Introduction to the Kahler-Ricci flow


课程题目:Introduction to the Kahler-Ricci flow

课程专家:张世金(北京航空航天大学)

课程时间:12.19-2.23,每周二、周四9:30-11:30,共10

1220222729日,1351012日, 21416

课程地点:腾讯会议: 408 2997 2013密码 0393

课程摘要:本短期课程主要包含两部分,第一部分是Kahler-Ricci flow基础,第二部分主要Kahler-Ricci flow的应用。

Course 1: Quick introduction to the Kahler geometry

Course 2: Definition of KRF and some examples

Course 3: The maximal existence time theorem

Course 4: Converge theorem with negative, zero first Chern class.

Course 5: The Kahler-Ricci flow on Fano manifolds, Perelman’s $\mu$-entropy, and  Perelman’s estimate for scalar curvature

Course 6-8: Mabuchi’s K-energy, a converge theorem for KRF on Fano manifold admits Kahler-Ricci soliton.

Course 9-10: Brief introduction to Hamilton-Tian’s conjecture and Song-Tian’s analytic minimal model program with KRF.

专家简介:张世金,北京航空航天大学数学科学学院副教授,主要研究方向为微分几何与几何分析,特别是(凯勒-) 里奇流及(凯勒-)里奇孤立子方面的研究,至今已在 Trans. AMS, Proceedings Amer. Math. Soc., Math. Z., Results. Math., Pacific J. Math.等国际著名数学期刊上发表了 10 多篇论文。

邀请人:盛利

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Introduction to the Kähler-Ricci Flow(第一次).pdf

Introduction to the Kähler-Ricci Flow(第二次20221222).pdf

Introduction to the Kähler-Ricci Flow(第三次20221227).pdf

Introduction to the Kähler-Ricci Flow(第四次 20221229).pdf

Introduction to the Kähler-Ricci Flow(第5次).pdf

Introduction to the Kähler-Ricci Flow(第6次20220105).pdf

Introduction to the Kähler-Ricci Flow(第7次20230110).pdf

Introduction to the Kähler-Ricci Flow(第8次20230112).pdf

Introduction to the Kähler-Ricci Flow(第9次20230214).pdf

Introduction to the Kähler-Ricci Flow(第10次20230216).pdf

VIDEOS

  • Introduction to the Kahler-Ricci flow I
  • 09:30 - 11:30, 2022-12-20 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow II
  • 09:30 - 11:30, 2022-12-22 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow III
  • 09:30 - 11:30, 2022-12-27 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow IV
  • 09:30 - 11:30, 2022-12-29 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow V
  • 09:30 - 11:30, 2023-01-03 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow VI
  • 09:30 - 11:30, 2023-01-05 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow VII
  • 09:30 - 11:30, 2023-01-10 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow VIII
  • 09:30 - 11:30, 2023-01-12 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow IX
  • 09:30 - 11:30, 2023-02-14 at 腾讯会议
  • 张世金
  • Introduction to the Kahler-Ricci flow X
  • 09:30 - 11:30, 2023-02-16 at 腾讯会议
  • 张世金