TalksLiu
Talks and Presentations
Talks
2019

Discrete Lichnerowicz eigenvalue estimates and related rigidity problems
Workshop on selected topics in Geometric analysis (2019II), Fujian Normal University, Fuzhou, April 27, 2019.

Discrete Ricci curvature of Ollivier
2019中山大学中科大微分几何研讨会 (2019 SYSUUSTC Seminar on Differential Geometry), University of Science and Technology of China, Hefei, April 13, 2019.
2018

What are discrete spheres?
几何分析讨论班, Zhejiang University, December 28, 2018.

A discrete curvature approach to strongly spherical graphs
Guangzhou Discrete Mathematics Seminar, Sun Yatsen University, Guangzhou, December 14, 2018.

What are discrete spheres?
Differential Geometry Youth Forum in Beijing 2018, Beijing Normal University, December 2, 2018.

What are discrete spheres?
ECNU Differential Geometry Seminar , East China Normal University, November 14, 2018.

What are discrete spheres?
微分几何与几何分析讨论班, Nanjing University, October 12, 2018.

What are discrete spheres?
School of Mathematics and Statistics, Wuhan University, September 14, 2018.

What are discrete spheres?
The 4th Workshop on Differential Geometry and Differential Equations, Suzhou Campus, Renmin University of China, September 1, 2018.

Classification results for graphs with Ricci curvature restrictions
School of Mathematical Sciences, Fudan University, May 28, 2018.

Discrete BonnetMyers Theorem and rigidity properties of hypercubes
"2018中科大中山大学微分几何研讨会"(2018 USTCSYSU Joint Workshop on Differential Geometry), School of Mathematics, Sun Yatsen University, Guangzhou, Marhc 04, 2018.

Discrete BonnetMyers Theorem and rigidity properties of hypercubes
Young Geometric Analysts’ Forum 2018, TSIMF, Sanya, Feburary 02, 2018.
2017

Magnetic sparseness and Schrödinger operators on graphs
Final Conference: Discrete and Continuous Models in the Theory of Networks, ZiF, Bielefel University, November 27December 1, 2017.

Discrete BonnetMyers Theorem and rigidity properties of hypercubes
Seminars, Shandong University, Ji'nan, November 03, 2017.

Discrete BonnetMyers Theorem and rigidity properties of hypercubes
TM02 Geometry and Topology, Chinese Mathematical Society 2017 Annual Conference, Xiangtan, October 2024, 2017.

Magnetic sparseness and Schrödinger operators on graphs
International Conference "Analysis and PDEs on Manifolds", Nankai University, Tianjin, September 2123, 2017.

Random metric partitions and higher order eigenvalue estimates
The Conference on Harmonic Analysis, 2017, University of Science and Technology of China, Hefei, May 28June 3, 2017.

Discrete BonnetMyers Theorem
Workshop on Geometry, Analysis and Quantum information, Shanghai Jiao Tong University, April 2223, 2017.

BakryÉmery curvature functions of graphs
Workshop on Curvatures of Graphs, Simplicial Complexes and Metric Spaces, Tsinghua Sanya International Mathematics Forum, Sanya, Hainan, China, March 1317, 2017.

BakryÉmery curvature functions of graphs (two 1.5hr lectures)
Workshop on aspects of graph theory, Fudan University, Shanghai, China, Feburary 1318, 2017.

Discrete Cheeger inequalities and their applications
“2016中山大学中科大微分几何研讨会” （USTCSYSU Joint Workshop on Differential Geometry) USTC, Hefei, January 06, 2017.
2016

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.

Ricci curvature and eigenvalues estimates for discrete and continuous magnetic Laplacian
Workshop on spectral geometry, Fudan University, Shanghai, China, December 2223, 2016.

Structural balance theory and Cheeger inequalities of signed graphs
The 8th AHUUSTC Joint Seminar on Algebraic Combinatorics, Anhui University, Hefei, China, December 10, 2016.

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Workshop on Geometric analysis, Wuhan University, Wuhan, China, December 5, 2016.

Ricci curvature and eigenvalue estimates for magnetic Laplacian
MiniWorkshop on Geometry & PDE, Xiamen University, Xiamen, China, November 13, 2016.

Buser inequalities for graph connection Laplacian
Center for Combinatorics, Nankai University, Tianjin, China, November 05, 2016.

Cheeger inequalities on signed graphs
School of Mathematical Sciences, Nanjing Normal University, Nanjing, China, November 03, 2016.

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.

Frustration index of magnetic graphs and spectral clustering for oriented graphs
Workshop on discrete analysis, Fudan University, Shanghai, China, August 1314, 2016.

BakryÉmery curvature functions of graphs (video)
BIRS workshop
Algebraic and Spectral Graph Theory, Banff, Albert, Canada, July 31August 5, 2016.

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.

Ricci curvature and eigenvalue estimate for the magnetic Laplacian on manifolds
Forschungsseminar Diskrete Spektraltheorie, Institute für Mathematik, Der Universität Potsdam, July 5, 2016.

Higher order Buser inequalities for the graph connection Laplacian
EPSRC Workshop Geometry and Computation on Groups and Complexes, Newcastle University, June 6, 2016.
2015

Cheeger inequalities for magnetic Laplacians on graphs and manifolds
FUDANUSTC Joint Workshop on Spectral Geometry, Fudan University, Shanghai, and University of Science and Technology of China, Hefei, China, December 12, 2015.

Cheeger inequalities for signed Laplacians
Seminar & Colloquia (hosted by Prof. Yaokun Wu), Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China, December 8, 2015.

Cheeger constants and Eigenvalue ratios of the Laplacian
Differential Geometry Seminar, Graduate Center, City University of New York, November 5, 2015.

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.

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
NonCombinatorial Combinatorics, Mathematics Institute, University of Warwick, September 16, 2015.

Higher order Cheeger inequalities for discrete magnetic Laplacians
Vortragsreihe Seminar über Mathematische Physik und Funktionalanalysis , FernUniversität in Hagen, Germnay, July 15, 2015.

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.

Cheeger inequalities for magnetic Laplacians
Oberseminar Geometric Analysis, University of Bielefeld, Germany, June 2, 2015.

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Seminar (Dr. Han Xiaoli), Department of Mathematical Sciences, Tsinghua University, China, March 1, 2015

Cheeger constants with signatures and spectral clustering via quotient space metrics
Miniworkshop: Discrete pLaplacians: Spectral Theory and Variantional Methods in Mathematics and Computer Science, MFO, Oberwolfach, Germany, Februrary 814, 2015
2014

Eigenvalue ratios on closed Riemannian manifolds with nonnegative Ricci curvature
Oberseminar Geometric Analysis, University of Bielefeld, Germany, November 18, 2014.

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian (slides)
AlgebraGeometry seminar, School of Mathematics & Statistics, Newcastle University, October 21, 2014

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

Multiway dual Cheeger constant and spectral clustering of graphs
Forschungsseminar Diskrete Geometrie, TU Chemnitz, Germany, July 15, 2014

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Oberseminar Analysis, Geometrie und Stochastik, FriedrichSchillerUniversit?t Jena, Germany, July 9, 2014

Cheeger constant, spectral clustering and eigenvalue ratios of Laplacian
Oberseminar GEOMETRIE, MPI MiS, Leipzig, Germany, June 23, 2014
2013

Kendalltype theorem for generalized harmonic maps
Geometry and Topology Seminar, Durham University, November 21, 2013

Ricci curvature and spectra estimates on graphs (slides, video)
LMSEPSRC Durham Symposium Graph theory and interactions, Durham University, July 16, 2013

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

Ricci curvature, local clustering and spectrum of finite graphs
StrukturtheorieSeminar, Department of Mathematical Structure Theory, TU Graz, Austria, September 18, 2012

Harmonic functions on infinite semiplanar graphs
Conference on Applications of Graph Spectra in Computer Science, CRM, Bellaterra (Barcelona), Spain, July 1620, 2012

Ollivier's Ricci curvature and neighborhood graphs
Arbeitsgruppenseminar Sturm, Institut für Angewandte Mathematik, Universität Bonn, Germany, June 27, 2012

Infinite semiplanar graphs with nonnegative combinatorial curvature
Symposia, School of Mathematics and Statistics, Wuhan University, China, March 17, 2012
2011

OllivierRicci curvature on neighborhood graphs
Oberseminar Analysis, Geometrie und Stochastik, FriedrichSchillerUniversität Jena, Germany, November 16, 2011

Ricci curvature and local clustering of graphs (slides)
Graduate student symposium within the International Summer School on "Graphs and Spectra", TU Chemnitz, Germany, July 1823, 2011

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 2630, 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 29April 4, 2009
Poster Presentation