Hebrew University
 
Amitsur Algebra Seminar
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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>
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Konstantin Golubev   <kost.golubev@mail.huji.ac.il>