Date and Time: Wednesday 04 September, 2:00 pm - 3:30 pm.
Venue: Room 215, Department of Mathematics.
Title: Shephard-Todd Theorem.
Abstract: We will present Chevalley's proof of this important result. As
applications, we will state several results from the paper of L. Avramov.
Proofs of some of these will be indicated.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Mathematics Colloquium I.
Speaker: Tanmay Deshpande.
Affiliation: TIFR Mumbai.
Date and Time: Wednesday 04 September, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: The Springer Correspondence and Character Sheaves.
Abstract: Using the Jordan normal form, the conjugacy classes of nilpotent
n x n matrices can be parametrized by partitions of n. On the other hand,
partitions of n also parametrize irreducible representations of the
permutation group S_n. In this talk, I will describe the Springer
correspondence which provides a deeper geometric understanding of the
above coincidence. Towards the end, I will sketch the ideas involved in
the proof of the Springer correspondence and their relationship with the
theory of character sheaves on reductive groups.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Mathematics Colloquium
Speaker: Rudra P Sarkar.
Affiliation: ISI Kolkata.
Date and Time: Thursday 05 September, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Asymptotic mean value property, a theorem of Plancherel and Polya.
Abstract: In rank one Riemannian symmetric spaces of noncompact type, we
shall characterize the eigenfunctions of the Laplace--Beltrami operator
with arbitrary eigenvalues through an asymptotic version of the ball mean
value property. This is joint work with Muna Naik and Swagato K Ray.
Time:
4:30pm-5:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
CACAAG seminar.
Speaker: Maria Mathew.
Affiliation: IIT Bombay.
Date and Time: Friday 06 September, 4:30 pm - 5:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Gubeladze's geometric proof of Anderson's conjecture.
Abstract: Let M be a finitely generated seminormal submonoid of the free
monoid \mathbb Z_+^n and let k be a field. Then Anderson conjectured that
all finitely generated projective modules over the monoid algebra k[M] is
free. He proved this in case n=2. Gubeladze proved this for all n using
the geometry of polytopes. In a series of 3 lectures, we will outline a
proof of this theorem.