| 1st Week |
Wed 22-09-10 |
Thr 23-09-10 |
Fri 24-09-10 |
Sat 25-09-10 |
|
|---|---|---|---|---|---|
|
09:30 - 11:00 |
Ghanashyam Date
Brief Introduction, 3 + 1 decomposition, Canonical Formulation, Action; |
Ghanashyam Date
Canonical variable, Time gauge, Constraints, second-class constraints, form suitable for loop quantization; |
Ghanashyam Date
Algebraic Quantization, Choice of variables, holonomy-flux variables. Examples of LQC, Lattice Models |
Ghanashyam Date
Holonomy representation, Spin network functions; Constructions via projective families, Flux operators |
|
|
11:00 - 11:30 |
Tea/Coffee | Tea/Coffee | |||
|
11:30 - 13:00 |
Ayan Chatterjee
Arnowitt-Deser-Misner formulation |
Ayan Chatterjee
Symplectic formalism and Covariant phase space |
Ayan Chatterjee
Covariant phase space with constraints: Yang-Mills, Hilbert-Palatini-Holst |
Ayan Chatterjee
Isolated Horizons |
|
|
13:00 - 15:00 |
Lunch | Lunch | |||
|
15:00 - 16:30 |
Sandipan Sengupta
Constraint theory, |
AC
Examples of covariant phase space |
AC
Black Holes and Thermodynamics; Example of Schwarzschild black hole |
GD
Usual Schrodinger Quantization |
|
|
16:30 - 17:00 |
Snacks | Snacks | |||
| 2nd Week |
Mon 27-09-10 |
Tue 28-09-10 |
Wed 29-09-10 |
Thr 30-09-10 |
|
|
09:30 - 11:00 |
Ghanashyam Date
Area Operator, Non-Commutative Geometry |
Ghanashyam Date
The Volume operator |
Ghanashyam Date
The Diffeomorphism constraint and its solution. |
Ghanashyam Date
The Hamiltonian Constraint |
|
|
11:00 - 11:30 |
Tea/Coffee | Tea/Coffee | |||
|
11:30 - 13:00 |
Romesh Kaul
Quantum Horizons-I |
Romesh Kaul
Quantum Horizons-II |
Rakesh Tibrewala
Fock and Polymer Representations-I |
Rakesh Tibrewala
Fock and Polymer Representations-II |
|
|
13:00 - 15:00 |
Lunch | Lunch | |||
|
15:00 - 16:30 |
GD
Examples of Projective Families and Spin Networks |
GD
Spectra of Area and volume operators |
RT
Free |
GD/RK
Open Problems |
|
|
16:30 - 17:00 |
Snacks | Snacks |