Description
Mathematics Colloquium
Time: 4.00-5.00 pm, Wednesday, 21 November , 2018.
Venue: Ramanujan Hall
Speaker: Hema Srinivasan
Affiliation: University of Missouri, Columbia, MO, USA
Title: Resolutions of Semigroup Rings
Abstract: We consider the semigroup rings $S = k[t^{a_i}| 1\le i\le n]
\subset k[t]$ of embedding dimension $n$ over a field $k$. We write $S =
k[x_1, \ldots, x_n]/I_{a_1, \ldots, a_n}$ and explicitly construct the
minimal free resolutions of $S$ over $k[x_1, \ldots, x_n]$ when ${a_1,
\ldots, a_n}$ are special and derive formulae for the invariants such as
Betti Numbers, Cohen-Macaulay type, Frobenius numbers, Hilbert Series and
Regularity.