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Seungjae Lee, Cohomological Isomorphism of Symmetric Power of Cotangent Bundle of Ball Quotient and its Toroidal Compactification
November 1 @ 3:00 pm - 4:00 pm KST
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.