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Eiji Inoue

E-mail: eiji.inoue [at] riken.jp
I am a postdoc at RIKEN iTHEMS from April 2021.

CV and Papers & Talks

Research interest
: Geometry and Analysis
Current main interest
: Canonical metrics in Kähler geometry and K-moduli space.

Keywords: μ-cscK metric (including Kähler-Ricci soliton and extremal metric), μK-stability, optimal destabilizer (non-archimedean canonical metric) in 'μ-framework', moduli theory on Fano varieties

Constant μ-scalar curvature Kähler metric (μ-cscK metric) is a framework unifying cscK metric and Kähler-Ricci soliton, which I proposed in arXiv:1902.00664. The concept of μ-cscK metric possesses a natural parameter λ of freedom, which plays a role reminiscent of `temperature'. Kähler-Ricci soliton appears when λ=2π (on a Fano manifold (X, -K_X)) and extremal metric appears in the limit λ=-∞. The related μK-stability has a simple form especially when λ=0 for general polarization. We may regard the parameter as a continuity path connecting Kähler-Ricci soliton and extremal metric on Fano manifolds, or connecting μ^0-cscK metric and extremal metric for general polarization. There is also interesting phenomenon analogous to phase transition when λ tends to +∞. I think μ-cscK metric is an attractive part in the extensive framework on weighted cscK metric introduced by Abdellah Lahdili.

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The latest papers and preprints

Schedules

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Links

Advisors


  • Akito Futaki (2016 Apr.-2018 Mar.)
  • Shigeharu Takayama (2018 Apr. -2020 Sep.)
  • Yuji Odaka (2019 Apr. -2020 Mar. at Kyoto University)


  • Collaborators (ongoing)


  • Hokuto Konno
  • Masaki Taniguchi


  • Friends (Prof. Takayama's students)


  • Takahiro Inayama
  • Masataka Iwai
  • Genki Hosono
  • Takayuki Koike
  • Tomoyuki Hisamoto
  • Shin-ichi Matsumura


  • Memorial Links to Mathematicians in related fields