Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure

Explore advanced concepts in locally conformally symplectic (LCS) geometry through this research seminar talk delivered at the Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar. Delve into the foundations of LCS geometry, first introduced by Lee in the 1940s, as a broader framework for studying Hamiltonian dynamics while maintaining key local properties of symplectic geometry. Learn about the fundamental objects of LCS geometry through definitions and practical examples, examine the LCS version of the nearby Lagrangian conjecture, and discover the interconnections between LCS and contact geometry. Gain insights from speaker Adrien Currier of Université de Nantes as he illuminates this historically understudied field of mathematics that has recently experienced renewed academic interest.