NORTHEASTERNUNIVERSITY
MATHEMATICSDEPARTMENT


Geometry-Algebra-Singularities-Combinatorics 
Seminar

 
Hermitian K-theory and A¹-homotopy

 

Jens Hornbostel

(Northwestern University)



 
 
 
 
 
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Monday, November 19, 2001

 
 
 

Abstract: We first prove a localization theorem for hermitian K-theory of regular rings. Then we show that hermitian K-theory fulfills the Mayer-Vietoris property for Nisnevish squares and deduce that it is representable in the unstable A^1-homotopy category. Finally, we sketch how this is related to a conjecture of Morel on the stable A^1-homotopy groups of the sphere spectrum. 

Home Web page: Alexandru I. Suciu Created: October 23, 2001
Maintained by:  Misha Kogan URL: http://www.math.neu.edu/~GASC/gas/hornbostal.html