Lecture 25 . Polytopes (Federico Ardila)
Автор: Federico Ardila
Загружено: 2012-09-03
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Описание:
We explore Ehrhart theory for rational polytopes. If P is a rational d-polytope, then L_P(n) is a quasipolynomial. A nice application is Pick’s theorem, which gives the area of a lattice polygon in terms of the number of interior lattice points and the number of boundary lattice points.
Lecture notes at: http://math.sfsu.edu/federico/Clase/P...
San Francisco State University (San Francisco, USA)
Universidad de Los Andes (Bogota, Colombia)
Fall 2010
Partially supported by:
US National Science Foundation CAREER Award DMS-0956178
US National Science Foundation Grant DMS-0801075
SFSU-Colombia Combinatorics Initiative.
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