Personal tools
You are here: Home / Internal / RISC Forum / 2012 / RISC Forum

RISC Forum

Filed under: ,
Speaker: Prof. Matthias Beck, San Francisco State University Title: Integer-point Enumeration in Polyhedra
When Mar 26, 2012
from 01:30 PM to 02:30 PM
Where RISC seminar room
Attendees all@risc
Add event to calendar vCal
iCal

Abstract: We use generating functions and complex-analytic methods to count integer lattice points in polytopes with rational vertices. More precisely, we study the number of lattice points as the polytope gets dilated by an integer factor. This expression is known as the Ehrhart quasipolynomial. Because polytopes can be described by a system of linear equalities and inequalities, they appear in a wealth of areas. We will show applications of Ehrhart quasipolynomials to number theory, combinatorics, and computational geometry, illustrating (or so we hope) that pure mathematics and computationally efficient algorithms are not mutually exclusive.

« December 2019 »
December
MoTuWeThFrSaSu
1
2345678
9101112131415
16171819202122
23242526272829
3031
Upcoming Events
RISC Forum Dec 16, 2019 01:30 PM - 01:45 PM
NO RISC Forum Dec 23, 2019 01:30 PM - 01:45 PM
NO RISC Forum Dec 30, 2019 01:30 PM - 01:45 PM
NO RISC Forum Jan 06, 2020 01:30 PM - 01:45 PM
RISC Forum Jan 13, 2020 01:30 PM - 02:15 PM
Previous events…
Upcoming events…