Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
|
Speaker |
: |
Dr. Manoj Kummini |
| Affiliation | : | University of Kansas |
|
Subject Area |
: |
Mathematics
|
|
Venue |
: |
Lecture Hall - I, Dept of Mathematics
|
|
Time |
: |
4.00 pm
|
|
Date |
: |
June 28,2007 (Thursday) |
|
Title |
: |
Multiplicity Conjecures |
| Abstract | : | We discuss a conjecture for the Hilbert-Samuel multiplicity (degree) of a homogeneous ideal in a polynomial ring over a field.Herzog-Huneke-Srinivasan conjectured that the multiplicity can be bounded by a function of the maximum twists occuring at different homological degrees in a minimal graded free resolution of the ideal. We will discuss some examples and some cases where the conjecture is known to hold. |