Geometrical Objects Reconstruction and Computations

Sections

A. Modeling and Symbolic Computations in Riemannian and Applied Geometry

B. Geometrical Objects Reconstruction from Tomography-Type Projection Data

Schedule of the workshop

Monday, September 15th, 2008 : Room 570 – Education Building, CRI, University of Haifa

09:00-09:20 Opening ceremony. Greetings: Dr. Irina Albinsky (secretary)

"Symbolic Computations in Geometry"

V. Rovenski (University of Haifa), presentation

09:30-10:30 "Convexity problems in geometric tomography"

V. Golubyatnikov (Sobolev Institute of Mathematics)

11:00-11:50 "Vector and tensor tomography, 1"

V. Sharafutdinov (Sobolev Institute of Mathematics)

12:00-12:50 "Vector and tensor tomography, 2"

V. Sharafutdinov (Sobolev Institute of Mathematics)

14:00-14:50 "On unique determination of domains in Euclidean spaces and submanifolds of Riemannian manifords 1"

A. Kopylov (Sobolev Institute of Mathematics)

15:00-15:50 "On unique determination of domains in Euclidean spaces and submanifolds of Riemannian manifords 2"

A. Kopylov (Sobolev Institute of Mathematics)

16:10-17:10 "Group properties of geometric tomography problems"

V. Golubyatnikov (Sobolev Institute of Mathematics)

Tuesday, September 16th, 2008 : Room 570 – Education Building, CRI, University of Haifa

09:30-10:20 "Vector and tensor tomography, 3"

V. Sharafutdinov (Sobolev Institute of Mathematics)

10:30-11:20 "Vector and tensor tomography, 4"

V. Sharafutdinov (Sobolev Institute of Mathematics)

10:40-12:40 "Constructing surfaces with constant local conformal invariants"

P. Walczak (University of Lodz)

13:40-14:30 "Vector fields from Riemannian geometry viewpoint, 1"

A. Yampolsky (University of Kharkov)

14:40-15:30 "Vector fields from Riemannian geometry viewpoint, 2"

A. Yampolsky (University of Kharkov)

16:00-17:00 "On unique determination of domains in Euclidean spaces and submanifolds of Riemannian manifolds, 3

A. Kopylov (Sobolev Institute of Mathematics)

Wednesday, September 17th, 2008 : Room 570 – Education Building, CRI, University of Haifa

09:30-10:20 "Geometric symbol calculus for pseudo-differential operators, 1"

V. Sharafutdinov (Sobolev Institute of Mathematics)

10:30-11:20 "Geometric symbol calculus for pseudo-differential operators, 2"

V. Sharafutdinov (Sobolev Institute of Mathematics)

11:50-12:50 "On the reconstruction of integrable billiards and other hamiltonian systems"

M. Bialy (University of Tel Aviv)

13:50-14:40 "Inversion formulae in integral geometry"

V. Golubyatnikov (Sobolev Institute of Mathematics)

14:50-15:40 "Some extensions of the class of convex bodies"

V. Golubyatnikov (Sobolev Institute of Mathematics), V. Rovenski (University of Haifa)

16:20-17:10 "Data reconstruction via non-linear local models"

Y. Yomdin (Weizmann Institute)

17:10-17:20 Closing ceremony

18:20-22:30 Festive Dinner

Thursday, September 18th, 2008

• Excursions