|DATE||November 27 (Mon), 2017|
|TITLE||[GS-AG] Toric degeneration of partial flag manifolds and Lagrangian Floer theory|
It is known that any partial flag manifold (of type A) always admits a completely integrable system, called a Gelfand-Cetlin system. In this talk, we review the toric degeneration of a partial flag manifold constructed by Nishinou-Nohara-Ueda and explain how each Gelfand-Cetiln fiber degenerates into a toric fiber. We also discuss the non-displceability of Gelfand-Cetlin fibers via Lagrangian Floer theory. This is joint work with Yoosik Kim and Yong-Geun Oh.