Mathematics Colloquium
Date: Friday, 8 Dec. 4 pm
Venue: Ramanujan Hall
Speaker: M. Ram Murty
Affiliation: Queens University, Canada

Mathematics Colloquium
Wednesday, 13 December, 4 pm
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Host: J. K. Verma
Venue: Ramanujan Hall

Speaker: N. V. Trung
Affiliation: Institute of Mathematics, Hanoi

Title: Depth Functions of homogeneous ideals: A survey
Abstract: Depth is an important invariant of an ideal in a local ring. Over a polynomial ring, it is strongly related to the minimal free resolution, which describes the relations between the elements of the ideal. For many reasons, we want to know the behavior of the function of the depth of ordinary or symbolic powers of a homogeneous ideal. It was conjectured that these functions may behave wildly. These conjectures have been solved recently. This talk will give a survey on this topic.