Proceedings of the International Congress of Mathematicians: Madrid, August 22 - 30, 2006 2 Invited lectures
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European Mathematical Society Publishing House
2006
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| 245 | 1 | 0 | |a Proceedings of the International Congress of Mathematicians |b Madrid, August 22 - 30, 2006 |n 2 |p Invited lectures |c Marta Sanz-Solé [und 3 andere], editors |
| 264 | 1 | |a Zürich |b European Mathematical Society Publishing House |c 2006 | |
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Datensatz im Suchindex
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| adam_text | Contents
1 Logic
and foundations
Rod Downey
Algorithmic randomness and computability
................................ 1
Itay Neeman
Determinacy and large cardinals
.......................................... 27
Michael Rathjen
The art of ordinal analysis
............................................... 45
Thomas Scanlon
Analytic difference rings
................................................. 71
Simon Thomas
Borei superrigidity
and the classification problem for the torsion-free
abelian groups of finite rank
.............................................. 93
2
Algebra
William Crawley-Boevey
Quiver algebras, weighted
projective
lines, and the Deligne-Simpson
problem
................................................................ 117
Marcus
du Sautoy*
and Fritz
Grunewald*
Zeta
functions of groups and rings
........................................ 131
Bernhard
Keller
On differential graded categories
......................................... 151
Raphaël Rouquier
Derived equivalences and finite dimensional algebras
....................... 191
Mark
Sapir
Algorithmic and asymptotic properties of groups
........................... 223
Ákos Seress
A unified approach to computations with permutation
and matrix groups
....................................................... 245
Agata Smoktunowicz
Some results in noncommutative ring theory
............................... 259
3
Number theory
Manjul Bhargava
Higher composition laws and applications
................................. 271
*In case of several authors, invited speakers are marked with an asterisk.
vi
Contents
Ching-Li
Chai
Hecke
orbits as Shimura varieties in positive characteristic
.................. 295
Henri Darmon
Heegner points, Stark-Heegner points, and values of ¿-series
............... 313
Kazuhiro Fujiwara
Galois deformations and arithmetic geometry of Shimura varieties
........... 347
Ben Green
Generalising the Hardy-Littlewood method for primes
...................... 373
Gerard Laumon
Aspects
géométriques du Lemme Fondamental
de Langlands-Shelstad
................................................... 401
Philippe Michel* andAkshay Venkatesh
Equidistribution,
¿-functions and ergodic theory:
on
some problems of
Yu. Linnik
.......................................... 421
Wiesława Nizioł
p-aáic motivic cohomology
in arithmetic
.................................. 459
Christopher Skinner* and Eric Urban*
Vanishing of ¿-functions and ranks of
Selmer
groups
....................... 473
Vinayak Vatsal
Special values of L-functions modulo
ρ
................................... 501
4
Algebraic and complex geometry
Valéry
Alexeev
Higher-dimensional analogues of stable curves
............................. 515
Jean-Benoît
Bost
Evaluation maps, slopes, and
algebraicky
criteria
.......................... 537
Tom Bridgeland
Derived categories of coherent sheaves
.................................... 563
Lawrence
Ein*
and Mircea
Mustaţă
Invariants of singularities of pairs
......................................... 583
Tom Graber
Rational curves and rational points
........................................ 603
Jun-Muk Hwang
Rigidity of rational homogeneous spaces
.................................. 613
Tomohide Terasoma
Geometry of multiple
zeta
values
......................................... 627
Yuri Tschinkel
Geometry over nonclosed fields
.......................................... 637
Jarosław Włodarczyk
Algebraic Morse theory and the weak factorization theorem
................. 653
Contents
vii
5
Geometry
Christoph Böhm and Burkhard Wilking*
Manifolds with
positive
curvature operators are space forms
................. 683
Simon Brendle
Elliptic and parabolic problems in
conformai
geometry
..................... 691
Ko
Honda
The topology and geometry of contact structures in
dimension three
......................................................... 705
Michael Kapovich
Generalized triangle inequalities and their applications
..................... 719
Bruce Kleiner
The asymptotic geometry of negatively curved spaces:
uniformization, geometrization and rigidity
................................ 743
François Lalonde
Lagrangian submanifolds: from the local model to the cluster complex
....... 769
Xiaobo Liu
Gromov-Witten invariants and moduli spaces of curves
..................... 791
Toshiki Mabuchi
Extremal metrics and stabilities on polarized manifolds
..................... 813
Grigory Mikhalkin
Tropical geometry and its applications
.................................... 827
William P.
Minicozzi
II
Embedded minimal surfaces
............................................. 853
Yong-Geun Oh* and Kenji Fukaya
Floer homology
in symplectic geometry and in mirror symmetry
............ 879
Antonio
Ros
Properly embedded minimal surfaces with finite topology
................... 907
Chuu-Lian Terng
Applications of loop group factorization to geometric soliton equations
....... 927
6
Topology
Ian Agol
Finiteness of arithmetic Kleinian reflection groups
......................... 951
Martin R. Bridson
Non-positive curvature and complexity for finitely presented groups
......... 961
Mikhail Khovanov
Link homology and categorification
....................................... 989
Yair
N.
Minsky
Curve complexes, surfaces and 3-manifolds
............................... 1001
viii Contents
Fabien
Morel
A1
-algebraic topology
................................................... 1035
Kaoru Ono
Development in symplectic
Floer
theory
................................... 1061
Peter
Ozsváth*
and
Zoltán Szabó*
Heegaard diagrams and
Floer homology
................................... 1083
Karen
Vogtmann
The cohomology of automorphism groups of free groups
.................... 1101
7
Lie groups and Lie algebras
Roman Bezrukavnikov
Noncommutative
counterparts of the Springer resolution
.................... 1119
Alexander Braverman
Spaces of quasi-maps into the flag varieties and their applications
............ 1145
Guy Henniart
On the local
Langlands
and Jacquet-Langlands correspondences
............ 1171
Nicolas Monod
An invitation to bounded cohomology
..................................... 1183
Bao-Châu Ngô
Fibration
de
Hitchin
et
structure endoscopique
de la formule
des
traces
.............................................................. 1213
Eric M.
Opdam
Hecke
algebras and harmonic analysis
.................................... 1227
Peter Schneider
Continuous representation theory of p-adic Lie groups
..................... 1261
Yehuda Shalom
The algebraization of Kazhdan s property (T)
.............................. 1283
David Soudry
Rankin-Selberg integrals, the descent method, and
Langlands
functoriality
............................................................ 1311
Birgit
Speh
Representation theory and the cohomology of arithmetic groups
............. 1327
TonnyA. Springer
Some results on compactifications of
semisimple
groups
.................... 1337
8
Analysis
Mario Bonk
Quasiconformal geometry of fractals
...................................... 1349
Contents ix
Steve Hofmann
Local
Tb
theorems and applications
in PDE............................... 1375
Sergey V.
Konyagin
Almost
everywhere convergence and divergence of Fourier series
............ 1393
Linda Preiss Rothschild
Iterated
Segre
mappings of real submanifolds
in complex space and applications
........................................ 1405
Stanislav Smirnov
Towards
conformai
invariance
of 2D lattice models
......................... 1421
Emil J.
Sträube
Aspects of the L2-Sobolev theory of the 3-Neumann problem
............... 1453
Vladimir
N.
Temlyakov
Greedy approximations with regard to bases
............................... 1479
Xavier Tolsa
Analytic capacity, rectifiability, and the Cauchy integral
..................... 1505
9
Operator algebras and functional analysis
Franck Barthe
The Brunn-Minkowski theorem and related geometric and
functional inequalities
................................................... 1529
Bo az
Klartag
Isomorphic and almost-isometric problems in high-dimensional
convex geometry
........................................................ 1547
Narutaka Ozawa
Amenable actions and applications
........................................ 1563
Mikael R0rdam
Structure and classification of C*-algebras
................................ 1581
Stanislaw
J.
Szarek
Convexity, complexity, and high dimensions
............................... 1599
Guoliang Yu
Higher index theory of elliptic operators and geometry of groups
............ 1623
10
Ordinary differential equations and dynamical systems
Oleg
N.
Ageev
On spectral invariants in modern ergodic theory
............................ 1641
Vítaly Bergelson
Ergodic Ramsey theory: a dynamical approach to static theorems
............ 1655
Nikolai Chernov and Dmitry Dolgopyat*
Hyperbolic billiards and statistical physics
................................. 1679
x
Contents
Rafael de
la Llave
Some recent progress in geometric methods in the instability problem
in Hamiltonian mechanics
............................................... 1705
Manfred
Einsiedler
and Elon Lindenstrauss*
Diagonalizable flows on locally homogeneous spaces and number theory
..... 1731
Author index
............................................................... 1761
|
| adam_txt |
Contents
1 Logic
and foundations
Rod Downey
Algorithmic randomness and computability
. 1
Itay Neeman
Determinacy and large cardinals
. 27
Michael Rathjen
The art of ordinal analysis
. 45
Thomas Scanlon
Analytic difference rings
. 71
Simon Thomas
Borei superrigidity
and the classification problem for the torsion-free
abelian groups of finite rank
. 93
2
Algebra
William Crawley-Boevey
Quiver algebras, weighted
projective
lines, and the Deligne-Simpson
problem
. 117
Marcus
du Sautoy*
and Fritz
Grunewald*
Zeta
functions of groups and rings
. 131
Bernhard
Keller
On differential graded categories
. 151
Raphaël Rouquier
Derived equivalences and finite dimensional algebras
. 191
Mark
Sapir
Algorithmic and asymptotic properties of groups
. 223
Ákos Seress
A unified approach to computations with permutation
and matrix groups
. 245
Agata Smoktunowicz
Some results in noncommutative ring theory
. 259
3
Number theory
Manjul Bhargava
Higher composition laws and applications
. 271
*In case of several authors, invited speakers are marked with an asterisk.
vi
Contents
Ching-Li
Chai
Hecke
orbits as Shimura varieties in positive characteristic
. 295
Henri Darmon
Heegner points, Stark-Heegner points, and values of ¿-series
. 313
Kazuhiro Fujiwara
Galois deformations and arithmetic geometry of Shimura varieties
. 347
Ben Green
Generalising the Hardy-Littlewood method for primes
. 373
Gerard Laumon
Aspects
géométriques du Lemme Fondamental
de Langlands-Shelstad
. 401
Philippe Michel* andAkshay Venkatesh
Equidistribution,
¿-functions and ergodic theory:
on
some problems of
Yu. Linnik
. 421
Wiesława Nizioł
p-aáic motivic cohomology
in arithmetic
. 459
Christopher Skinner* and Eric Urban*
Vanishing of ¿-functions and ranks of
Selmer
groups
. 473
Vinayak Vatsal
Special values of L-functions modulo
ρ
. 501
4
Algebraic and complex geometry
Valéry
Alexeev
Higher-dimensional analogues of stable curves
. 515
Jean-Benoît
Bost
Evaluation maps, slopes, and
algebraicky
criteria
. 537
Tom Bridgeland
Derived categories of coherent sheaves
. 563
Lawrence
Ein*
and Mircea
Mustaţă
Invariants of singularities of pairs
. 583
Tom Graber
Rational curves and rational points
. 603
Jun-Muk Hwang
Rigidity of rational homogeneous spaces
. 613
Tomohide Terasoma
Geometry of multiple
zeta
values
. 627
Yuri Tschinkel
Geometry over nonclosed fields
. 637
Jarosław Włodarczyk
Algebraic Morse theory and the weak factorization theorem
. 653
Contents
vii
5
Geometry
Christoph Böhm and Burkhard Wilking*
Manifolds with
positive
curvature operators are space forms
. 683
Simon Brendle
Elliptic and parabolic problems in
conformai
geometry
. 691
Ko
Honda
The topology and geometry of contact structures in
dimension three
. 705
Michael Kapovich
Generalized triangle inequalities and their applications
. 719
Bruce Kleiner
The asymptotic geometry of negatively curved spaces:
uniformization, geometrization and rigidity
. 743
François Lalonde
Lagrangian submanifolds: from the local model to the cluster complex
. 769
Xiaobo Liu
Gromov-Witten invariants and moduli spaces of curves
. 791
Toshiki Mabuchi
Extremal metrics and stabilities on polarized manifolds
. 813
Grigory Mikhalkin
Tropical geometry and its applications
. 827
William P.
Minicozzi
II
Embedded minimal surfaces
. 853
Yong-Geun Oh* and Kenji Fukaya
Floer homology
in symplectic geometry and in mirror symmetry
. 879
Antonio
Ros
Properly embedded minimal surfaces with finite topology
. 907
Chuu-Lian Terng
Applications of loop group factorization to geometric soliton equations
. 927
6
Topology
Ian Agol
Finiteness of arithmetic Kleinian reflection groups
. 951
Martin R. Bridson
Non-positive curvature and complexity for finitely presented groups
. 961
Mikhail Khovanov
Link homology and categorification
. 989
Yair
N.
Minsky
Curve complexes, surfaces and 3-manifolds
. 1001
viii Contents
Fabien
Morel
A1
-algebraic topology
. 1035
Kaoru Ono
Development in symplectic
Floer
theory
. 1061
Peter
Ozsváth*
and
Zoltán Szabó*
Heegaard diagrams and
Floer homology
. 1083
Karen
Vogtmann
The cohomology of automorphism groups of free groups
. 1101
7
Lie groups and Lie algebras
Roman Bezrukavnikov
Noncommutative
counterparts of the Springer resolution
. 1119
Alexander Braverman
Spaces of quasi-maps into the flag varieties and their applications
. 1145
Guy Henniart
On the local
Langlands
and Jacquet-Langlands correspondences
. 1171
Nicolas Monod
An invitation to bounded cohomology
. 1183
Bao-Châu Ngô
Fibration
de
Hitchin
et
structure endoscopique
de la formule
des
traces
. 1213
Eric M.
Opdam
Hecke
algebras and harmonic analysis
. 1227
Peter Schneider
Continuous representation theory of p-adic Lie groups
. 1261
Yehuda Shalom
The algebraization of Kazhdan's property (T)
. 1283
David Soudry
Rankin-Selberg integrals, the descent method, and
Langlands
functoriality
. 1311
Birgit
Speh
Representation theory and the cohomology of arithmetic groups
. 1327
TonnyA. Springer
Some results on compactifications of
semisimple
groups
. 1337
8
Analysis
Mario Bonk
Quasiconformal geometry of fractals
. 1349
Contents ix
Steve Hofmann
Local
Tb
theorems and applications
in PDE. 1375
Sergey V.
Konyagin
Almost
everywhere convergence and divergence of Fourier series
. 1393
Linda Preiss Rothschild
Iterated
Segre
mappings of real submanifolds
in complex space and applications
. 1405
Stanislav Smirnov
Towards
conformai
invariance
of 2D lattice models
. 1421
Emil J.
Sträube
Aspects of the L2-Sobolev theory of the 3-Neumann problem
. 1453
Vladimir
N.
Temlyakov
Greedy approximations with regard to bases
. 1479
Xavier Tolsa
Analytic capacity, rectifiability, and the Cauchy integral
. 1505
9
Operator algebras and functional analysis
Franck Barthe
The Brunn-Minkowski theorem and related geometric and
functional inequalities
. 1529
Bo 'az
Klartag
Isomorphic and almost-isometric problems in high-dimensional
convex geometry
. 1547
Narutaka Ozawa
Amenable actions and applications
. 1563
Mikael R0rdam
Structure and classification of C*-algebras
. 1581
Stanislaw
J.
Szarek
Convexity, complexity, and high dimensions
. 1599
Guoliang Yu
Higher index theory of elliptic operators and geometry of groups
. 1623
10
Ordinary differential equations and dynamical systems
Oleg
N.
Ageev
On spectral invariants in modern ergodic theory
. 1641
Vítaly Bergelson
Ergodic Ramsey theory: a dynamical approach to static theorems
. 1655
Nikolai Chernov and Dmitry Dolgopyat*
Hyperbolic billiards and statistical physics
. 1679
x
Contents
Rafael de
la Llave
Some recent progress in geometric methods in the instability problem
in Hamiltonian mechanics
. 1705
Manfred
Einsiedler
and Elon Lindenstrauss*
Diagonalizable flows on locally homogeneous spaces and number theory
. 1731
Author index
. 1761 |
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| publisher | European Mathematical Society Publishing House |
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| spelling | International Congress of Mathematicians 2006 Madrid Verfasser (DE-588)6512366-9 aut Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 2 Invited lectures Marta Sanz-Solé [und 3 andere], editors Zürich European Mathematical Society Publishing House 2006 X, 1762 S. Ill. txt rdacontent n rdamedia nc rdacarrier Madrid <2006> rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Mathematik (DE-588)4037944-9 s Madrid <2006> s DE-604 Sanz-Solé, Marta 1952- (DE-588)131512218 edt (DE-604)BV021758368 2 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 Madrid <2006> Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)1071861417 |
| title | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_auth | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_exact_search | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_exact_search_txtP | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_full | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 2 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_fullStr | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 2 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_full_unstemmed | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 2 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_short | Proceedings of the International Congress of Mathematicians |
| title_sort | proceedings of the international congress of mathematicians madrid august 22 30 2006 invited lectures |
| title_sub | Madrid, August 22 - 30, 2006 |
| topic | Madrid <2006> Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Madrid <2006> Mathematik Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021758368 |
| work_keys_str_mv | AT internationalcongressofmathematiciansmadrid proceedingsoftheinternationalcongressofmathematiciansmadridaugust223020062 AT sanzsolemarta proceedingsoftheinternationalcongressofmathematiciansmadridaugust223020062 |