smr1840

[Algebraic K-Theory]

School and Conference on Algebraic K-Theory and its Applications
Organizers:  Directors: E. Friedlander, A.O. Kuku, C. Pedrini;
ICTP Local Organizer: L. Goettsche
Trieste - Italy, 14 May 2007 - 1 June 2007
MB (Main Lecture Hall)
Venue: Main Building Lecture Hall

Preliminary Programme

Monday, 14 May 2007

08:30 - 10:00 (Main Building, Lobby)
--- Registration ---

10:00 - 12:00 --- Free time for administrative formalities ---

12:00 - 14:00 --- Lunch Break ---

14:00 - 14:30 Opening Remarks

14:30 - 15:30 Eric Friedlander / Northwestern University, Evanston, USA
$K_0(1), K_1(-)$

15:30 - 16:00 --- Coffee Break ---

16:00 - 17:00 Alexander Vishik / University of Nottingham, U.K.
Quadratic forms and their invariants


Tuesday, 15 May

10:00 - 11:00 Eric Friedlander
Classifying spaces and higher K-theory

11:00 - 11:30 --- Coffee Break ---

11:30 - 12:30 Alexander Vishik
Geometry of quadrics. Chow groups. Motive of a quadric

12:30 - 14:30 --- Lunch Break ---

14:30 - 15:30 Eric Friedlander
Topological K-theory

15:30 - 16:00 --- Coffee Break ---

16:00 - 17:00 Alexander Vishik
"Generic discrete" and "elementary discrete" invariants of quadrics.
Connection to the "classical" invariants

18:30 - 20:30
--- Reception (Buffet Dinner at the Adriatico Guesthouse) ---

Wednesday, 16 May 2007

10:00 - 11:00 Ulf Rehmann / Universitaet Bielefeld, Germany
TBA

11:00 - 11:30 --- Coffee Break ---

11:30 - 12:30 Eric Friedlander
K-theory and algebraic geometry

12:30 - 14:30 --- Lunch Break ---

14:30 - 17:30 --- Free Afternoon ---


Thursday, 17 May, 2007

10:00 - 11:00 Ulf Rehmann
TBA

11:00 - 11:30 --- Coffee Break ---

11:30 - 12:30 Eric Friedlander
Some difficult, long-standing problems

12:30 - 14:00 --- Lunch Break ---

14:00 - 15:00 Alexander Vishik
Algebraic Cobordisms of smooth varieties.
Landweber-Novikov and Steenrod operations. Symmetric
operations

15:00 - 15:15 --- Break ---

15:15 - 16:15 Ulf Rehmann
TBA

16:15 - 16:30 --- Coffee Break ---

16:30 - 17:30 Eric Friedlander
Beilinson's vision, partially fulfilled

Friday, 18 May 2007

10:00 - 11:00 Ulf Rehmann
TBA

11:00 - 11:30 --- Coffee Break ---

11:30 - 12:30 Alexander Vishik
Questions of rationality of elements in the Chow groups. Reduction to 
the generic point of a quadric

12:30 - 14:30 --- Lunch Break ---

14:30 - 15:30 Ulf Rehmann
TBA

15:30 - 16:00 --- Coffee Break ---

16:00 - 17:00 Alexander Vishik
Applications to the u-invariant of fields