Talks and Notes

Some Recent Talks:

• 13.05.2021: On Simpson's oper stratum conjecture, Workshop on Moduli Space of Vector Bundles (online), Zhejiang University, China. 

• 21.05.2021: What is nonabelian Hodge theory?, online talk, "What is ... ? Seminar (WiSe)", University of Queensland, Australia. 

• 12.08.2021: Geometry of base manifold which parametrizes a family of Higgs bundles, Geometry and Quantization (GEOQUANT 2021), Universität Freiburg, Germany.

• 01.09.2021: An investigation of Dolbeault moduli spaces via Simpson-Mochizuki correspondence, SFB Retreat 2021, Köln, Germany.

• 13.05.2022: Tame parahoric nonabelian Hodge correspondence, Higgs bundles at infinity II, Hannover, Germany.

• July-August 2022: Short course on "Higgs bundles and local systems", Chern Institut of Mathematics, Nankai University, China.

• 24.02.2023: A nonabelian Hodge correspondence for filtered G-local systems, online talk, USTC Geometric Topology and Higher Teichmüller Seminar, China.

• 29.03.2023: Quiver representations and Betti moduli spaces, SFB Winter Retreat 2023, Lingen, Germany.

• 19.07.2023: Geometry and topology behind linear differential equations, USTC, China.

• 20.07.2023: Irregular nonabelian Hodge correspondence on curves, USTC, China.

• 08.09.2023: A crash course on nonabelian Hodge theory, BICMR, Peking University, China.

• 31.10.2023: Regular and irregular nonabelian Hodge correspondence for meromorphic G-connections, online Geometry and Physics Seminar, IASM, Zhejiang University, China.

• 04.11.2023: Around regular and irregular nonabelian Hodge theory, Higgs bundles, non-Abelian Hodge correspondence and related topics, Chern Institute of Mathematics, Nankai University, China

• Geometry and topology behind linear differential equations, 08.11.2023 at Wuhan University, 17.11.2023 at Sun Yat-Sen University

• November-December 2023: Short course on "Classical, regular and irregular nonabelian Hodge correspondence", Westlake University, China

• 22.12.2023: Stokes phenomenon and meromorphic connections, BICMR, Peking University, China

• 15.01.2024: Meromorphic G-connections and irregular nonabelian Hodge correspondence, RIMS, Kyoto University, Japan

Co-organized conferences:

• 4th Kyoto-Nanjing workshop on algebraic geometry and arithmetic geometry (with Y. Hoshi et Y. Yang from Kyoto, Z. Hu et R. Zong from Nanjing), online, 14-17 November, 2022.

• 5th Kyoto-Nanjing workshop on algebraic geometry and arithmetic geometry (with Y. Hoshi et Y. Yang from Kyoto, Z. Hu et R. Zong from Nanjing), Nanjing University, China, 24-28 August, 2023.

Some Notes and Translations:

• Higgs bundles and local systems

• Variations of Hodge structure (seminar talk note in Nice)

• The Simpson moduli space  (translation of J. Le Potier's French paper, second version, last update 24/12/2018)

• Stability and Hermitian-Einstein Metrics (notes of my talk for the Workshop "Harmonic Maps and Rigidity" in Sisteron 2019, last update 19/04/2019)