In Quantum Information Theory, quantum states and quantum channels are central objects of study. Mathematically, a quantum state is a positive semidefinite matrix of unit trace, and a quantum channel is...

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Date/Time: Thursday, February 25, 2021 - 11:00 to 12:00

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Satish Pandey, Technion - Israel Institute of Technology

Title: Entanglement breaking rank and quantum majorization

In Quantum Information Theory, quantum states and quantum channels are central objects of study. Mathematically, a quantum state is a positive semidefinite matrix of unit trace, and a quantum channel is...

Date/Time: Friday, January 29, 2021 - 15:30

Venue: Online

Speaker: Devashish Sonowal, SMS, NISER

Title: Taylor's theorem from the viewpoint of heat equation

Abstract: Employing solution of heat equation, we prove Taylor's theorem with Peano form of the remainder. In addition, we derive the Taylor series of an infinitely differentiable function under the additional assumption that the n'th derivative does not grow faster than the n'th power of some...

Date/Time: Friday, January 29, 2021 - 15:30

Venue: Online

Speaker: Devashish Sonowal, SMS, NISER

Title: Taylor's theorem from the viewpoint of heat equation

Date/Time: Friday, January 29, 2021 - 15:30

Venue: Online

Speaker: Devashish Sonowal, SMS, NISER

Title: Taylor's theorem from the viewpoint of heat equation

Date/Time: Friday, January 29, 2021 - 15:30

Venue: Online

Speaker: Devashish Sonowal, SMS, NISER

Title: Taylor's theorem from the viewpoint of heat equation

Date/Time: Monday, December 14, 2020 (All day) to Thursday, December 24, 2020 (All day)

Venue: Online

Title: Advanced Functional Analysis and its Applications 2020

Date/Time: Thursday, December 10, 2020 - 14:30 to 15:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Mr. A S Abdul Shabeer, SMS, NISER

Title: Plücker Formula

*Abstract:* Plücker Formula gives the genus of a smooth projective plane curve in terms of its degree, specifically, a curve of degree d has genus (d-1)(d-2)/2. We will first prove Bezout's theorem and as an application look at...

Date/Time: Wednesday, December 2, 2020 - 14:30 to 15:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Mr. Archisman Bhattacharjee, SMS, NISER

Title: A proof of Horrocks' Theorem

* Abstract:* Horrocks' Theorem is an indispensable tool to prove Quillen-Suslin Theorem, which gives a sufficient condition for finitely generated projective modules to be free. In this talk, we will talk about a...

Date/Time: Monday, November 16, 2020 - 10:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Ritwik Pal, IISc Bangalore

Title: On the magnitude and signs of Hecke eigenvalues of modular forms.

This talk broadly has two parts. The first one is about the signs of Hecke ...

Date/Time: Thursday, November 12, 2020 - 14:30 to 15:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Mr. A S Abdul Shabeer, SMS, NISER

Title: Hurwitz's Formula for Compact Riemann Surfaces

* Abstract:* Given a holomorphic map between compact Riemann surfaces, Hurwitz's formula relates the genera of the domain and range with the degree and ramification of the map. We will see a...

**School of Mathematical Sciences**

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