LQG School Program


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