**ODTU-B****I****LKENT
ALGEBRAIC GEOMETRY SEM****I****NAR**

**“**On the number of solutions of
quadratic equations**”**

by

# Alexander Degtyarev

**Abstract:
**We investigate the number
of connected components of a complete intersection of several real projective
quadrics. A complete answer is known/given in dimensions 0 and 1 and
codimensions 1 and 2. We produce new estimates in the case of codimension 3,
which show that there is no bound depending on the codimension only.

** **

**Date:** 10 October 2008 Friday

**Time:** 15:40

**Place:** Bilkent, Mathematics Seminar
Room SA-141

** **

**Tea and cookies will be served before the
talk.**