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DTSTAMP:20200930T190000Z
UID:1601050330220@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20200930T190000Z
DTEND:20200930T195000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Combinatorics and Graph Theory\n
\n
Josh Hallam
from Loyola Marymount University will be speaking.\n
\n
The
presentation is titled "Whitney
Duals of Graded Posets."\n
\n
This event takes
place online via Zoom.\n
\n
The event description
is as follows:\n
\n
To each graded poset one
can associate two sequences of numbers; the
Whitney numbers of the first kind and the Whitney
numbers of the second kind. One sequence
keeps track of the Möbius function at each rank
level and the other keeps track of the number
of elements at each rank level. The Whitney
numbers appear in many contexts in combinatorics.
For example, they appear as the coefficients
of the chromatic polynomial of a graph
and can be used to compute the number of regions
in a real hyperplane arrangement. We say
that posets P and Q are Whitney duals if the
Whitney numbers of the first kind of P are
the Whitney numbers of the second kind of Q
and vice-versa. In this talk, we will discuss
a method to construct Whitney duals using edge
labelings and quotient posets. We will also
discuss some applications of Whitney duals.
This is joint work with Rafael S. González D'León.\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Zoom link provided on Math Seminars page
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