# Past Events

Date/Time: Friday, April 10, 2015 - 16:00 to 17:00

Speaker: Dr. Shirshendu Chowdhury, TIFR-CAM, Bangalore

Title: Controllability of Linearized Compressible Navier Stokes equations

Abstract: We will describe: (i) What is Controllability problem (ii) Examples and known results: ODE (finite dim), transport equation, Heat equation (infinite dim ). Then we consider compressible Navier-Stokes equations in one dimension, linearized around a constant steady state $(Q_0,V_0)$,...

Date/Time: Monday, April 6, 2015 - 11:30 to 12:30

Speaker: Dr. Ritwik Mukherjee, Dept of Mathematics, TIFR Mumbai

Title: Counting curves via Topology

Abstract: Enumerative geometry is a branch of mathematics concerned with the following question: "How many geometric objects are there that satisfy certain constraints?" The simplest example of such a question is: "How many lines pass through two distinct points?'' A more interesting example is...

Date/Time: Wednesday, April 1, 2015 - 11:30 to 12:30

Speaker: Dr. Laxman Saha, Department of Mathematics, Balurghat College

Title: Graph Radio k-coloring Problems : Variations of Channel Assignment Problem

The Channel Assignment problem(CAP) is a general framework focused on point-to-point communication, e.g. in radio or mobile telephone networks. One of its main threads asks for an assignment of frequencies or frequency channels to transmitters while keeping interference at an acceptable...

Date/Time: Wednesday, March 25, 2015 - 11:35 to 12:35

Speaker: Dr. Safdar Quddus, NISER, Bhubaneswar

Title: Ultrafilters of $\mathbb N$ and functionals on $\mathbb D(l_2)$

Abstract: We shall define ultrafilters and examine its behaviour on $\mathbb N$. In order to understand the pure states on $\mathbb D(l_2)$, we shall firstly prove that $\mathbb D(l_2)$ is isometric to $C(\beta \mathbb N)$, the algebra of continuous functions on Stone-Cech...

Date/Time: Friday, March 20, 2015 - 16:00 to 17:00

Venue: Conference Room (skype)

Speaker: Dr. Karam Deo Shankhadha, Universidad de Chile, Chile

Title: Converse theorem for Jacobi cusp forms

Abstract: In the theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to represent an automorphic form. Studying the connection between the functions that satisfy certain automorphic property and the functional equation of their...

Date/Time: Monday, March 16, 2015 - 11:30 to 12:30

Speaker: Dr. Vishnu Narayan Mishra, Sardar Vallabhbhai National Institute of Technology

Title: Approximation of functions by positive linear operators

Positive approximation processes play an important role in Approximation Theory and appear in a very natural way dealing with approximation of continuous functions, especially one, which requires further qualitative properties such as monotonicity, convexity and shape preservation and so on. In...

Date/Time: Thursday, March 12, 2015 - 11:30 to 12:30

Speaker: Dr. Manas Ranjan Sahoo, IIT BHU

Title: Vanishing viscosity and weak asymptotic approach to systems of conservation laws admitting $\delta_\infty$-waves

Systems of Conservation laws which are not strictly hyperbolic appear in many physical applications. Generally for these systems the solution spaceis larger than the usual BVl oc space and classical Glimm-Lax Theory does not apply. We start with the non-strictly hyperbolic system(uj) t +j Xi=1(...

Date/Time: Tuesday, March 10, 2015 - 11:30 to 12:30

Speaker: Dr. Sumit Mohanty, IIT Kanpur

Title: Maximization of Combinatorial Schrodinger Operator's Smallest Eigenvalue with Dirichlet Boundary Condition

For a nonnegative potential function q and a given locally finite graph G, we study thecombinatorial Schr¨odinger operator Lq(G) = ∆G + q with Dirichlet boundary condition on aproper finite subset S of the vertex set of G such that the induced subgraph on S is connected.Let Υp = {q ∈ Lp(S) : q(x...

Date/Time: Monday, March 9, 2015 - 11:30 to 12:30

Speaker: Dr. Amit Tripathi, Indian Statistical Institute, Bangalore

Title: VECTOR BUNDLES AND GEOMETRY OF HYPERSURFACES

Let S ⊂ CP 3 be ’almost any’ projective surface of degree ≥ 4. ClassicalNoether-Lefschetz theorem states that any curve C ⊂ S can be written as an intersectionC = S∩ S 0 where S 0 is some surface in CP 3. Grothendieck-Lefschetz theorem generalizesthis result for higher dimension.In this survey...

Date/Time: Monday, February 23, 2015 - 14:30 to 15:30

Speaker: B. Subhas, NISER, Bhubaneswar

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