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Seminar on Geometric Complex Analysis
Seminar information archive ～11/03｜Next seminar｜Future seminars 11/04～
| Date, time & place | Monday 10:30 - 12:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2026/11/16
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Kengo Hirachi (University of Tokyo)
Variation of characteristic numbers of strictly pseudoconvex domains (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
Kengo Hirachi (University of Tokyo)
Variation of characteristic numbers of strictly pseudoconvex domains (Japanese)
[ Abstract ]
Renormalized characteristic numbers of strictly pseudoconvex domains give rise to global CR invariants of their boundaries. In this talk, I will present first-variation formulas for these invariants using the ambient metric. As an application, I will discuss a conjecture of Takeuchi expressing the Burns–Epstein invariant in terms of generalized total Q-prime curvatures, and establish it for boundaries obtained by smooth deformations of the sphere.
[ Reference URL ]Renormalized characteristic numbers of strictly pseudoconvex domains give rise to global CR invariants of their boundaries. In this talk, I will present first-variation formulas for these invariants using the ambient metric. As an application, I will discuss a conjecture of Takeuchi expressing the Burns–Epstein invariant in terms of generalized total Q-prime curvatures, and establish it for boundaries obtained by smooth deformations of the sphere.
https://forms.gle/8ERsVDLuKHwbVzm57
