Канал: Visions in Mathematics Towards 2000

2.2 Y. Ne'eman : Physics as geometry – Plato vindicated

2.2 Y. Ne'eman : Physics as geometry – Plato vindicated

2.1 J. Fröhlich: Large quantum systems

2.1 J. Fröhlich: Large quantum systems

2.3 A. Connes : Non-commutative geometry

2.3 A. Connes : Non-commutative geometry

9.5 Discussion of the subjects of lectures, Day September 3

9.5 Discussion of the subjects of lectures, Day September 3

9.4 S. Klainerman : Some general remarks concerning nonlinear PDE's

9.4 S. Klainerman : Some general remarks concerning nonlinear PDE's

9.3 A. Kupiainen : Lessons for turbulence

9.3 A. Kupiainen : Lessons for turbulence

9.2 E. Lieb : The mathematics of the second law of thermodynamics

9.2 E. Lieb : The mathematics of the second law of thermodynamics

9.1 T. Spencer : Universality and statistical mechanics

9.1 T. Spencer : Universality and statistical mechanics

8.7 Discussion of the subjects of lectures, Evening September 2

8.7 Discussion of the subjects of lectures, Evening September 2

8.5 R.J. Aumann : Mathematical game theory: Looking backward and forward

8.5 R.J. Aumann : Mathematical game theory: Looking backward and forward

8.6 E. Hrushovski : Logic and geometry

8.6 E. Hrushovski : Logic and geometry

8.4 Discussion of the subjects of lectures, Morning September 2

8.4 Discussion of the subjects of lectures, Morning September 2

8.3 D. Sullivan : String interactions in topology

8.3 D. Sullivan : String interactions in topology

8.1 R. MacPherson : On the applications of topology

8.1 R. MacPherson : On the applications of topology

8.2 M. Kontsevich : Smooth and compact

8.2 M. Kontsevich : Smooth and compact

7.7 Discussion of the subjects of lectures, Evening September 1

7.7 Discussion of the subjects of lectures, Evening September 1

7.6 V. Kac: Classific. of infinite-dimen. simple groups of supersymetries and quantum field theory

7.6 V. Kac: Classific. of infinite-dimen. simple groups of supersymetries and quantum field theory

7.5 J. Bernstein : Equivariant derived categories

7.5 J. Bernstein : Equivariant derived categories

7.4 A. Beilinson : Around geometric Langlands

7.4 A. Beilinson : Around geometric Langlands

7.3 D. Kazhdan : The lifting problems and crystal base

7.3 D. Kazhdan : The lifting problems and crystal base

7.2 V. Voevodsky : Motivic homotopy types

7.2 V. Voevodsky : Motivic homotopy types

7.1 S. Bloch : Characteristic classes for linear differential equations

7.1 S. Bloch : Characteristic classes for linear differential equations

6.8 Discussion of the subjects of lectures, Evening August 31

6.8 Discussion of the subjects of lectures, Evening August 31

6.7 V. Milman : Topics in geometric analysis

6.7 V. Milman : Topics in geometric analysis

6.6 J. Bourgain : Some problems in Hamiltonian PDE's

6.6 J. Bourgain : Some problems in Hamiltonian PDE's

6.5 T. Gowers : Rough structure and crude classification

6.5 T. Gowers : Rough structure and crude classification

6.4 Discussion of the subjects of lectures, Morning August 31

6.4 Discussion of the subjects of lectures, Morning August 31

6.2 N. Alon : Probabilistic and algebraic methods in discrete mathematics

6.2 N. Alon : Probabilistic and algebraic methods in discrete mathematics

6.1 L. Lovász : Discrete and continuous: two sides of phenomena

6.1 L. Lovász : Discrete and continuous: two sides of phenomena

6.3 G. Kalai : An invitation to Tverberg's theorem

6.3 G. Kalai : An invitation to Tverberg's theorem

5.7 D. Zagier : On "q" (or "Connections between modular forms, combinatorics and topology")

5.7 D. Zagier : On "q" (or "Connections between modular forms, combinatorics and topology")

5.8 Discussion "The unreasonable effectiveness of modular forms" introduced by P. Sarnak

5.8 Discussion "The unreasonable effectiveness of modular forms" introduced by P. Sarnak

5.6 P. Sarnak : Some problems in number theory and analysis

5.6 P. Sarnak : Some problems in number theory and analysis

5.5 H. Iwaniec : Automorphic forms in recent developments of analytic number theory

5.5 H. Iwaniec : Automorphic forms in recent developments of analytic number theory

5.3 E. Stein : Some geometrical concepts arising in harmonic analysis

5.3 E. Stein : Some geometrical concepts arising in harmonic analysis

5.4 Discussion of the subjects of lectures, Morning August 30

5.4 Discussion of the subjects of lectures, Morning August 30

5.2 P. Jones : Challenges in analysis 2

5.2 P. Jones : Challenges in analysis 2

5.1 R. Coifman : Challenges in analysis 1

5.1 R. Coifman : Challenges in analysis 1

4.1 Discussion on Mathematics in the Real World (image, applications etc.) with intr. by R. Coifman

4.1 Discussion on Mathematics in the Real World (image, applications etc.) with intr. by R. Coifman

4.2 Discussion on Computer Science and Discrete Mathematics with introduction by M. Rabin

4.2 Discussion on Computer Science and Discrete Mathematics with introduction by M. Rabin

3.2 S. Novikov : Topological phenomena in real physics

3.2 S. Novikov : Topological phenomena in real physics

3.4 Discussion on Geometry with introduction by M. Gromov

3.4 Discussion on Geometry with introduction by M. Gromov

3.1 A. Jaffe : Mathematics of quantum fields

3.1 A. Jaffe : Mathematics of quantum fields

3.3 Discussion on Mathematical Physics with introduction by A. Connes

3.3 Discussion on Mathematical Physics with introduction by A. Connes

2.7 M. Rabin : The mathematics of trust and adversity

2.7 M. Rabin : The mathematics of trust and adversity

2.6 A. Wigderson : Some fundamental insights of computational complexity

2.6 A. Wigderson : Some fundamental insights of computational complexity

2.5 A. Razborov : Complexity of proofs and computation

2.5 A. Razborov : Complexity of proofs and computation

2.4 P. Shor : Mathematical problems in quantum information theory

2.4 P. Shor : Mathematical problems in quantum information theory

1.4 H. Furstenberg : Dynamical methods in Diophantine problems

1.4 H. Furstenberg : Dynamical methods in Diophantine problems

1.3 Y. Eliashberg : Symplectic field theory

1.3 Y. Eliashberg : Symplectic field theory

1.2 H. Hofer : Holomorphic curves and real three-dimentional dynamics

1.2 H. Hofer : Holomorphic curves and real three-dimentional dynamics

1.1 M. Gromov : Geometry as the art of asking questions

1.1 M. Gromov : Geometry as the art of asking questions

1.0 Introduction by U.Liberman and V.Milman

1.0 Introduction by U.Liberman and V.Milman

1.6 Y. Sinai : On some problems in the theory of dynamical systems and mathematical physics

1.6 Y. Sinai : On some problems in the theory of dynamical systems and mathematical physics

1.5 G. Margulis : Diophantine approximation, lattices and flows on homogeneous spaces

1.5 G. Margulis : Diophantine approximation, lattices and flows on homogeneous spaces

1.7 Discus. of the subj. of lectures, Day August 25 intr. by Y. Sinai (Zakharov, Shnirelman, Hofer)

1.7 Discus. of the subj. of lectures, Day August 25 intr. by Y. Sinai (Zakharov, Shnirelman, Hofer)

8.8 Discussion: The role of homotopical algebra in physics, intr. by D. Sullivan and M. Kontsevich

8.8 Discussion: The role of homotopical algebra in physics, intr. by D. Sullivan and M. Kontsevich