Starting February 15, 2025, I have launched the Complex Geometry Informal Seminar based on my YouTube channel, 수학의 즐거움, Enjoying Math. New videos will be uploaded weekly. If you are interested in participating, please email me at wvx17@txstate.edu.
1. Hyperbolic Geometry of Poincare Disk, Invariant metrics on complex manifolds, recorded video, note, Feb 15th, 2025
2. Foundations of Complex geometry: Complex Structure and K\"ahler condition of the Hermitian metric, recorded video, note, Feb 22th, 2025
3. Hermitian metric as differential form, Very rough explanation about CR boundary, recorded video, note, March 1th, 2025
4. Chern Connection, Curvature form, and First Chern connection, recorded video, note, March 8th, 2025
5. Sections of vector bundle, 1st chern class, Calabi Conjecture, recorded video, note, March 8th, 2025
6. Lempert theorem via duality principle approach, recorded video, note, March 16th, 2025
7. Discussion on Lempert theorem -2-, recorded video, March 29th, 2025
8. Discussion on Szego metric, Lempert theorem recorded video, April 19th, 2025
9. Curvature calculation recipe, Bharathi's recent work recorded video, April 27th, 2025
10. Big Conjecture in complex geometry regarding bounded domains, recorded video, note, May 31th, 2025
Additonal Note: Introduction to Calabi Conjecture.
11. Presentation by Elanchearan RS - Work of Cho-Yuan, recorded video, June 7th, 2025
12. First Chern class and Calabi Conjecture, recorded video, June 14th, 2025.
13. Kobayashi Pseudodistance and Lempert function (Bharathi), recorded video, July 12th, 2025
14. First Introduction to Statistical Bergman Geometry, recorded video, note, July 20th, 2025.
15. More on Statistical Bergman Geometry, recorded video, note, July 27th, 2025.
16. Three directions of study and research in this seminar, recorded video, Aug 23th, 2025
17. p-Bergman Theory (by Shreedhar Bhat), recorded video, Aug 30th, 2025