MPLW Dynamical Systems - 2012


 IIT Bombay

Dates: 2nd - 7th  April 2012


Convener(s) Speakers, Syllabus and Time table Applicants/Participants


School Convener(s)


Akhil Ranjan

Mailing Address

Department of Mathematics, IIT Bombay
Powai Mumbai 400076


The 125th birth anniversary of Srinivasa Ramanujan falls in 2012. Government of India has declared it as the National MathematicsYear at the request of the Ramanujan Mathematical Society.Several mathematical activities are planned during 2012 and 2013. Among them a series of surveys called Mathematical Panorama Lectures are being planned. These are lecture courses given by eminent mathematicians on diverse topics of current research. These survey lectures will be accessible to research scholars and lead upto recent developments.


Speakers and Syllabus 


As a preparation for the Panorama Lectures by Prof. Ghys, there will be a workshop on dynamical systems at IIT Bombay during 2-7 April. The topics to be covered are: curvature on manifolds, vecotor fields as 1-parameter subgroups, some Riemannian geometry with special attention to hyperbolic manifolds, discrete subgroups of isometries, Poincare-Bendixson theory.


Siddhartha Bhattacharya  TIFR, Mumbai
Manoj Choudhury TIFR-CAM, Bangalore
S. G. Dani TIFR, Mumbai
Mahan Mj RKMVU, Belur Math
M. S. Raghunathan

IIT Bombay


Day 10-11 11.00-11.30 11.30-
2.00 – 3.00 3.0-0 – 4.00 4.00
Monday MSR* Tea SGD


Discussion MC Tea/ Snacks
Tuesday SB SGD MC
Wednesday SB SGD MC
Thursday MSR SGD MM
Friday MSR SB MM
Saturday MSR MM - - -

(Registration will be from 9:00 to 9:30 on Mon. 2 April, 2012)

MSR - M.S. Raghunathan (NCM, IITB) :

  • Manifolds
  • vector fields
  •  one-parameter groups,
  • basic theory of ODE
  • Poincare Bendixson theorem (4 lectures)
  • * (This lecture will begin at 9:30AM.)

SGD - S.G. Dani (TIFR Mumbai) :
Elements of Topological and Differentiable Dynamics (4 lectures)

 MC - Manoj Choudhury, (TIFR CAM Centre, Bangalore):
Basic hyperbolic geometry and Fuchsian groups (3 lectures)

SB - Siddhartha Bhattacharya:

  • Covering spaces
  • fundamental groups
  •  Euler characteristics of surfaces (3 lecturers)

MM - Mahan Mj (RKMMVU, Belur Math):

  • Riemannian geometry curvature
  •  geodesic flows
  •  special features in dimension 2
    (3 lectures)



Selected Applicants


Sr. SID Full Name Gender Affiliation State

Position  in College/ University

1  - Mr Bipin Balaram  M  -  -  -
2 1085

Mr Nirabhra Basu


Jadavpur University.

West Bengal Research Scholar
3  - Mr Tarun Kumar Chakra M IIT Bhubaneswar Odisha  Research Scholar
4 - Mr Vikramjeet Chandel  M  -  -  -
5 - Mr Manoj Choudhuri  M  -  -  -
6 1084 Mr Kajal Das M IMSc, Chennai Tamil Nadu Research Scholar
7  - Mr Shubhabrata Das  M  -  -  -
8  - Mr Prahllad Deb  M  -  -  -
9  - Mr Divakaran Divakaran  M  -  -  -
10  967 Mr Ramen Ghosh M University de Autonama de Mexico, Cuernavaca - Research Scholar
11 1068 Mr ARPAN KABIRAJ M Indian Institute of Science, Bangalore Karnataka Research Scholar
12  - Mr Dheeraj Kulkarni  M  -  -  -
13 921 Mr Dinesh Kumar M University of Delhi Delhi Research Scholar
14 1087 Mr Satyabrota Kundu M University of Calcutta, Kolkata West Bengal Research Scholar
15 1049 Mr Chandan Maity M IMSc, Chennai Tamil Nadu  -
16 1065 Mr Sumit Nagpal M University of Delhi Delhi Research Scholar
17 1123 Ms Nagavigneshwari G F Ramanujan Institute for Advanced Study in Mathematics,                   Univ. of Madras  Tamil Nadu Research Scholar
18  - Ms Saudamini Nayak  F  -  -  -
19 955 Mr Nishant Parmar M M.S. University of Baroda, Vadodara Gujarat Research Scholar
20 1077 Mr T. V. H. Prathamesh M Indian Institute of Science,
Karnataka Research Scholar
21 1081 Mr Bidyut Sanki M Indian Institute of Science,
Karnataka Research Scholar
22 915 Mr Raj Bhawan Yadav M  IIT Guwahati Assam Research Scholar


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