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Complete Calabi-Yau metrics: Recent progress and open problems
February 13, 2023 @ 12:30 pm - 1:30 pm
Speaker: Tristan Collins, MIT
Title: Complete Calabi-Yau metrics: Recent progress and open problems
Abstract: Complete Calabi-Yau metrics are fundamental objects in Kahler geometry arising as singularity models or “bubbles” in degenerations of compact Calabi-Yau manifolds. The existence of these metrics and their relationship with algebraic geometry are the subjects of several long standing conjectures due to Yau and Tian-Yau. I will describe some recent progress towards the question of existence, and explain some future directions, highlighting connections with notions of algebro-geometric stability.