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 )
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