Past Events

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.