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Mathematics Colloquium

Speakers:
Etienne Ghys
Ecole Normale Superieure de Lyon, France

Title:

Traffic Jams: A Mathematical Problem?
Description:

Traffic jams are nightmares in large cities. I would like to explain some mathematical ideas around the global dynamics of vehicles in complex networks. I will first show some paradoxes, like for instance the fact that it is sometimes a good idea to close a street in order to improve the traffic. Then I will describe some theorems which may not solve the problem, but which at least provide a better understanding of the phenomenon.
Date &
Time:
Wednesday, Apr. 25, 2018, 16:00--17:00
Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Printable Version


Geometry and Topology Weekly Seminar

Speakers:
Tahereh Aladpoosh
IPM

Title:

On the Postulation of Scheme Theoretic Unions of Linear Subspaces of Projective Space
Description:

A fundamental problem in Algebraic Geometry for projective schemes X is postulation problem. In fact to understand the geometry of X as an embedded scheme, one of the first points of interest is considering the postulation problem, i.e. determining the number of conditions imposed by asking hypersurfaces of any degree to contain X. There is an expected number of conditions- in this situation the scheme X is said to have good postulation. So a natural question to ask is: when does X have good postulation, and if it is not, why not? In the case when X is a scheme supported on unions of generic linear subspaces of a projective space there is much interest in this question because of many applications, and not only among algebraic geometers. This problem can be traced back to classical projective geometry, but the first complete result was achieved in 1981 by R. Hartshorne and A. Hirschowitz on the postulation of generic lines. After that, despite all the progress made on this problem, surprisingly very little is known about it, and the problem is still very live and widely open. In this talk we first introduce the postulation problem, then we discuss this problem for the scheme theoretic unions of linear spaces in projective space by giving main results and conjectures about them, and finally, we point out its connections with several research areas inside and outside of mathematics.
Date &
Time:
Wednesday, May. 16, 2018, 15:30--17:00
Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Printable Version




School of Mathematics,
IPM - Institute for Research in Fundamental Sciences
Niavaran Building, Niavaran Square, Tehran, Iran
Tel: +98 21 222 90 928
Email: gt@ipm.ir