Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Unimodality of Hilbert Functions of Graded Artin Algebras

Speaker : Prof. Hema Srinivasan (Department of Mathematics, University of Missouri, USA)

25-10-2018

Abstract :

Let R = k[x1; : : : ; xn] be a polynomial ring over a eld k and I be a homogeneous ideal of height n so that A = R=I = Ls t=0 At has dimension zero. Then h(t) = dimkAt is called the Hilbert Function of the Graded Artin Algebra A. We will discuss some results and questions concerning when this Hilbert fucntion is unimodal. Most of the known cases depend on the fact that the embedding dimension, n is small or the socle degree s is small enough or that I is extra special with a lot of structure.

Key Speaker Prof. Hema Srinivasan (Department of Mathematics, University of Missouri, USA)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None