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Date/Time: Friday, July 14, 2017 - 11:30 to 12:30

Venue: SMS Seminal Hall

Speaker: Arvind Kumar, HRI, Allahabad

Title: Rankin-Cohen brackets and identities among eigenforms

Abstract :- Identities connecting modular forms (in particular, eigenforms) have attracted the attention of many mathematicians since they imply nice identities among their Fourier coefficients. It is quite natural to ask whether the property of being a Hecke eigenform is...

Date/Time: Monday, July 10, 2017 (All day) to Saturday, July 22, 2017 (All day)

Venue: NISER

This will be an introductory summer school on "J-Holomrphic Curves and Gromov-Witten Invariants".We hope to cover the foundations of this subject by following the book "J-Holomorphic Curves and Symplectic Topology" by Dusa McDuff and Dietmar Salamon. Quite a few young mathematicians from India...

Date/Time: Saturday, June 24, 2017 - 15:30 to 16:30

Venue: Seminar Room, School of Mathematical Sciences

Speaker: Dr. Soumyashant Nayak, University of Pennsylvania

Title: The Many Forms of the Pythagorean Theorem

The well-known Pythagorean theorem which relates the lengths of sides of a right triangle to the length of the hypotenuse dates as far back in time as the Babylonians. Later in school when one gets a flavour of trigonometry, this result is neatly packaged in the equation $cos^2 \theta + sin^2 \...

Date/Time: Monday, June 19, 2017 (All day) to Saturday, July 1, 2017 (All day)

Venue: Seminar Room, SMS

The purpose of SOPM...

Date/Time: Thursday, June 15, 2017 - 11:30 to 12:30

Venue: SMS Seminar Hall

Speaker: Dr Saswata Adhikari, IIT Madras

Title: Frames of twisted shift-invariant spaces in $L^{2}(\mathbb{R}^{2n})$ and shift-invariant spaces on the Heisenberg group

**Abstract:** A well known result on translates of a function $\varphi$ in $L^{2}(\mathbb{R})$ states that the collection $\{\tau_{k}\varphi: k\in\mathbb {Z}\}$ forms an orthonormal system in $L^{2}(\mathbb{R})$ iff $p_{\varphi}(\xi)=\sum\limits_{k\in\mathbb {Z}}|\widehat{\varphi...

Date/Time: Tuesday, May 30, 2017 - 11:30

Venue: Seminar Hall, SMS

Speaker: Anup Dixit, University of Toronto

Title: On the generalized Brauer-Siegel Theorem

For a number field K over Q, there is an associated invariant called the class number, which captures how far the ring of integers of K, is from being a principal ideal domain (PID). The study of class numbers is an important theme in algebraic number theory. In order to understand how the...

Date/Time: Tuesday, May 23, 2017 - 16:00 to 17:00

Venue: Seminar Room, School of Mathematical Sciences

Speaker: Dr. Rohit Dilip Holkar, IISER Pune

Title: Locally free actions of groupoids and proper correspondences

Date/Time: Friday, April 21, 2017 - 11:35 to 12:35

Venue: SMS Seminal Hall

Speaker: Samir Shukla, IIT Kanpur

Title: Connectedness of Certain Graph Coloring Complexes

Abstract: The Kneser Conjecture was proved by Lovasz, using the Borsuk Ulam Theorem.
Lovasz introduced the notion of a simplicial complex called the neighborhood complex
for a graph $G$ with an aim of estimating the chromatic number of any graph by the
connectivity of its...

Date/Time: Wednesday, April 19, 2017 - 09:35 to 10:30

Venue: Seminar Hall

Speaker: Professor Arup Bose, ISI Kolkata

Title: IIntroduction to free independence

Abstract: Independence is a fundamental idea in probability theory. This is the same as product measures with total measure 1.

However, for non-commutative structures, the classical definition of independence does not work. This gave rise to the concept

of free independence as...

Date/Time: Tuesday, April 18, 2017 - 09:30 to 10:30

Venue: LH-5

Speaker: Professor Mahan MJ, TIFR, Mumbai

Title: What is hyperbolic geometry?

Abstract: We shall discuss Euclid's problem of trying to derive the parallel postulate from the remaining axioms.

**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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