KAWA lecture notes on the K\"ahler-Ricci flow
Valentino Tosatti

TL;DR
These lecture notes introduce the Kähler-Ricci flow on compact Kähler manifolds, covering foundational concepts and recent advances in the field, based on a course given at a winter school.
Contribution
The notes provide a comprehensive introduction and detailed exposition of recent developments in the study of the Kähler-Ricci flow.
Findings
Summarizes recent progress in Kähler-Ricci flow research
Provides detailed mathematical exposition
Connects theory with recent developments
Abstract
These lecture notes are based on a mini-course given by the author at the sixth KAWA Winter School on March 23-26, 2015 at the Centro De Giorgi of Scuola Normale Superiore in Pisa. They provide an introduction to the study of the Kahler-Ricci flow on compact Kahler manifolds, and a detailed exposition of some recent developments.
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