Monday Analysis Seminar: An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
 Date

2015529 16:30 
2015529 18:00
 Place
 Faculty of Science Buliding #3 Room 413

Speaker/Organizer
 Shinichi Matsumura (Tohoku University)

 In this talk, I would like to give a generalization of the cohomology
vanishing theorem to line bundles admitting singular metrics with semipositive curvature. This result can be seen as a generalization of various injectivity and vanishing theorems. To treat transcendental singularities, after regularizing a given singular metric, we study the asymptotic behavior of the harmonic forms with respect to a family of the regularized metrics. Moreover we give a method to obtain \(L^2\)estimates of solutions of the dbarequation, by using the Cech complex.
If time permits, I would like to explain applications to algebraic geometry.
Different place, time and day of the week.