Hebrew University Amitsur Algebra Seminar ---------------------------------- Time: Thursday, March 7, 12:00-13:15 Place: math 209 Speaker: Liran Shaul (Weizmann) Title: Rigid dualizing complexes over commutative adic rings Abstract: We study rigid dualizing complexes in the category of adic rings. First, we recall the notions of derived categories, dualizing complexes, the Greenlees-May duality and rigid dualizing complexes. To develop the theory of rigid dualizing complexes over adic rings, we first extend the Greenlees-May duality to the category of DG-algebras. Next, we study Kahler differentials over adic rings. We establish the local structure of smooth maps in the category of adic rings. We use certain DG-algebra resolutions, called addically free resolutions, to study the derived relative torsion functor. Finally, we use the above theory to establish existence, uniqueness and functoriality of rigid dualizing complexes over a base ring which is regular and noetherian. Based on PhD thesis written under supervision of Prof. Amnon Yekutieli. You are cordially invited! <http://math.huji.ac.il/amitsur.html> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Konstantin Golubev <kost.golubev@mail.huji.ac.il>