Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Hilbert polynomials of modules

Roger Dellaca
Wednesday, October 24, 2012
4:00 pm - 4:50 pm
RH 440R

Talk Abstract:

The Hilbert polynomial of an homogeneous ideal I gives a lot of information about the ideal. This talk will describe the Hilbert function and the Hilbert polynomial, describe their significance, and give some classical theorems by Macaulay and Gotzmann. We will show how some of these results have been extended to the case of finitely presented graded modules, and how some of these results fail as given for ideals. Lastly, we will describe work in progress to generalize some results.

About the Speaker:

Roger has an M.S. in Information Systems from Cal State Fullerton and an M.S. in Math from Cal State Long Beach. He is an avid chess player.

Refreshments:

Pizza will be served after the talk.