**Date & Time:** Tuesday, January 19, 2016, 15:30-17:00.

**Venue:** Room No. 216

**Title:** Generic Initial Ideals

**Speaker: ** Ananthnarayan Hariharan, IIT Bombay

**Abstract:** A theorem of Bayer and Stillman asserts that if I is an ideal in
a polynomial ring S over a field (in finitely many variables), then the
projective dimension and regularlity of S/I are equal to those of
S/Gin(I), where Gin(I) is the generic initial ideal of I in the reverse
lexicographic order. In this series of talks, we will discuss the
necessary background material, and prove the above theorem.