This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

Dynamical systems and systems of equations

Average number of real roots and points of intersection

speaker: Michael Shub (The City University of New York)

abstract: In 1992 or so, Steve Smale and I proved that the average number of real roots of a square polynomial system is the square root of the Bezout number. Now Axel Kodat and I have proven a similar theorem for the number of intersection points of complimentary dimension sub manifolds of a given manifold. The average taken over a finite dimensional submanifold of Diff. The average is comparable to the product of the volumes.

timetable:
Tue 21 Jun, 9:00 - 10:00, Aula Dini
<< Go back