CDSAGENDA V.5 SCHOOL AND CONFERENCE ON ALGEBRAIC K-THEORY AND ITS APPLICATIONS (dedicated to H. Bass on the occasion of his 70th birthday)

SCHOOL AND CONFERENCE ON ALGEBRAIC K-THEORY AND ITS APPLICATIONS (dedicated to H. Bass on the occasion of his 70th birthday)

Start Time:

8 July 2002 at 08:30

Ends On:

26 July 2002

Location:

ICTP

Venue:

M (LH)

Organizer(s):

M. Karoubi, A.O. Kuku and C. Pedrini

Local Organizer(s):

A.O. Kuku

Week 1 - Monday, 8 July

Room: Main Building Main Lecture Hall

8 July 2002

08:30
12:00

Registration and administrative formalities

03h30'

14:15
14:30

Opening

15'

14:30
15:30

K-theory and Algebraic Topology - The plus construction and higher K.

01h00'

A. Berrick
National University of Singapore

16:00
17:00

K-theory and Non-Commutative Geometry - Elliptic operators and index problems.

01h00'

N. Higson
Pennsylvania State University, U.S.A

Tuesday, 9 July

Room: Main Building Main Lecture Hall

9 July 2002

09:30
10:30

K-theory and Algebraic Topology - The plus construction as a localization.

01h00'

A. Berrick
National University of Singapore

11:00
12:00

K-theory and Representation Theory - Category of representations and constructions of Grothendieck groups and rings.

01h00'

A.O. Kuku
ICTP, Trieste, Italy

14:30
15:30

K-theory and Non-Commutative Geometry - Pseudodifferential operators.

01h00'

N. Higson
Pennsylvania State University, U.S.A

16:00
17:00

K-theory and Representation Theory - K-theory of exact categories, orders, group-rings and modules over 'EI' categories.

01h00'

A.O. Kuku
ICTP, Trieste, Italy

Wednesday, 10 July

Room: Main Building Main Lecture Hall

10 July 2002

09:30
10:30

K-theory and Non-Commutative Geometry - Cyclic cohomology

01h00'

N. Higson
Pennsylvania State University, U.S.A

11:00
12:00

K-theory and Algebraic Topology - Other constructions for higher K.

01h00'

A. Berrick
National University of Singapore

14:30
15:30

A Survey of the Developments of K-theory in the last 45 years - The beginning of K-theory: Grothendieck, Atiyah-Hirzebruch.

01h00'

M. Karoubi
Universite' Paris 7, France

16:00
17:00

K-theory and Representation Theory - Mackey, Green and Burnside functors plus induction theory for finite and compact Lie groups.

01h00'

A.O. Kuku
ICTP, Trieste, Italy

Thursday, 11 July

Room: Main Building Main Lecture Hall

11 July 2002

09:30
10:30

K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: methods.

01h00'

A. Berrick
National University of Singapore

11:00
12:00

A Survey of the Developments of K-theory in the last 45 years - K-theory of Banach algebras. Periodicity theorems of Bott.

01h00'

M. Karoubi
Universite' Paris 7, France

14:30
15:30

K-theory and Non-Commutative Geometry - Index cocycles.

01h00'

N. Higson
Pennsylvania State University, U.S.A

16:00
17:00

K-theory and Representation Theory - Equivariant Higher Algebraic K-theory plus relative generalisations (for finite group actions).

01h00'

A.O. Kuku
ICTP, Trieste, Italy

Friday, 12 July

Room: Main Building Main Lecture Hall

12 July 2002

09:30
10:30

A Survey of the Developments of K-theory in the last 45 years - Applications of topological K-theory. The Atiyah-Singer index theorem.

01h00'

M. Karoubi
Universite' Paris 7, France

11:00
12:00

K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: results.

01h00'

A. Berrick
National University of Singapore

14:30
15:30

K-theory and Representation Theory - Equivariant Higher Algebraic K-theory for profinite and compact Lie groups actions.

01h00'

A.O. Kuku
ICTP, Trieste, Italy

16:00
17:00

A Survey of the Developments of K-theory in the last 45 years - Algebraic K-theory of Bass and Milnor. Applications.

01h00'

M. Karoubi
Universite' Paris 7, France

Week 2 - Monday, 15 July

Room: Main Building Main Lecture Hall

15 July 2002

09:30
10:30

K-theory and Arithmetics - Special values of zeta-functions for curves over finite fields.

01h00'

M. Kolster
McMaster University, Hamilton, Canada

11:00
12:00

A Survey of the Developments of K-theory in the last 45 years - Higher Algebraic K-theory. Some computations.

01h00'

M. Karoubi
Universite' Paris 7, France

14:30
15:30

K-theory and Algebraic Topology - Rings of integers.

01h00'

A. Berrick
National University of Singapore

16:00
17:00

A Survey of the Developments of K-theory in the last 45 years - Hermitian K-theory

01h00'

M. Karoubi
Universite' Paris 7, France

Tuesday, 16 July

Room: Main Building Main Lecture Hall

16 July 2002

09:30
10:30

Introduction to A^1-homotopy theory - A^1-homotopy theory of simplicial sheaves.

01h00'

F. Morel
Universite' Paris 7, France

11:00
12:00

K-theory and Arithmetics - K-theory of number rings.

01h00'

M. Kolster
McMaster University, Hamilton, Canada

14:30
15:30

K-theory and Non-Commutative Geometry - Cyclic cohomology for Hopf algebras.

01h00'

N. Higson
Pennsylvania State University, U.S.A

16:00
17:00

Introduction to A^1-homotopy theory - Recollections on homotopy theory of simplicial sheaves.

01h00'

F. Morel
Universite' Paris 7, France

Wednesday, 17 July

Room: Main Building Main Lecture Hall

17 July 2002

09:30
10:30

Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: connectivity theorem and the t-structure.

01h00'

F. Morel
Universite' Paris 7, France

11:00
12:00

K-theory and Arithmetics - Chern characters.

01h00'

M. Kolster
McMaster University, Hamilton, Canada

14:30
15:30

K-theory and Algebraic Topology - The stable mapping class group.

01h00'

A. Berrick
National University of Singapore

16:00
17:00

A Survey of the Developments of K-theory in the last 45 years - Cyclic Homology and the Chern character

01h00'

M. Karoubi
Universite' Paris 7, France

Thursday, 18 July

Room: Main Building Main Lecture Hall

18 July 2002

09:30
10:30

Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: orientable ring spectra Algebraic cobordism and Algebraic K-theory.

01h00'

F. Morel
Universite' Paris 7, France

11:00
12:00

K-theory and Representation Theory - G-spectrum formulation for equivariant Higher Algebraic K-theory.

01h00'

A.O. Kuku
ICTP, Trieste, Italy

14:30
15:30

K-theory and Arithmetics - Relations to Iwasawa theory.

01h00'

M. Kolster
McMaster University, Hamilton, Canada

16:00
17:00

Introduction to A^1-homotopy theory - Motivic cohomology, rational stable A^1-homotopy theory and rational mixed motives.

01h00'

F. Morel
Universite' Paris 7, France

Friday, 19 July

Room: Main Building Main Lecture Hall

19 July 2002

09:30
10:30

A Survey of the Developments of K-theory in the last 45 years - One application of Algebraic K-theory to number theory.

01h00'

M. Karoubi
Universite' Paris 7, France

11:00
12:00

K-theory and Non-Commutative Geometry - Transverse index theory.

01h00'

N. Higson
Pennsylvania State University, U.S.A

14:30
15:30

Introduction to A^1-homotopy theory - $pi_0(S^0)$ and Grothendieck-Witt ring of quadratic forms.

01h00'

F. Morel
Universite' Paris 7, France

16:00
17:00

K-theory and Arithmetics - The Lichtenbaum conjecture.

01h00'

M. Kolster
McMaster University, Hamilton, Canada

Conference Programme - Week 3 - Monday, 22 July

Room: Main Building Main Lecture Hall

22 July 2002

09:15
09:30

Opening

15'

09:30
10:30

Equivariant Asanuma Algebras

01h00'

H. Bass
University of Michigan, Ann Arbor, U.S.A.

10:45
11:45

Morphic cohomology to semi-topological K-theory

01h00'

E. Friedlander
Northwestern University, Evanston, U.S.A.

12:00
12:30

The homotopy limit problem for algebraic K-theory at the prime 2

30'

A. Rosenschon
Duke University, Durham, U.S.A.

14:15
15:15

Fundamental classes in Algebraic Cobordism

01h00'

M. Levine
Northeastern University, Boston, U.S.A.

15:45
16:45

Rational and numerical equivalences on products of elliptic curves over a finite field

01h00'

B. Kahn
Universite' Paris 7, France

17:00
18:00

Beilinson's, Hodge and Tate conjectures and injectivity of the regulator maps

01h00'

S. Saito
Nagoya University, Japan

18:30
19:30

Reception

01h00'

Room: Main Building Terrace

Tuesday, 23 July

Room: Main Building Main Lecture Hall

23 July 2002

09:30
10:30

Equivariant K-theory of real vector spaces and the theory of partitions

01h00'

M. Karoubi
Universite' Paris 7, France

10:45
11:45

Projective configurations, homology of orthogonal groups and Milnor K-theory

01h00'

J.-L. Cathelineau
Universite' de Nice, France

12:00
12:30

Invariant Cyclic Homology

30'

B. Rangipour
University of Western Ontario, London, Canada

14:15
15:15

Finite dimensional motives and the conjectures of Bloch and Beilinson

01h00'

C. Pedrini
Universita' di Genova, Italy

15:45
16:45

The formalism of cross functors

01h00'

V. Voevodsky
Institute for Advanced Study, Princeton, U.S.A

17:00
18:00

Presheaves of chain complexes

01h00'

R. Jardine
University of Western Ontario, London, Canada

Wedneday, 24 July

Room: Main Building Main Lecture Hall

24 July 2002

09:30
10:30

Equivariant Chern characters and applications to K- and L- theory

01h00'

W. Lueck
University of Muenster, Germany

10:45
11:45

Trees, buildings, symmetric spaces, and K-theory for group C^*-algebras

01h00'

P. Baum
Pennsylvania State University, University Park, U.S.A.

12:00
12:30

Towards the Baum-Connes? analytical assembly map for actions of discrete quantum groups

30'

D. Goswami
ICTP, Trieste, Italy

14:10
14:40

Higher K-theory of group-rings of virtually infinite cyclic groups

30'

G. Tang
Northwestern Polytechnical University, Xian, China

14:45
15:15

Algebraic K-theory of group rings and topological cyclic homology

30'

M.E. Varisco
University of Muenster, Germany

15:45
16:45

Profinite and continuous higher K-theory of exact categories, schemes and orders

01h00'

A.O. Kuku
ICTP, Trieste, Italy

17:00
18:00

Bass conjecture for group-rings/Intertwiners and K-theory for commutative rings

01h00'

A.J. Berrick
National University of Singapore

Thursday, 25 July

Room: Main Building Main Lecture Hall

25 July 2002

09:30
10:30

Relative K_0, annihilators, fitting ideals and the Stickelberger phenomena

01h00'

V. Snaith
University of Southampton, U.K.

10:45
11:45

K-theory of symmetric products of symmetric spaces

01h00'

C. Weibel
Rutgers University, New Brunswick, U.S.A.

12:00
12:30

Proof of the KABI Conjecture

30'

G.H. Cortinas
Universidad de Buenos Aires, Argentina

14:15
15:15

K-theory with coefficients and index theory on manifolds with singularities

01h00'

J. Rosenberg
University of Maryland, College Park, U.S.A.

15:45
16:45

The Weyl-etale topology

01h00'

S. Lichtenbaum
Brown University, Providence, U.S.A.

17:00
18:00

Squeezing in Algebraic K-theory

01h00'

E. Pedersen
SUNY at Binghamton, U.S.A.

Friday, 26 July

Room: Main Building Main Lecture Hall

26 July 2002

09:30
10:30

Riemann-Roch type theorems for oriented cohomology

01h00'

I. Panin
Steklov Ins. Maths, St. Petersburg, Russia

10:45
11:45

1-motives versus mixed motives

01h00'

L. Barbieri-Viale
Universita' di Roma "La Sapienza", Italy

11:50
12:20

Localization in Hermitian K-theory

30'

M. Schlichting
University of Illinois,Urbana Champaign, USA

14:15
15:15

Algebraic K-theory and trace invariants

01h00'

L. Hesselholt
M.I.T., Cambridge, U.S.A.

15:30
16:00

Excision in bivariant periodic cyclic cohomology: a categorical approach

30'

C. Valqui
IMCA, Lima, Peru

16:05
16:35

Algebraic K-theory of non-linear sheaves on toric varieties

30'

T. Huettemann
University of Aberdeen, U.K.