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Prof. Madhusudan Manjunath

Description: Title: Free Resolutions of Monomial Ideals.

Speaker: Prof. Madhusudan Manjunath

Abstract: We'll study free resolutions of monomial ideals via the notion
of a labelled simplicial complex. We derive a criterion due to Bayer,
Peeva and Sturmels for a labelled simplicial complex to define a free
resolution.
As consequences, we show that the Koszul complex is exact and prove the
Hilbert syzygy theorem.
Location: Ramanujan Hall, Department of Mathematics
Date: Monday, September 25, 2017
Time: 11:30am IST
Access: Public