March 2019
Public Access Category: All |

- Time:
- 2:30pm - 3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra Seminars (please note that there are TWO lectures).

Speaker: Prof. Dilip P Patil.

Affiliation: IISc, Bengaluru.

Title: Hilbert-Samuel functions.

Abstract: See attached document.

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Lecture 1:

Date and Time: Friday 01 March, 2:30 pm - 3:30 pm.

Venue: Room 215, Department of Mathematics.

- Time:
- 3:45pm - 5:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Algebraic K-Theory Seminar.

Speaker: Manoj Keshari.

Date and Time: Friday 1 March, 3.45pm - 5.15pm.

Venue: Ramanujan Hall.

Title: K_0 of a ring.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra Seminars (please note that there are TWO lectures).

Speaker: Prof. Dilip P Patil.

Affiliation: IISc, Bengaluru.

Title: Hilbert-Samuel functions.

Abstract: See attached document.

Date and Time: Monday 04 March, 2:00 pm - 3:30 pm.

Venue: Room 215, Department of Mathematics.

- Time:
- 11:35am
- Location:
- Room 216, Department of Mathematics
- Description:

Analysis Seminar.

Speaker: Prof. S. Thangavelu

Affiliation: IISc, Bengaluru.

Date and Time: Tuesday 05 March, 11:35 am - 12:30 pm.

Venue: Room 216, Department of Mathematics.

Title: Lacunary Spherical maximal function on the Heisenberg group.

Abstract: We investigate the $L^p$ boundedness of the lacunary maximal

function $A_rf$ associated to the spherical means on the Heisenberg group.

By suitable adaptation of an approach of M. Lacey in the Euclidean case,

we obtain sparse bounds for these maximal functions, which lead to new

unweighted and weighted estimates. In order to prove the result, several

properties of the spherical means have to be accomplished, namely, the

$L^p$ improving property of the operator $A_rf$ and a continuity property

of the difference $A_rf-\tau_y A_rf$, where $\tau_yf(x)=f(xy^{-1})$ is the

right translation operator. This is a joint work with Hait, Bagchi and

Roncal.

- Time:
- 4:00pm - 5:00pm
- Location:
- Room No. 216 Department of Mathematics
- Description:
- Partial Differential Equations Seminar.

Speaker: Pratibhamoy Das

Affiliation: IIT Patna

Date and Time: Wednesday 13 March, 4.00 pm - 5.00 pm

Venue: Room 216, Department of Mathematics.

Title: A Priori and A Posteriori Based Parameter Uniform Convergence

Analysis for Solutions of Singularly Perturbed Differential Equations.

Abstract: Singular perturbation and the boundary layer phenomena appear

very often in several applications today. Presence of a small parameter in

the differential equation changes the behavior of the solution rapidly.

Uniform meshes are inadequate for the convergence of numerical solution.

The aim of the present talk is to consider the adaptive mesh generation

for these problems based on moving mesh strategy.

I shall start this talk with a small introduction on singular

perturbation. The analytical and computational difficulties in the existed

methods will be discussed. The concept of moving mesh strategy and its

implementation will be explained. A nonlinear system of differential

equations with delay will be considered to show the difference between a

priori and a posteriori generated meshes after discussing my researches on

this field. The parameter uniform a posteriori based error estimate for a

system of reaction-diffusion problems and a priori based convergence

analysis for a parabolic convection-diffusion problem will be presented

with computational evidence.

- Time:
- 5:15pm - 6:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG Seminar.

Speaker: R. Balasubramanian

Date and Time: Monday 18 March, 5.15 pm - 6.30 pm

Venue: Ramanujan Hall, Department of Mathematics.

Title: Zeta Functions Associated to Graphs.

Abstract: This series of talks will cover various notions of zeta

functions associated to graphs.

- Time:
- 3:30pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker 1: Dilip Patil.

Affiliation: IISc, Bangalore.

Date and Time: Tuesday 26 March, 3:30 pm - 5:00 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: On Lech's conjecture.

Abstract: See attached document.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Dilip Patil.

Affiliation: IISc, Bangalore.

Date and Time: Wednesday 27 March, 2:00 pm - 3:30 pm.

Venue: Room 215, Department of Mathematics.

Title: On Lech's conjecture.

Abstract: See attached document.

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

Speaker: Haripada Sau.

Affiliation: Virginia Tech, USA.

Date and Time: Wednesday 27 March, 3.00 pm - 4.00 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: Dilation Theory on the Bidisk Revisited.

Abstract: In this talk, we shall briefly recall the dilation theory on the

unit disk and the bidisk developed by Sz.-Nagy -- Foias in 1950s and by

Ando in 1963, respectively. We shall give two new proofs of Ando's

dilation theorem and discuss a couple of classification results.

- Time:
- 4:30pm - 5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Popular Talk.

Speaker: Reebhu Bhattacharyya.

Date and Time: Wednesday 27 March, 4:30 pm - 5.30 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: Geometric Proof of the Fundamental Theorem of Algebra.

Abstract: We aim to provide a proof of the fundamental theorem of algebra

based on winding numbers of curves. If time permits, we will discuss a

second proof using the notion of degree of a smooth map between compact

manifolds.

- Time:
- 3:30pm - 5:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Shreedevi Masuti.

Affiliation: CMI, Chennai.

Date and Time: Thursday 28 March, 3:30 pm - 5:00 pm.

Venue: Room 215, Department of Mathematics.

Title: Sally modules and its applications.

Abstract: The Sally module was introduced by W. Vasconcelos in 1994. This

module is a mediator that relates the homological properties of the

blow-up algebras to the Hilbert coefficients. In this series of talks we

will discuss basic properties of the Sally module. We will derive some

well-known results on the Hilbert coefficients using this approach.

- Time:
- 5:15pm - 6:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG Seminar.

Speaker: Madhusudan Manjunath.

Date and Time: Thursday 28 March, 5:15 pm - 6:30 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: Lorenzini Zeta Function of a Graph.

Abstract: We will see a two variable zeta function associated with a graph

due to Dino Lorenzini. I will mainly spend time discussing divisor theory

on graphs that arises in the definition of this zeta function.

- Time:
- 3:30pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker 4: Shreedevi Masuti.

Affiliation: CMI, Chennai.

Date and Time: Friday 29 March, 3:30 pm - 5:00 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: Sally modules and its applications-II.

Abstract: The Sally module was introduced by W. Vasconcelos in 1994. This

module is a mediator that relates the homological properties of the

blow-up algebras to the Hilbert coefficients. In this series of talks we

will discuss basic properties of the Sally module. We will derive some

well-known results on the Hilbert coefficients using this approach.