Speaker: Prof. Kalyan B. Sinha, Jawharlal Nehru Centre for Advanced Scientific Research, Bangalore and IISc Bangalore.
Venue: Ramanujan Hall
Title : Trace Formulas in Operator Theory
Abstract ; The celebrated Helton-Howe trace formula for hyponormal
operators is derived as a consequence of Krein's trace formula .
In many situation trace is a 'special' non-commutative integral of
'operator-functions ' and the said formula relates the non-commutative
integral with the 'volume Lebegue integral' ( in the usual
commutative sense ) .
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Mathematics Colloquium
Speaker: Prof. Parthanil Roy
Stat-Math Unit, ISI Bangalore
Date and Time: Tuesday 24th April, 2018; 4 p.m. to 5 p.m.
Venue: Ramanujan Hall
Title: Branching Random Walks: Two Conjectures, Two Theorems and a Question
Abstract: Branching random walk arises naturally in mathematical biology,
statistical physics and probability theory. Roughly speaking, it models a
system of growing particles or organisms that invades an environment in a
systematic fashion. Two famous statistical physicists (Eric Brunet and
Bernard Derrida) made conjectures about the long run configurations of
positions of particles in a branching random walk, and asked an open
question in their seminal work in 2011. Their question was answered
positively by Maillard (2013), and the conjectures were mathematically
proved recently by Madaule (2017) under certain conditions. In this talk,
we shall concentrate on the PhD thesis of Ayan Bhattacharya, who verified
Brunet-Derrida conjectures outside the Maillard-Madaule setup. If time
permits, some other recent related work will also be discussed.
This talk will be based on joint work with Ayan Bhattcharya and Rajat
Subhra Hazra. The papers are available in https://arxiv.org/abs/1411.5646
and https://arxiv.org/abs/1601.01656.
Time:
2:00pm-3:30pm
Location:
Room No. 105, Department of Mathematics
Description:
PDE seminar
Date and Time: April 26, Thursday, 2-3:30 p.m.
Venue: Room 105, Mathematics Department
Title: Control of infinite dimensional linear systems
Speaker: Debanjana Mitra,
Last talk of this seminar series for this semester.
Abstract: We discuss on feedback stabilizability of the infinite
dimensional system via the solution of Riccati equation. We touch upon
some interesting aspects of an optimal control problem. At the end, if
possible, we shall discuss on some interesting open problems in this
direction.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Date and Time: 26th April, 4-5p.m
Venue: Ramanujan hall
Title: Mathematical Analysis of a Rigid Body in a Viscous Gas.
Abstract :
Fluid-structure interaction problems have been an important area of
research in recent years. Such systems occur, for instance, in
aerodynamics (flow around an aircraft), medicine (blood flow in vessels),
zoology (swimming of aquatic animals). The mathematical study of these
problems rises several challenges, the main one being due to the fact that
the domain filled by the fluid is one of the unknowns of the problem. In
this talk, we present some recent advances in the mathematical analysis of
some particulate flows. We show that a variety of such system admits a
global in time unique solution for small initial data in the $L^p$ - $L^q$
framework.