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Algebra Seminar - Vincent Gelinas

From October 23, 2017 15:30 until October 23, 2017 16:30
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Vincent Gelinas
University of Toronto

Title:    Constructing infinite free resolutions for rings of Krull dimension one via noncommutative Artinian rings

Abstract:   The classical Hilbert Syzygy Theorem states that finitely generated modules over a polynomial ring Q =  C[x_0, ..., x_n] have finite projective resolutions. The Auslander-Buchsbaum-Serre Theorem states that the same holds for Q/I if and only if Spec(Q/I) is smooth. When the latter is singular, one often seeks to understand the structure of modules with infinite minimal projective resolution, in particular their asymptotic behavior.    When dim(Q/I) <=1, under modest technical assumptions and using recent results of Buchweitz-Iyama-Yamaura, we will show how to construct all tails of minimal projective resolutions over Q/I via an associated Artinian ring L which often leads to complete classifications or at least an understanding of their basic invariants. 


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McMaster University - Faculty of Science

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Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca