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Eiji Inoue

E-mail: eijinoe [at] ms.u-tokyo.ac.jp

I am a Ph.D. student of Graduate School of Mathematical Sciences, University of Tokyo.
I am now in Tokyo.

CV and Papers & Talks

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

Keywords: moduli space of Fano varieties, μ-cscK (including Kähler-Einstein metric, cscK, Kähler-Ricci soliton and extremal metric), μK-stability, optimal destabilizer in 'μ-framework'

Constant μ-scalar curvature Kähler metric (μ-cscK) is a framework unifying cscK and Kähler-Ricci soliton, which I proposed in arXiv:1902.00664. An intriguing aspect of μ-cscK is that the equation of μ-cscK is naturally parametrized by a real number λ and its behavior deforms as λ varies. While the equation is simple when λ=0, Kähler-Ricci soliton appears when λ=2π (with polarization L=-K_X) and extremal metric appears in the limit λ=-∞. The parameter may be regarded as a continuity path connecting Kähler-Ricci soliton and extremal metric (or connecting μ^0-cscK and extremal metric for general polarizations). We can also observe strange phenomenon like phase transition when λ tends to +∞. I think μ-cscK is an attractive part in the extensive framework on weighted cscK introduecd by Abdellah Lahdili.

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The latest papers and preprints

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Links

Advisors


  • Prof. Akito Futaki
  • Prof. Shigeharu Takayama
  • Yuji Odaka


  • Collaborators


  • Hokuto Konno
  • Masaki Taniguchi


  • Alumni...?


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


  • Memorial Links to Mathematicians in related fields