Explore a mathematical lecture examining Teleman's conjecture and its relationship to gauging topological field theories, focusing on how Hamiltonian group actions on symplectic manifolds mirror holomorphic fibrations. Delve into the mirror construction process through equivariant Lagrangian Floer theory and understand quantum corrections arising from equivariant obstruction of Lagrangian correspondence for symplectic quotient. Learn about the connections between Lagrangian correspondence obstruction, Seidel elements, and degenerations in this collaborative research presentation from Boston University's Siu Cheong Lau and his colleagues Nai-Chung Conan Leung and Yan-Lung Leon Li.