# Past Events

Date/Time: Friday, July 14, 2017 - 11:30 to 12:30
Venue: SMS Seminal Hall
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.