MPLW Eigenvalues of Operators with Gaps and Applications to the Dirac Operator - (2012)
| Venue: |
TIFR-CAM, Tata Institute of Fundamental Research |
| Dates: | 26th October -9th November , 2012. |
| Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
| Name |
Mythily Ramaswamy |
M. Vanninathan. |
| Mailing Address |
Tata Institute of Fundamental Research Centre |
Tata Institute of Fundamental Research Centre |
 |
About the Principal Speaker : Maria J. Esteban is a director of research at the French CNRS (Centre national de recherche scientifique) and works at the University Paris-Dauphine. At present she is president of SMAI, the French society for applied and industrial mathematics and also the chair of the European Mathematical Society applied mathematics committee. Her main areas of expertise are the study of nonlinear partial differential equations, mainly with variational methods. In the past years she has worked intensely in relativistic quantum mechanics and its applications to quantum chemistry. Another scientific interest of hers is the study of fluid-structure interactions. |
About Lectures:
The lectures will be devoted to the spectral properties of operators with gaps and applications to the Dirac operator which is a basic model in Relativistic Quantum Mechanics. In addition, there will be preparatory lectures by others.
Schedule for Panorama Lectures held during
October 26th- November 9th, 2012 at TIFR-CAM, Bangalore
|
Timings |
26th and 27th Oct, 2012 |
|
Timings |
29th Oct – 9th Nov, 2012 |
|
10:00 - 11:00am |
Preliminary Lectures |
9:30 - 11:00am |
Preparatory Lectures |
|
|
11:00-11:30 am |
Tea Break |
11:00-11:30 am |
Tea Break |
|
|
11:30- 12:30 pm |
Preliminary Lectures |
11:30- 12:30 pm |
Prof. Maria J Esteban |
|
|
12:30-2:00 pm |
Lunch Break |
12:30-2:00 pm |
Lunch Break |
|
|
2:00-3:00 pm |
Preliminary Lectures |
2:00-3:00 pm |
Prof. Maria J Esteban |
|
|
3:00-3:30 pm |
Tea Break |
3:00-3:30 pm |
Tea Break |
|
|
3:30- 4:30 pm |
Preliminary Lectures |
3:30- 5:00 pm |
Preparatory Lectures |
* Preliminary Lectures by:
1) Prof. A.S.Vasudeva Murthy
2) Prof. K. Sandeep
3) Prof. Mythily Ramaswamy
4) Prof. M.Vanninathan.
Topics for Preliminary Lectures:
1. Sobolev spaces,Lax-Milgram Lemma, Examples of BVP. (By Prof. A.S.Vasudeva Murthy)
2. Spectral Theory for compact self adjoint operators, Eigenvalues, their variational characterization. (By Prof. K. Sandeep)
3. Unbounded operators with prototype example Laplace operator in L^2(R^n). Fourier transform in L^2(R^n). Spectral decomposition of Laplacian in R^n. (By Prof. Mythily Ramaswamy)
4. Semigroups, Stone's Theorem,Schrodinger and Dirac Equations as examples. Some Quantum Mechanics. (By Prof. M.Vanninathan)
| Selected Applicants |
| Serial | SID | Full name | Gender | State | Affiliation |
| 1 | 2206 | Prof.Ratnakumar PK | Male | Uttar Pradesh | |
| 2 | 2169 | Mr.Vijay Kumar Sohani | Male | Uttar Pradesh | Harish-Chandra Research Institute Allahabad. |
| 3 | 1862 | Mr.Mashetti Ravibabu | Male | Tamilnadu | I.I.T.MADRAS |
| 4 | 1863 | Ms.Sukla Adak | Female | Tamilnadu | I.I.T.MADRAS |
| 5 | 2293 | Mr.Kiran kumar | Male | Kerala | Cochin University of sciecnce and technology |
| 6 | 2302 | Mr.Pragadeeswarar v | Male | Tamil Nadu | Dept. of Mathematics, Bharathidasan University |
| 7 | 2303 | Mr.Chellapillai D | Male | Tamil Nadu | Bharathidasan University |
| 8 | 2329 | Mr Kranti Kumar | Male | Roorkee | Fluid dynamics and traffic flow. Dept. of Mathematics |
| How to reach |
How to reach TIFR, Bangalore
* From Bangalore Internation Airport (Distance 28km)
You can hire a City taxi or private taxi from Airport to TIFR , Yelahanka new town.
Landmark : Yelahanka new town Dairy Circle
* From Bangalore City Railway Station or Majestic Bus Stand (Distance 16km)
You can hire a City Taxi or Auto Rickshaw and ask drop for Yelahanka new town. The fare for City Taxi will be approximately Rs.400. For Auto Rickshaw fare will be approximately Rs.200.
You can also use BMTC Bus service to reach TIFR. You can board into following buses which comes to Yelahanka new town bus stand.
Buses to Yelahanka new town : 402B, 402D, 284D
TIFR CAM is located walkable distance from Yelahanka new town bus stand.
You may also visit the link below http://math.tifrbng.res.in/contactus for links to the route maps.
