Math Talks: Ben Fischer ‘09 on Higher-Dimensional Pick's Theorems and Strange Ways of Counting
Thursday, October 16, 4:10 PM - 5:00 PM
Physics 123
This event is open to the public.
Lecture by Ben Fischer ‘09, Ph.D. Student in the Department of Mathematics & Statistics, Boston University
Pick's Theorem relates the area of a two-dimensional polyhedron to the number of integer points in each face. The theorem is patently false in three or more dimensions, but in this talk I will describe (infinitely many) ways of constructing higher-dimensional analogues. In order to do so, it will be helpful to generalize the notions of "volume" and "number of integer points" in order to give us something meaningful even when the polyhedron is unbounded.
This is joint work with Prof. Jamie Pommersheim that evolved out of my senior thesis at Reed in 2009. No prior familiarity with polyhedra will be assumed, only a basic knowledge of linear algebra and calculus.
All are welcome. Free and open to the public. Refreshment will be provided.
For more information, visit:
http://www.reed.edu/math/seminars/index.html.
Submitted by Kim Kadas.
Posted on Oct 10, 2014
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