October 3, 2016 - October 7, 2016
Public Access Category: All |
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- Time:
- 11:00am-12:30pm
- Location:
- Room 216, Maths Building
- Description:
- Commutative algebra seminar
Title: Depth of higher associated graded modules
Abstract: Let (A,m) be a Noetherian local ring with depth(A) > 1, I an
m-primary ideal, M a finitely generated A-module of dimension r, and G_n,
the associated graded module of M with respect to I^n. We will discuss a
necessary and sufficient condition for depth (G_n) > 1 for all
sufficiently large. This talk is based on a paper by Tony Joseph
Puthenpurakal (Ratliff-Rush filtration, regularity and depth of higher
associated graded modules: Part I )
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: Parabolic bundles in positive characteristic.
Abstract: In this talk algebraic parabolic bundles on smooth projective
curves over algebraically closed field of positive characteristic is
defined. We will show that the category of algebraic parabolic bundles is
equivalent to the category of orbifold bundles defined in. Tensor, dual,
pullback and pushforward operations are also defined for parabolic
bundles.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall
- Description:
- Mathematics Colloquium
Title: Brauer-Thrall Conjectures and Commutative Algebra
Abstract: Brauer-Thrall conjectures for representation theory of Artin algebra's
was proved many years ago (in 1968). However the techniques invented by Auslander to prove this conjecture has found more applications than just proving
the original conjectures. These techniques have been extended in commutative algebra to study Maximal Cohen-Macaulay modules over Cohen-Macaulay isolated singularities. I will also discuss a result of mine in this direction.
Poster: http://www.math.iitb.ac.in/~seminar/colloquium/colloq-05-oct-16.pdf