2017 指数定理

疑問

• 指数定理
  
  • Thom同型
  • 管状近傍
  • deformation to the normal cone
• virtual fundamental class
  
  • intrinsic normal cone
  • perfect obstruction theory
  • cotangent complex
• 標数pでの量子化
• Kahler-Einstein計量
  
  • GIT
  • K-安定性
  • Kahler-Ricci flow
• 標数pでの分岐指数とblow-upの操作をRicci-flowの観点で解釈できるか?

指数定理

• [足立] Atiyah-Singer 指数定理 ノート
• [本間] 局所指数定理

virtual fundamental class

• [BF] The intrinsic normal cone
• [Shen] Construction of the Virtual Fundamental Class and Applications
  
• [Wise] Obstruction theories and virtual fundamental classes

標数pでの量子化

• [BK] Fedosov quantization in positive characteristic

Kahler-Ricci flow

• [T] KAWA lecture notes on the Kähler-Ricci flow

Higgs-de Rham flow

• [LSY] An inverse Cartier transform via exponential in positive characteristic
• [LSYZ] Uniformization of $p$-adic curves via Higgs-de Rham flows
  

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