We will explain what it means to integrate a top form on a manifold. We will then state the second version of Stokes Theorem. After that, we will give the statement of Poincare Duality for smooth manifolds.

+91-674-249-4082

Date/Time: Wednesday, February 15, 2017 - 19:00 to 20:00

Venue: Seminar Hall, Mathematics Department

Speaker: Ritwik Mukherjee, NISER

Title: Poincare Duality

We will explain what it means to integrate a top form on a manifold. We will then state the second version of Stokes Theorem. After that, we will give the statement of Poincare Duality for smooth manifolds.

Date/Time: Monday, February 13, 2017 - 19:00 to 20:00

Venue: Mathematics Department Seminar Hall

Speaker: Ritwik Mukherjee, NISER

Title: Integration on Manifolds

We will explain what it means to integrate differential forms on a manifold and state Stokes Theorem. We will see how it generalizes the fundamental theorem of calculus and Green's theorem.

Date/Time: Monday, February 13, 2017 - 11:30 to 12:30

Venue: Seminar Room, School of Mathematical Sciences

Speaker: Dr. Prosejit Roy, TIFR-CAM, Bangalore

Title: Extremal function for the singular Moser-Trudinger inequality

Date/Time: Friday, February 10, 2017 - 09:35 to 10:15

Venue: Mathematics Seminar Room

Speaker: Amit kumar, Research scholar, SMS, NISER

Title: Operator ideals

The concept of Operator Ideals will be explained through examples and several properties. These objects first occurred in the famous work ``The Memoirs'' of A. Grothendieck published in 1955. Since then, it has taken form of a vast theory of Operator Ideals.

Date/Time: Wednesday, February 8, 2017 - 19:00 to 20:00

Venue: Mathematics Department Seminar Hall

Speaker: Ritwik Mukherjee, NISER

Title: Introduction to Smooth Manifolds

We will explain what is a differential k-form and define the De Rham Cohomology of a smooth manifold.

Date/Time: Tuesday, February 7, 2017 - 13:30 to 14:30

Venue: Mathematics Department Seminar Hall

Speaker: Ronnie Sebastian, IIT Bombay

Title: The Langlands Conjectures

The aim of this talk is to describe some conjectures which are part of the Langlands program.The talk is aimed at non-experts and should be accessible to a broad audience.

Date/Time: Monday, February 6, 2017 - 15:30 to 16:30

Venue: Seminar Room, Mathematics Department

Speaker: Deepika Kumari, Guru Gobind Singh Indraprastha University, Delhi

Title: Introduction to the Chen's biharmonic conjecture

In my presentation, I will give some brief introduction to biharmonic submanifold. Also, I will introduce the Chen's conjecture of biharmonic submanifold and present some recent developments of conjecture.

Date/Time: Thursday, February 2, 2017 - 18:30 to 20:00

Venue: Mathematics Department Seminar Hall

Speaker: Ritwik Mukherjee, NISER

Title: Introduction to Smooth Manifolds

We will continue with the discussion on (co)tangent bundle of a manifold. We will define the differential of a smooth map and state the implicit function theorem. We will also work out some concrete examples.

Date/Time: Wednesday, February 1, 2017 - 18:30

Venue: Seminar Room, Mathematics Department

Speaker: Ritwik Mukherjee, NISER

Title: Introduction to Smooth Manifolds

We will continue with the discussion on (co)tangent space and smooth maps. We will define what is the differential of a smooth map and state the implicit function theorem. We will also work out some concrete examples.

Date/Time: Tuesday, January 24, 2017 - 18:30 to 20:00

Venue: Seminar Hall, Mathematics Department

Speaker: Ritwik Mukherjee, NISER

Title: Introduction to Smooth Manifolds

We will give more examples of differentiable manifolds and define what it means to be a smooth function between two manifolds. If time permits, we may define what is the (co)tangent space of a manifold at a given point.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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