webcal
Login 

Madhusudan Manjunath

Description: Speaker: Madhusudan Manjunath

Title: Free Resolutions of Monomial Ideals II

Abstract: We will study free resolutions of monomial ideals via the
concept of labelled simplicial complexes due to Bayer, Peeva and
Sturmfels. We will derive a criterion for a labelled complex to define a
free resolution. As applications, we will obtain the exactness of the
Koszul complex and the Hilbert syzygy theorem. If time permits, we will
obtain a formula for Betti numbers of a monomial ideal in terms of a
corresponding labelled simplicial complex.
Location: Ramanujan Hall, Department of Mathematics
Date: Monday, October 9, 2017
Time: 11:30am-1:00pm IST
Duration: 1 hour 30 minutes
Access: Public