Invited Talks:

· Higher Structures, University of Goettingen, Nov 28-Dec 02, 2011.
· International Conference on Geometry and Analysis on Manifolds, UC Santa Barbara, Jul. 2012.
· The 8th China-Japan Friendship Conference in Differential Geometry, Sichuan University, Chengdu, Sep. 2012.
· Young Mathematician Forum, Peking University, Jun. 2013.
· The Second Pacific Rim Mathematical Association (PRIMA) Congress, Shanghai, Jun. 2013.
· Satellite Workshop for the International Conference on Algebraic and Geometric Topology, Capital Normal University, Beijing, Jul. 2013.
· 6th International Congress of Chinese Mathematicians, Taipei, Jul. 2013.
· International Workshop on Geometry and Representation Theory, University of Hong Kong, Nov. 2013.
· Modular Invariants in Topology and Analysis, University of Regensburg, Sep. 2014.
· Workshop on Geometric Quantisation, University of Adelaide, Jul. 2015.
· Glances@Manifolds II, Jagiellonian Univ. in Krakow, Aug 2016.
· International Conference on Geometric Topology and Geometric Analysis, Capital Normal University, Beijing, Dec. 2016.
· 2017 ECNU Summer School of Geometry and Analysis on Manifolds, East Normal University, Shanghai, Jun. 2017 (teach a minicourse)
· String Geometries and Dualities, University of Adelaide, Sep. 2017.
· Australia-China Conference of Noncommutative Geometry and Related Areas, University of Adelaide, Dec. 2017.
· Noncommutative Geometry and Representation Theory, Sichuan University, Chengdu, May. 2018.
· Index Theory and Applications to Positive Scalar Curvature and Related Areas, University of Adelaide, Jun. 2018.
· A Conference on Character Varieties and Quantisation, University of Auckland, Dec 2018.
· Conference on K-theory and Noncommutative Geometry, Shanghai Center for Mathematical Sciences, June 2019.
· Elliptic Cohomology and Physics, Perimeter Institute, Canada, May 2020.