International Congress of Basic Science , Beijing, July 14-26, 2023.
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Geometric and spectral theory of signed graphs
2023年广州组合图论会议, Guangzhou, June 17, 2023.
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Signed graphs as a tool for studying the linear and nonlinear graph eigenvalue problems
online seminar, School of Mathematical (Zhuhai), Sun Yat-sen University, May 31, 2023.
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Curvature, diameter and eigenvalues of amply regular graphs
SEU Yau Center Geometry and PDE Seminar, Shing-Tung Yau Center of Southeast University, May 18, 2023.
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Discrete gradient estimates and applications to graph theory
Workshop on Geometric analyis (2023 Spring), School of Mathematics and Statistics, Henan University of Science and Technology, April 9, 2023.
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Signed graphs as a tool for studying the linear and nonlinear graph eigenvalue problems
Nonlinear analysis and mathematical physcis seminar, School of Mathematical Sciences, Peking University, March 23, 2023.
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Curvature, diameter and eigenvalues of amply regular graphs
珠峰讲坛总609期 , School of Mathematics, Shandong University, March 23, 2023.
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Curvature, diameter and eigenvalues of amply regular graphs
Seminars, online talk, Beijing Normal University, January 12, 2023.
2022
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Nodal domain theorems on signed graphs
2022 Fudan-USTC Workshop on Spectral Geometry, online talk, December 4, 2022.
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Signed graphs and Nodal domain theorems for symmetric matrices
Online seminar talk, Northeast Normal University, November 28, 2022.
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Curvature, diameter and eigenvalues of amply regular graphs
Online seminar talk, Guangdong University of Technology, November 25, 2022.
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Signed graphs and Nodal domain theorems for symmetric matrices
SCMS Combinatorics Seminar, online talk, Shanghai Center for Mathematical Sciences, September 23, 2022.
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Signed graphs and Nodal domain theorems for symmetric matrices
Applied Geometry for Data Sciences, online talk, Mathematical Science Research Center, Chongqing University of Technology, July 27, 2022.
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Bakry-Émery curvature matrices for discrete magnetic Laplacians
Future directions in graph curvature 2022, online talk, Newcastle University and Durham University, July 23, 2022
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p-Laplacians on graphs: basics and problems
2022年几何分析学术研讨会, Chaohu University, July 23, 2022
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Geometric and spectral theory of signed graphs
珠峰讲坛总518期, online talk, School of Mathematics, Shandong University, June 01, 2022
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Geometric and spectral theory of signed graphs
校庆系列学术报告, online talk, Shing-Tung Yau center of Southeast University, May 26, 2022
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Geometric and spectral theory of signed graphs
Mathematical Concepts in the Sciences and Humanities, a conference in honor of Jürgen Jost's 65th Birthday, online talk, MPI MIS Leipzig, May 20, 2022
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Signed graphs and Nodal domain theorems for symmetric matrices
学术报告 (No. 501), online talk, Department of Mathematics, Shantou University, April 15, 2022
2021
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Discrete Ricci curvatures of graphs: The computation side
北航微分几何讨论班 (Beihang Differential Geometry Seminar), online talk, November 16, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
2021 Differential Goemetry Conference in Shing-Tung Yau center of Southeast University, online talk, Southeast University, Nanjing, October 15, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
黎曼几何中分析与变分问题研讨会, Zhejiang University, Hangzhou, October 11, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
International conference and summer school on applied topology, online talk, Hebei Normal University, Shijiazhuang, August 1, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
2021梅州青年几何分析研讨会, Sun Yat-sen University and Jiaying University, Meizhou, July 30, 2021
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The computation of discrete Ricci curvatures of amply regular graphs
Seminar, online talk, Hunan University, June 07, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
2021年武汉大学青年几何分析研讨会 (2021 Workshop of Young geometric analysts at Wuhan University), online talk, Wuhan University, May 16, 2021
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Bakry-Émery curvature on graphs as eigenvalue problem
2021组合、代数与几何学术研讨会 (2021 Workshop on combinatorics, algebra and geometry), Center for Combinatorics, Nankai University, April 18, 2021
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The computation of discrete Ricci curvatures of amply regular graphs
离散几何讨论班 (Seminar on discrete geometry), online talk, March 25, 2021
2020
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Ricci flatness and discrete curvatures of graphs
RUC几何分析研讨班第15期 (RUC Seminar on geometric analysis), online talk, Renmin University of China, December 31, 2020
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Hypercubes, spherical graphs and discrete Ricci curvature
Online seminar, Shandong University (Weihai), December 22, 2020
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Hypercubes, spherical graphs and discrete Ricci curvature
Online seminar, Nankai University, October 29, 2020
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Ricci flatness and discrete curvatures of graphs
2020四川大学代数组合研讨会 (2020 Workshop on Algebraic Combinatorics), online conference, Sichuan University, July 11, 2020
2019
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Discrete Ricci curvature of Yann Ollivier
the International conference on "Analysis and PDEs on Manifolds and Fractals",
Nankai University, China, September 25, 2019
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Spherical graphs and discrete curvature notions
The International Conference and PhD-Master Summer School: Groups and Graphs, Designs and Dynamics (G2D2), China Three Gorges University, Yichang, August 24, 2019.
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Discrete Ricci curvature and related graph classification problems
the 8th International Congress of Chinese Mathematicians (ICCM 2019), Tsinghua University, Beijing, June 13, 2019.
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Discrete Ricci curvature of Yann Ollivier
Workshop of geometric analysis on graphs, Tsinghua University, Beijing, June 07, 2019.
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Discrete Ricci curvature of Yann Ollivier
2019 年东南大学青年几何分析会议, Southeast University, Nanjing, May 25, 2019.
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Discrete Lichnerowicz eigenvalue estimates and related rigidity problems
Workshop on selected topics in Geometric analysis (2019-II), Fujian Normal University, Fuzhou, April 27, 2019.
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Discrete Ricci curvature of Ollivier
2019中山大学-中科大微分几何研讨会 (2019 SYSU-USTC Seminar on Differential Geometry), University of Science and Technology of China, Hefei, April 13, 2019.
2018
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What are discrete spheres?
几何分析讨论班, Zhejiang University, December 28, 2018.
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A discrete curvature approach to strongly spherical graphs
Guangzhou Discrete Mathematics Seminar, Sun Yat-sen University, Guangzhou, December 14, 2018.
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What are discrete spheres?
Differential Geometry Youth Forum in Beijing 2018, Beijing Normal University, December 2, 2018.
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What are discrete spheres?
ECNU Differential Geometry Seminar , East China Normal University, November 14, 2018.
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What are discrete spheres?
微分几何与几何分析讨论班 , Nanjing University, October 12, 2018.
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What are discrete spheres?
School of Mathematics and Statistics, Wuhan University, September 14, 2018.
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What are discrete spheres?
The 4th Workshop on Differential Geometry and Differential Equations, Suzhou Campus, Renmin University of China, September 1, 2018.
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Classification results for graphs with Ricci curvature restrictions
School of Mathematical Sciences, Fudan University, May 28, 2018.
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Discrete Bonnet-Myers Theorem and rigidity properties of hypercubes
”2018中科大-中山大学微分几何研讨会“ (2018 USTC-SYSU Joint Workshop on Differential Geometry), School of Mathematics, Sun Yat-sen University, Guangzhou, Marhc 04, 2018.
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Discrete Bonnet-Myers Theorem and rigidity properties of hypercubes
Young Geometric Analysts Forum 2018, TSIMF, Sanya, Feburary 02, 2018.
2017
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Magnetic sparseness and Schrödinger operators on graphs
Final Conference: Discrete and Continuous Models in the Theory of Networks, ZiF, Bielefel University, November 27-December 1, 2017.
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Discrete Bonnet-Myers Theorem and rigidity properties of hypercubes
Seminars, Shandong University, Ji'nan, November 03, 2017.
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Discrete Bonnet-Myers Theorem and rigidity properties of hypercubes
TM02 Geometry and Topology, Chinese Mathematical Society 2017 Annual Conference, Xiangtan, October 20-24, 2017.
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Magnetic sparseness and Schrödinger operators on graphs
International Conference "Analysis and PDEs on Manifolds", Nankai University, Tianjin, September 21-23, 2017.
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Random metric partitions and higher order eigenvalue estimates
The Conference on Harmonic Analysis, 2017, University of Science and Technology of China, Hefei, May 28-June 3, 2017.
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Discrete Bonnet-Myers Theorem
Workshop on Geometry, Analysis and Quantum information, Shanghai Jiao Tong University, April 22-23, 2017.
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Bakry-Émery curvature functions of graphs
Workshop on Curvatures of Graphs, Simplicial Complexes and Metric Spaces, Tsinghua Sanya International Mathematics Forum, Sanya, Hainan, China, March 13-17, 2017.
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Bakry-Émery curvature functions of graphs (two 1.5hr lectures)
Workshop on aspects of graph theory, Fudan University, Shanghai, China, Feburary 13-18, 2017.
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Discrete Cheeger inequalities and their applications
”2016中山大学-中科大微分几何研讨会“ (USTC-SYSU Joint Workshop on Differential Geometry) USTC, Hefei, January 06, 2017.
2016
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Ricci curvature and eigenvalue estimates for discrete and continuous magnetic Laplacian
”第四次青年几何分析小组会议“ (The Fourth workshop of Young geometric analysts), Renmin University of China, Beijing, December 31, 2016.
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Ricci curvature and eigenvalues estimates for discrete and continuous magnetic Laplacian
Workshop on spectral geometry, Fudan University, Shanghai, China, December 22-23, 2016.
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Structural balance theory and Cheeger inequalities of signed graphs
The 8th AHU-USTC Joint Seminar on Algebraic Combinatorics, Anhui University, Hefei, China, December 10, 2016.
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Workshop on Geometric analysis, Wuhan University, Wuhan, China, December 5, 2016.
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Ricci curvature and eigenvalue estimates for magnetic Laplacian
Mini-Workshop on Geometry & PDE, Xiamen University, Xiamen, China, November 13, 2016.
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Buser inequalities for graph connection Laplacian
Center for Combinatorics, Nankai University, Tianjin, China, November 05, 2016.
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Cheeger inequalities on signed graphs
School of Mathematical Sciences, Nanjing Normal University, Nanjing, China, November 03, 2016.
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Multiway dual Cheeger constants and spectral bounds of graphs
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China, November 02, 2016.
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Frustration index of magnetic graphs and spectral clustering for oriented graphs
Workshop on discrete analysis, Fudan University, Shanghai, China, August 13-14, 2016.
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Bakry-Émery curvature functions of graphs (video)
BIRS workshop
Algebraic and Spectral Graph Theory, Banff, Albert, Canada, July 31-August 5, 2016.
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Higher order Buser inequalities for the graph connection Laplacian
7ECM satellite event Heat Kernels and Analysis on Manifolds and Fractals, Bielefeld University, July 15, 2016.
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Ricci curvature and eigenvalue estimate for the magnetic Laplacian on manifolds
Forschungsseminar Diskrete Spektraltheorie, Institute für Mathematik, Der Universität Potsdam, July 5, 2016.
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Higher order Buser inequalities for the graph connection Laplacian
EPSRC Workshop Geometry and Computation on Groups and Complexes, Newcastle University, June 6, 2016.
2015
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Cheeger inequalities for magnetic Laplacians on graphs and manifolds
FUDAN-USTC Joint Workshop on Spectral Geometry, Fudan University, Shanghai, and University of Science and Technology of China, Hefei, China, December 12, 2015.
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Cheeger inequalities for signed Laplacians
Seminar & Colloquia (hosted by Prof. Yaokun Wu), Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China, December 8, 2015.
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Cheeger constants and Eigenvalue ratios of the Laplacian
Differential Geometry Seminar, Graduate Center, City University of New York, November 5, 2015.
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Signed Laplacians and Spectral Clustering Via Quotient Space Metrics
MS6: Recent Spectral Approaches for Graph Clustering, SIAM Conference on Applied Linear Algebra, Hyatt Regency Atlanta, Atlanta, Georgia, USA, October 26, 2015.
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Non-Combinatorial Combinatorics, Mathematics Institute, University of Warwick, September 16, 2015.
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Higher order Cheeger inequalities for discrete magnetic Laplacians
Vortragsreihe Seminar über Mathematische Physik und Funktionalanalysis , FernUniversität in Hagen, Germnay, July 15, 2015.
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Eigenvalues of magnetic Laplacians on graphs and manifolds: Cheeger inequalities and Ramanujan property
Oberseminar Differentialgeometrie, Max Planck Institute for Mathematics, Bonn, Germnay, July 9, 2015.
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Cheeger inequalities for magnetic Laplacians
Oberseminar Geometric Analysis, University of Bielefeld, Germany, June 2, 2015.
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Seminar (Dr. Han Xiaoli), Department of Mathematical Sciences, Tsinghua University, China, March 1, 2015
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Cheeger constants with signatures and spectral clustering via quotient space metrics
Mini-workshop: Discrete p-Laplacians: Spectral Theory and Variantional Methods in Mathematics and Computer Science, MFO, Oberwolfach, Germany, Februrary 8-14, 2015
2014
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Eigenvalue ratios on closed Riemannian manifolds with nonnegative Ricci curvature
Oberseminar Geometric Analysis, University of Bielefeld, Germany, November 18, 2014.
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian (slides)
Algebra-Geometry seminar, School of Mathematics & Statistics, Newcastle University, October 21, 2014
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Spectral clustering via metrics of projective spaces
Summer Session 2014 ZiF cooperation group "Discrete and Continuous Models in the Theory of Networks",
ZiF, University of Bielefeld, Germany, July 29, 2014
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Multiway dual Cheeger constant and spectral clustering of graphs
Forschungsseminar Diskrete Geometrie, TU Chemnitz, Germany, July 15, 2014
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Oberseminar Analysis, Geometrie und Stochastik, Friedrich-Schiller-Universit?t Jena, Germany, July 9, 2014
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Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Oberseminar GEOMETRIE, MPI MiS, Leipzig, Germany, June 23, 2014
2013
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Kendall-type theorem for generalized harmonic maps
Geometry and Topology Seminar, Durham University, November 21, 2013
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Ricci curvature and spectra estimates on graphs (slides, video)
LMS-EPSRC Durham Symposium Graph theory and interactions, Durham University, July 16, 2013
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Eigenvalues and number of common neighbors of finite graphs
Workshop 1 ZiF cooperation group "Discrete and Continuous Models in the Theory of Networks",
ZiF, University of Bielefeld, Germany, June 26, 2013
2012
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Ricci curvature, local clustering and spectrum of finite graphs
Strukturtheorie-Seminar, Department of Mathematical Structure Theory, TU Graz, Austria, September 18, 2012
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Harmonic functions on infinite semiplanar graphs
Conference on Applications of Graph Spectra in Computer Science, CRM, Bellaterra (Barcelona), Spain, July 16-20, 2012
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Ollivier's Ricci curvature and neighborhood graphs
Arbeitsgruppenseminar Sturm, Institut für Angewandte Mathematik, Universität Bonn, Germany, June 27, 2012
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Infinite semiplanar graphs with nonnegative combinatorial curvature
Symposia, School of Mathematics and Statistics, Wuhan University, China, March 17, 2012
2011
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Ollivier-Ricci curvature on neighborhood graphs
Oberseminar Analysis, Geometrie und Stochastik, Friedrich-Schiller-Universität Jena, Germany, November 16, 2011
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Ricci curvature and local clustering of graphs (slides)
Graduate student symposium within the International Summer School on "Graphs and Spectra", TU Chemnitz, Germany, July 18-23, 2011
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Curvature, random walks, and the spectrum of the graph Laplace operator (jointly with Dr. Frank Bauer)
Spring Scool on Limits of finite graphs, Leipzig, Germany, April 26-30, 2011
2009
- Reading seminar talk
Formal Riemannian structure for space of probabiliy measures, its sectional curvature
Arbeitsgmeinschaft: Optimal Transport and Geometry, MFO, Oberwolfach, Germany, March 29-April 4, 2009
Poster Presentation