Math 7830, Spring 2016

Srikanth B. Iyengar

Class:  Tuesday and Thursday   9:10 AM–10:30 AM,   AEB 360

Office:  202 JWB

E-mail:  my-last-name at math dot utah dot edu

Office Hours:  10:00–12:00 Wednesday and by appointment.

References: There is no one textbook for this class. I will be dipping into the following sources.

L. L. Avramov, Infinite free resolutions. This is available on his home page.
W. Bruns, J. Herzog, Cohen-Macaulay rings, Cambridge Univ. Press.
R.-O. Buchweitz, G. M. Gruel, F.-O. Schreyer, Cohen-Macaulay modules over hypersurface singularties II, Invent. Math. 88 (1987) 165--182.
D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980) 35--64.
T. Gulliksen, G. Levin, Homology of local rings, Queen Papers in Pure and Applied Mathematics 20
H. Knoerrer, Cohen-Macaulay modules over hypersurface singularties I, Invent. Math. 88 (1987) 153--164.

Supplementary reading:

D. Ferrand, Suite reguliere et intersection complete, C. R. Acad. Sc. Paris Ser. A 264 (1967) 427--428.
N. Mohan Kumar, Complete Intersections, J. Math Kyoto Univ. 17 (1977) 533--538.
J.-P. Serre, Sur la dimension homologique des anneaux et des modules noetheriens, Proc. Int. Symp. Tokyo-Nikko (1956) 175--189.
W. Vasconcelos, Ideals generated by R-sequences, J. Algebra 6 (1967) 309--316.

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