1. Number theory seminar

Time, Day, Date: 21st October, Monday  11:30 am

Venue : Room 215

Speaker: Aratrika Pandey

Title :  Tate's thesis learning seminar

Abstract : We will finish calculating certain local zeta integrals by
carefully choosing test functions in the unramified vs ramified cases.
This finishes section 2.3 of Goldfeld and Hundley's book. If time allows,
we will start the discussion of section 2.4.
 

2. Algebraic groups seminar

Time, Day, Date: 22nd October, Tuesday, 4:00 pm

Venue: Ramanujan Hall

Speaker: Shripad Garge

Title: Structure constants

Abstract : We are progressing towards understanding the structure of
reductive groups. Understanding the structure constants in the Chevalley
commutator formula is a step in that direction.

Colloquium 1:

Time, Day, Date: 23rd October, Wednesday 4:00 pm

Venue ; Ramanujan Hall

Speaker: S.K. Roushon

Title :  On the affine Artin group of type \tilde B_n

Abstract : We give a positive answer to a question of Bestvina by showing
that the group in the title is virtually poly-free. Our method also gives
another solution to the K(\pi, 1) problem in this case. This is a joint
work with Li Li.

Colloquium 2:

Time, Day, Date: 24rd October, Thursday 4:00 pm

Venue ; Ramanujan Hall

Speaker: S. Ramanan

Title : Hyperelliptic curves and Geometry of quadrics

Abstract : There is a deep relationship between hyper-elliptic curves of
genus $g$ and quadric geometry in a projective space of dimension $2g +1$.
When $g = 2$,  this was investigated by Klein in the 19th century.
Narasimhan and I related this to the moduli of vector bundles. Usha and I
generalised the results to arbitrary genus. Recently I modified and
formulated the proofs in such a way that it would work over a number
field. This was used by Parimala Raman and Jaya Iyer to get
number-theoretic consequences. I propose to give a summary of my methods
which yield some additional consequences as well.
 

4. Commutative Algebra Seminar

Time, Day and Date : 24th October, Thursday, 4:00 pm

Venue : Room 215

Speaker : Samarendra Sahoo

Title : Primes associated to multigraded rings.

Abstract :  Let A be a Noetherian ring, I be an ideal, and M be a finitely
generated A-module. Brodmann(1979) proved that the set Ass(I^nM/I^{n+1}M)
and Ass(M/I^nM) are stable for large n. McAdam and Eakin(1979) proved that
if R is a standard graded Noetherian ring with R_0=A and M is a finitely
generated graded R-module then the set Ass_A(M_n) is stable for all large
n. In this series of talks, we will discuss a multigraded version of the
above result and its applications.
 

5. Analysis Seminar (Ricci flows)

Time, Day and Date: 24th October, Thursday, 5:30 pm

Venue : Ramanujan Hall

Speaker: Pradip Kumar Maity

Title : 2nd expository talk on Ricci flows

Abstract : We will continue with Ricci solitons. Then we shall move to
variation formulas. Next we will discuss briefly short time existence of
Ricci flow. After that  we will move to Maximum principal and its
consequences.
 

3. Complex Algebraic Surfaces

Time, Day and Date: 25th October, Friday, 2.00pm to  3:30 pm

Venue : Room 215

Speaker : Ronnie Sabastian

Abstract : We will prove Castelnuovo's Theorem, which says that if q=0 and
P_2=0 then the surface is rational.
 

6. Algebraic Groups seminar

Time, Day and Date : 25th October, Friday 4:00 pm

Venue : Room 215

Speaker :  Dibyendu Biswas

Title : Nilpotent Conjugacy Classes

Abstract : We continue the analysis of nilpotent conjugacy classes from
the book of Collingwood and McGovern.