- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Time: Friday, 2nd Nov, 11:30 a.m. - 1:00 p.m.

Venue: Room 215, Maths Building.

Title: Complete modules and base conditions of linear system - II

Speaker: R.V.Gurjar

Abstract: We will discuss Zariski's theory of complete modules and their

relation to base points of linear systems.

- Time:
- 3:30pm - 5:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra seminars

Date: Monday 5 Nov

Venue: Room 215

Time: 3.30-5.00

Speaker: Clare D'Cruz

Chennai Mathematical Institute

Title: Symbolic powers of certain monomial curves

Abstract: The generators of symbolic powers of an ideal, in general, are

hard to determine. A natural question is the relation between symbolic

powers and ordinary powers. In this context, Bocci and Harbourne gave an

asymptotic quantity called resurgence. Though this is hard to determine, in

some cases it is known. In this talk, we focus on certain monomial curves.

We discuss the regularity for symbolic powers and the resurgence.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Date: Thursday 8 November

Venue: Room 215

Time: 2.00-3.30

Speaker: Dale Cutcosky, University of Missouri at Columbia, MO

Title: Multiplicities and volumes-I

Abstract: We show how multiplicities of (not necessarily Noetherian)

filtrations on a Noetherian ring can be computed from volumes of

appropriate Newton Okounkov bodies. We discuss applications and examples.

- Time:
- 4:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- PDE seminar on Control and homogenization:

Title: Control of wave equation.

Speaker: Debanjana Mitra,

Time: Thursday, 08-11-18, 4p.m.-5p.m.

Venue: Room 215, Department of Mathematics, IIT Bombay.

Abstract: In this talk, we will continue the discussion on the control of

wave equation from where we stopped at the previous lecture.

The observability inequality for wave equation will be proved by

multiplier method.

- Time:
- 11:30am - 1:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Date: Friday, 9 November

Venue: Room 215

Time: 11.30-1.00

Speaker: Dale Cutcosky, University of Missouri at Columbia, MO

Title: Multiplicities and volumes-II

Abstract: We show how multiplicities of (not necessarily Noetherian)

filtrations on a Noetherian ring can be computed from volumes of

appropriate Newton Okounkov bodies. We discuss applications and examples.

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Date and time : 9th November 2018, 4.00 - 5.00 pm,

Venue: Ramanujan Hall

Title: Concentration Bounds for Stochastic Approximation with Applications

to Reinforcement Learning

Speaker: Gugan Thoppe

Affiliation: Duke University, Durham, USA

Abstract: Stochastic Approximation (SA) refers to iterative algorithms that

can be used to find optimal points or zeros of a function, given only its

noisy estimates. In this talk, I will review our recent advances in

techniques for analysing SA methods. This talk has four major parts. In the

first part, we will see a motivating application of SA to network

tomography and, alongside, discuss the convergence of a novel stochastic

Kaczmarz method. In the second part, we shall see a novel analysis approach

for non-linear SA methods in the neighbourhood of an isolated solution. The

main tools here include the Alekseev formula, which helps exactly compare

the solutions of a non-linear ODE to that of its perturbation, and a novel

concentration inequality for a sum of martingale differences. In the third

part, we will extend the previous tool to the two timescale but linear SA

setting. Here, I will also present our ongoing work to obtain tight

convergence rates in this setup. In parallel, we will also see how these

results can be applied to gradient Temporal Difference (TD) methods such as

GTD(0), GTD2, and TDC that are used in reinforcement learning. For the

analyses in the second and third parts to hold, the initial step size must

be chosen sufficiently small, depending on unknown problem-dependent

parameters; or, alternatively, one must use projections. In the fourth

part, we shall discuss a trick to obviate this in context of the one

timescale, linear TD(0) method. We strongly believe that this trick is

generalizable. We also provide here a novel expectation bound. We shall end

with some future directions.

- Time:
- 4:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Geometry and Topology seminar

9th November, 4:00 PM

Room 215

Title. Shafarevich question on the universal covering of a smooth

projective variety, and it's applications.

Speaker. R.V. Gurjar

Abstract. I. Shafarevich has raised the following very general question.

'Is the universal covering space of every smooth connected projective

variety holomorphically convex ?'

This is a generalization of the famous Uniformization Theorem for Riemann

Surfaces. We will discuss some applications of a positive solution of the

Sharafevich question, viz. A conjecture of Madhav Nori is true, and the

second homotopy group of a connected smooth projective surface is a free

abelian group.

We will also mention positive solutions for the Shafarevich question in

several interesting cases.

- Time:
- 3:30pm - 5:00pm
- Location:
- Room. 215
- Description:
- Commutative algebra seminars

Speaker: Hema Srinivasan

Affiliation: University of Missouri, Columbia, MO, USA

Date: 12 Nov. Monday 3.30-5.00, 15 Nov. Thursday 2.00-3.30

Venue: Room 215

Title: Mixed Multiplicities I and II

Abstract: Given a Noetherian Local Ring, with a maximal ideal $m$,

we will present the definition and existence of Mixed Multiplicities of

filtrations of $m-$ primary ideals. We will show that this mixed

multiplicity for general filtrations satisfies the standard theorems and

inequalities for mixed multiplicities for $m-$ primary ideals including the

Minkowski inequalities.

(This is joint work with Dale Cutkosky and Parangama Sarkar )

- Time:
- 5:00pm
- Location:
- Room. 215
- Description:
- Speaker: Cutkosky, Steven D.

Time & Date: 5pm Tuesday, November 13.

Venue: Room 215

Title: Poincare' series of divisors on surface singularities.

Abstract: We associate a Hilbert function to the exceptional components of a resolution of singularities of a surface singularity, and study its structure. We consider the question of when its associated Poincare' series is rational.

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium

Speaker: Steven Dale Cutkosky, University of Mossouri

Date: Wednesday 14 November 2019

Time: 2.30-3.30

Venue: Ramanujan Hall

Title: Local Uniformization, Defect and Associated Graded Rings

Abstract: We discuss the problem of local uniformization (resolution of singularities along a valuation). We define the defect of an extension of valued fields and show that it is the only obstruction to local uniformization in positive characteristic. We explain how defect can be seen through lack of finite generation of associated graded rings along the valuation.

- Time:
- 2:00pm - 3:00pm
- Location:
- Room. 215
- Description:
- Commutative algebra seminars

Speaker: Hema Srinivasan

Affiliation: University of Missouri, Columbia, MO, USA

Date: 12 Nov. Monday 3.30-5.00, 15 Nov. Thursday 2.00-3.30

Venue: Room 215

Title: Mixed Multiplicities I and II

Abstract: Given a Noetherian Local Ring, with a maximal ideal $m$,

we will present the definition and existence of Mixed Multiplicities of

filtrations of $m-$ primary ideals. We will show that this mixed

multiplicity for general filtrations satisfies the standard theorems and

inequalities for mixed multiplicities for $m-$ primary ideals including the

Minkowski inequalities.

(This is joint work with Dale Cutkosky and Parangama Sarkar )

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Title: Control of wave equation.

Speaker: Debanjana Mitra,

Time: Friday, 16-11-18, 4p.m.-5p.m.

Venue: Ramanujan Hall, Department of Mathematics, IIT Bombay.

Abstract: In this talk, we will prove the observability inequality for

wave equation in the case of localized interior control.

Then the control of wave equation with variable coefficients will be

discussed.

- Time:
- 3:30pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Commutative Algebra Seminar

Time: 19 Nov, Monday 3.30 pm

Venue: Room 215

Speaker: J. K. Verma

Title: Mixed multiplicities and the number of generators of ideals

Abstract: Using Minkowski inequality for mixed multiplicities of

ideals we derive an upper bound on the number of generators of

m-primary ideals in Cohen-Macaulay local rings. This upper bound

implies results of S.S. Abhyankar, E. Becker-D. Eisenbud-D. Rees,

I.S. Cohen, D. Rees and J. D. Sally.

- Time:
- 11:00am - 12:15pm
- Location:
- Room No 216 Department of Mathematics
- Description:
- PDE seminar on Control and homogenization:

Title: Control of wave equation.

Time: Thursday, 22-11-18, 11am-12:15pm.

Venue: Room 216

Speaker: Debanjana Mitra.

Abstract: In this talk, we will discuss the controllability of wave

equation with variable coefficients. The main objectives are to understand

the proof of the observability inequality and how the constants in the

inequality depend on the coefficients of the wave equation.

- Time:
- 11:30am - 12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Commutative algebra seminar

Time: 22 Nov, Thursday, 11am-12noon.

Venue: Ramanujan Hall.

Speaker : Tony J. Puthenpurakal.

Title: On p_g ideals.

Abstract: Let $(A,\m)$ be an excellent normal domain of dimension two.

We define an $\m$-primary ideal $I$ to be a $p_g$-ideal if the Rees algebra

$A[It]$ is a \CM \ normal domain. When $A$ contains an algebraically

closed field $k \cong A/\m$ then Okuma, Watanabe and Yoshida proved that

$A$ has

$p_g$-ideals and furthermore product of two $p_g$-ideals is a $p_g$ ideal.

In this talk we show that if $A$ is an excellent normal domain of

dimension two containing a field $k \cong A/\m$ of characteristic zero

then also $A$ as $p_g$-ideals. Furthermore product of two $p_g$-ideals is

$p_g$.

- Time:
- 3:00pm - 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Analysis Seminar.

Time:Friday, 22 November, 3-4 pm.

Venue: Ramanujan Hall.

Speaker: Soumalya Joardar.

Title: Quantum Symmetry and graph C*-algebra.

Abstract: is attached.

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium

Time: 4.00-5.00 pm, Wednesday, 21 November , 2018.

Venue: Ramanujan Hall

Speaker: Hema Srinivasan

Affiliation: University of Missouri, Columbia, MO, USA

Title: Resolutions of Semigroup Rings

Abstract: We consider the semigroup rings $S = k[t^{a_i}| 1\le i\le n]

\subset k[t]$ of embedding dimension $n$ over a field $k$. We write $S =

k[x_1, \ldots, x_n]/I_{a_1, \ldots, a_n}$ and explicitly construct the

minimal free resolutions of $S$ over $k[x_1, \ldots, x_n]$ when ${a_1,

\ldots, a_n}$ are special and derive formulae for the invariants such as

Betti Numbers, Cohen-Macaulay type, Frobenius numbers, Hilbert Series and

Regularity.

- Time:
- 5:30pm - 6:15pm
- Location:
- Room No 105 Department of Mathematical
- Description:
- CACAAG seminar.

Time: Thursday, 22 November, 5:30-6:15.

Venue: Room 105.

Speaker: Madhusudan Manjunath.

Title: Combinatorial Brill-Noether Theory, Stanley Theory,

Castelnuovo-Mumford Regularity.

Abstract: We discuss ongoing work where we relate Brill-Noether theory on

a finite graph to homological invariants of certain modules associated to

it. Our approach resembles Stanley's commutative algebraic approach to

enumeration of magic squares.

- Time:
- 11:00am - 11:45am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Prof. Sourav Pal

Title : Operator theory on the tetrablock

Date and Time : November, 11.00 am - 11.45 am

- Time:
- 11:45am - 12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Prof. Santanu Dey

Title : Maps between Hilbert C* modules

Date and Time : 26th November, 11.45 am - 12.30 pm.

- Time:
- 3:00pm
- Location:
- Room No. 216 Department of Mathematics
- Description:
- Date: 26 November

Time : 3 PM

Venue: Room 216

Title: Significance of Designs for Factorial Experiments and Web Resources in Agricultural Research

(Abstract currently not available)

Speaker: Dr. Rajender Parsad, FNAAS, FISAS

Principal Scientist (Agricultural Statistics)

ICAR-IASRI, Library Avenue, Pusa, New Delhi - 110 012, India

- Time:
- 12:00pm - 1:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Statistics Seminar

Date: 27/11/18

Time 12 noon-1 pm

Venue: Ramanujan Hall

Speaker: Professor Sat Gupta - Department of Mathematics and Statistics, UNC Greensboro

Title: Evaluating Performance of Mean Estimators of Sensitive Variables under Measurement Errors with Respect to Efficiency and Respondent Privacy

Abstract: In this study, our primary focus is on examining if using optional RRT models as opposed to non-optional RRT models for mean estimation of a sensitive variable when measurement errors are present, produces more efficient estimators. A unified measure of model efficiency and respondent privacy will be used in this comparison. The models discussed have data security implications as well.

- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Dr. Hina Gokhale, Former DG(HR), DRDO, New Delhi & VC, DIAT, Pune

Date & Time: 29th November, 11am

Venue: Ramanujan Hall

Title & Abstract: attached