# Geometrical Objects Reconstruction and Computations

### Monday - Wednesday, 15-17, September 2008

## 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