Modul:   MAT770  Oberseminar: Algebraische Geometrie

Lower estimates in real algebraic geometry

Talk by Prof. Dr. Andrei Teleman

Speaker invited by: Prof. Dr. Christian Okonek

Date: 21.11.11  Time: 13.15 - 14.45  Room: Y27H25

Many enumerative problems in real algebraic geometry reduce to counting the zeros of a section in a real algebraic bundle over a real algebraic manifold. Using the concept of relatively orientable bundle, one can obtain in many cases a lower bound for the number of zeros in terms of the absolute value of the Euler number of the bundle. We give several explicit applications of this principle.