School of Mathematics Seminars and Lectures
Geometry of monoids and F_1- schemes.
by Dr. Rekha Santhanam (Indian Institute of Technology, Kanpur.)
Monday, February 14, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
Lately there has been a lot of interest in the field of one element denoted by F_1 in the context of arithmetic geometry and number theory. The definition of such a field is guided by what happens to the geometry over F_1 as q tends to 1. In this talk we will define F_1-schemes as defined by Connes and Consani. We will define algebraic K-theory of F_1-schemes and in particular show that the K-theory of F_1 is the stable homotopy groups of spheres. This is a joint work with Chenghao Chu and Oliver Lorschied. |
Organised by | Aravindakshan T |