AbstractWe discuss some variants of Mukai’s conjecture for the characterization of projective spaces. We discuss the relation of the complexity of generalized pairs and such kind conjectures. I will talk based on the joint work with Joaquin Moraga.SpeakerYoshinori Gongyo is an Associate Professor of Graduate School of Mathematical Sciences, the University of Tokyo. Research interests: Algebrai...
AbstractIn the 1980s, there was significant progress in the $L^2$-theory of polarized variations of Hodge structure on higher dimensional varieties. In particular, according to the celebrated theorem of Cattani-Kaplan-Schmid and Kashiwara-Kawai, for a polarized variation of Hodge structure on the complement of a normal crossing hypersurface in a compact Kahler manifold, the $L^2$-cohomology and...