Eiji Inoue

E-mail: eiji.inoue [at] riken.jp

I am a postdoc researcher (math) of RIKEN iTHEMS since April 2021.

CV and Papers & Talks

Research interest

: Geometry and Analysis

Current main interest

: Canonical metrics in Kähler geometry and K-moduli space.

Keywords: optimal degeneration in the framework of μ-cscK metric and μK-stability, moduli theory for μK-stable polarized varieties

What is μ-cscK metric? (in writing)

I love this answer by William Thurston: What's a mathematician to do?

rainbow

The latest papers and preprints

Constant μ-scalar curvature Kähler metric - formulation and foundational results, Journal of Geometric Analysis, 32, Article 145, 2022, available also at arXiv:1902.00664
Equivariant calculus on μ-character and μK-stability of polarized schemes, preprint arXiv:2004.06393, accepted by Journal of Symplectic Geometry.
Entropies in μ-framework of canonical metrics and K-stability, I -- Archimedean aspect: Perelman's W-entropy and μ-cscK metrics, preprint arXiv:2101.11197.
Entropies in μ-framework of canonical metrics and K-stability, II -- Non-archimedean aspect: non-archimedean μ-entropy and μK-semistability, preprint arXiv:2202.12168.
Toric Non-archimedean μ-entropy and thermodynamical structure, preprint arXiv:2303.09090.
I'm now (slowly) writing a paper on ''distortion'' I explained in Cambridge Slide

Schedules

Talks / I'll be there

June, 24--27, 2024, Aarhus, Aarhus Complex Geometry Workshop
July, 8--12, 2024, Tohoku, intense course ''Pluripotential theory over Kahlerian spacetime'' at Tohoku university
Postponed, Princeton, Princeton-Tokyo workshop on Geometric Analysis.