Seungjae Lee, Cohomological Isomorphism of Symmetric Power of Cotangent Bundle of Ball Quotient and its Toroidal Compactification

In this talk, we investigate the L²-Dolbeault cohomology of the symmetric power of cotangent bundles of ball quotients with finite volume, as well as their toroidal compactification. As a result, we establish a version of L²-Hodge decompostion for complex hyperbolic space forms with finite volume, under some mild condition for lattice.