“Bulletin Board”

 School of Mathematics - October 22, 2009

Short Course

Free Resolutions of Modules over a Local Ring (2 Sessions)
Leila Sharifan
Tarbiat Moallem University, Sabzevar
November 19 - December 17, 2009 (Thursdays)

 
 
Free Resolutions of Modules over a Local Ring (2 Sessions)
Leila Sharifan
Tarbiat Moallem University, Sabzevar
November 19 - December 17, 2009 (Thursdays)



Abstract

Numerical invariants of a minimal free resolution of a module over a regular local ring can be studied by taking advantage of the rich literature on the graded case. The key is to fix suitable stable filtrations of the module and to compare its Betti numbers with those of the associated graded module. In this course, we will present several applications for the above idea. In particular, we introduce consecutive cancellation method to compute the Betti numbers of filtered modules.

The workshop includes the following lectures:
1) The introduction of blowup Algebras, filtered modules and related problems.
2) Standard basis of filtered modules.
3) Minimal free resolution of finitely generated modules over a local ring.
4) Consecutive cancellations in the Betti numbers of filtered modules.




Information:


Date:Thursday, November 19, 2009
Thursday, December 17, 2009
Time: 9:00-10:30
Place: Niavaran Bldg., Niavaran Square, Tehran, Iran
 
 
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