[geometry-ml:04087] Geometric Complex Analysis Seminar 7/13

[Kengo Hirachi]

皆様

複素解析幾何セミナー@東大数理のご案内です。
2020年07月13日(月)

10:30-12:00   Zoom開催
井上瑛二 氏 (東大数理)
μ
μ
-cscK metrics and 
μ
μ
K-stability of polarized manifolds
[ 講演概要 ]
I firstly talk about some backgrounds on the following two frameworks; "cscK metrics & K-stability" and "Kähler-Ricci soliton & modified K-stability", whose intersection is precisely the framework on "Kähler-Einstein metrics & K-stability". 
I will introduce a new framework unifying these frameworks, which I call the framework on "
μ
μ
-cscK metrics and 
μ
μ
K-stability". 

There are two divided contents: 
1. I explain formulation and first motivation for 
μ
μ
-cscK metrics and give brief remarks on results parallel to those for cscK metrics / Kähler-Ricci solitons. I will illustrate some attractive features/phenomenon special to 
μ
μ
-cscK metrics by examples; "extremal limit" and "phase transition".  
(cf. https://arxiv.org/abs/1902.00664)
2. I explain how one should/can formulate/derive/express 
μ
μ
-Futaki invariant of test configurations with general singularities. We also construct a characteristic class for families of polarized schemes, which generalizes the CM line bundle in K-stability. I also give a few words on applications to moduli problem. 
Zoomの参加URLはこちらのGoogle formから申請して下さい。

https://forms.gle/vSFPoVR6ugrkTGhX7

前回参加の方には参加URLをお送りしますので再度の申込みは不要です。
講演者も募集中です。

世話人
平地 健吾, 高山 茂晴
-------------- next part --------------
HTMLの添付ファイルを保管しました...
URL: <https://mail.math.nagoya-u.ac.jp/pipermail/geometry-ml/attachments/20200707/5fffa9a9/attachment.html>