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.

« October 2019 »
October
MoTuWeThFrSaSu
123456
78910111213
14151617181920
21222324252627
28293031
Upcoming Events
RISC Forum Oct 14, 2019 01:30 PM - 01:50 PM
RISC Forum Oct 21, 2019 01:30 PM - 01:45 PM
RISC Forum Oct 28, 2019 01:30 PM - 01:45 PM
RISC Forum Nov 04, 2019 01:30 PM - 01:45 PM
RISC Forum Nov 11, 2019 01:30 PM - 02:30 PM
Previous events…
Upcoming events…