Notes of lectures and talks

1. Slides for my talk "Orbifold conformal field theory: General conjectures, open probelms and initial results", October 19, 2024, AMS 2024 Fall Eastern Sectional Meeting, Special Session on Recent Advances in Vertex Operator Algebras.
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2. Lecture notes on vertex operator algebras and tensor categories, 46 pages on April 27, 2024, for my graduate course "Math 557: Vertex operator algebra theory: vertex operator algebras and tensor categories," Spring, 2024. These notes are not finished yet. Section 8 is still to be typed and more material will be added to Sections 6 and 7. They will be incorporated into my book-in-preparation "Two-dimensional conformal field theory."
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3. Lecture notes on representation theory of vertex operator algebras and conformal field theory, 22 pages on March 29, 2022, for my graduate course "Math 557: Vertex operator algebra theory: Representation theory of vertex operator algebras and conformal field theory," Spring, 2022. These notes are still being updated every week during the semester. They will be incorporated into my book-in-preparation "Two-dimensional conformal field theory."
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4. Slides for my talk "Representation theory of vertex operator algebras and conformal field theory", July 6, 2021, The Mathematics of Conformal Field Theory II, Mathematical Sciences Institute, Australian National University.
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5. Slides for my talk "Representation theory of vertex operator algebras and orbifold conformal field theory", December 3, 2020, Talks in mathematical physics, Department of Mathematics, ETH Zürich.
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6. Slides for my talk "Associative algebras and the representation theory of grading-restricted vertex algebras", November 3, 2020, Rocky Mountain Representation Theory Seminar.
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7. Lecture notes on vertex algebras and quantum vertex algebras, for my graduate course "Math 555: Selected Topics in Algebra: Vertex algebras and quantum vertex algebras," Spring, 2020. These notes will be updated frequently during the semester. They will be part of my book-in-preparation "Two-dimensional conformal field theory."
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8. Slides for my talk "A construction of lower-bounded generalized twisted modules for a grading-restricted vertex algebra", April 14, 2019, Mini-workshop: Vertex Algebras in Mathematics and Physics, University at Albany, State University of New York, Albany.
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9. Slides for my talk "Affine Lie algebras and tensor categories", April 23, 2018, 10th Seminar on Conformal Field Theory, Research Institute for Mathematical Sciences, Kyoto University, Kyoto.
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10. Slides for my talk "Twisted intertwining operators and nonabelian orbifold theories", January 19, 2018, 9th Darmstadt-Erlangen-Freiburg Seminar on Conformal Field theory, Albert-Ludwigs-Universität Freiburg, Freiberg.
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11. Slides for my talk "Associative algebras for (logarithmic) twisted modules for a vertex operator algebra", February 12, 2016, Lie Group / Quantum Math Seminar, Rutgers University, Piscataway.
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12. Slides for my Institute Talk "Two-dimensional conformal field theory", June 3, 2015, Institute of Mathematics, Chinese Academy of Sciences, Beijing.
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13. Slides for my talk "Vertex operator algebras, fractional quantum Hall states and topological orders", January 30, 2015, Lie Group / Quamtum Math Seminar, Rutgers University, Piscataway.
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14. Slides for my talk "A program to construct and study conformal field theories", November 26, 2014, Operator Algebra Seminar, University of Tokyo, Tokyo.
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15. Slides for my talk "Modular invariance in conformal field theory", March 14, 2014, Lie Group / Quantum Math Seminar, Rutgers University, Piscataway.
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16. Slides for my talk "Meromorphic open-string vertex algebras and Riemannian manifolds" at "Lie Theorey Session, IV CONGRESO LATINOAMERICANO DE MATEMÁTICOS", August 6 to 10, 2012, Universidad Nacional de Córdoba, Córdoba, Argentina.
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17. Slides for my talk "Quantum Hall states and the representation theory of vertex operator algebras", January 9, 2012, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China.
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18. Slides for my talk "Quantum Hall states and the representation theory of vertex operator algebras", November 18, 2011, CUNY Representation Theory Seminar, Graudate Center, CUNY, New York.
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19. Lecture notes for my course ``Introduction to representation theory and tensor categories", March to June, 2011, Beijing International Center for Mathematical Research, Peking University, Beijing, China.
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20. Notes of my talk at the workshop "Topological Phases and Emergent Phenomena in Physics", July 5-9, 2010, Department of Physics, Fudan University, Shanghai, China.
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21. Lecture notes at Joint Mathematics and Physics summer school on Topological phases, conformal field theory and tensor category, June 28 - July 2, 2010, Institute for Advanced Study, Tsinghua University, Beijing, China.
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