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SUMMARY:Eiji Inoue (RIKEN iTHEMS)
DTSTART:20210720T110000Z
DTEND:20210720T120000Z
DTSTAMP:20260423T021342Z
UID:ZAG/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/139/">Pe
 relman's entropy and optimal degeneration</a>\nby Eiji Inoue (RIKEN iTHEMS
 ) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nAlgebrai
 c optimal degeneration of Fano variety along Kahler-Ricci flow was origina
 lly constructed by Chen-Sun-Wang and was deepened by Dervan-Szekelyhidi\, 
 Han-Li and recent Blum-Liu-Xu-Zhuang. The degeneration is a substantial in
 termediate for studying a Fano variety with Kahler-Ricci soliton appearing
  in the Gromov-Hausdorff limit of Kahler-Ricci flow. The degeneration is c
 haracterized by a valuation which maximizes `H-entropy' among all valuatio
 ns. Motivated by these works\, I would like to explain my ongoing attempt 
 to optimal degeneration of polarized variety with respect to `mu-entropy'.
  The mu-entropy appears in my study on mu-cscK metrics and muK-stability\,
  which I introduced to understand cscK metrics and Kahler-Ricci soliton in
  a unified way. Going deep into the story\, we encounter Perelman's entrop
 y\, which turns out to be the origin of our story.\n
LOCATION:https://researchseminars.org/talk/ZAG/139/
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