October 28-29, 2011
Minnesota State University - Moorhead
Moorhead, MN
Contact: Wally Sizer
The Fall 2011 meeting of the North Central Section of the Mathematical Association of America will be held October 28-29 at Minnesota State University - Moorhead in Moorhead, Minnesota.
The program for the fall meeting will be available a week or two prior to the meeting.
Permutation, Coagulation, and Fragmentation
Tom Halverson (Bio)
Macalester College
Abstract: We will begin by shuffling cards in a silly and slow way. This method of shuffling ---which can be viewed as a random walk on permutations --- has elegant properties and will lead us through a terrific story involving permutations, graphs, and some linear and abstract algebra. We then will add operations that "coagulate" and "fragment" points. These operations will give us a random walk on set partitions and lead us to the "partition algebra." Beautiful combinatorics emerge, ending with a startling connection to alternating sign matrices.
How to Find (and Keep) Neighbors
Rick Gillman (Bio)
Valparaiso University
Abstract:This talk explores the implications of our natural instinct to be around other people ‘like ourselves.’ In a major work, Schelling (1971) investigated the equilibrium states possible in bi-cultural housing environments. Young (2001) extended this work by identifying those equilibrium states which are also stochastically stable. Undergraduate students at Valparaiso University (2009, 2011) extended these results to multi-cultural environments. The new results have applications from describing the formation of high school cliques, to the American political landscape, to the stability of post-civil war Libya.
Directions to the university:
Note that 11th Street is one way going south.
From I-29 Take I-94 east, getting off at exit 1A and turn north. Go to 7th Ave. S. and turn right. Park between 10th and 11th Streets in lot W (right side) or lot A (left side).
From I-94 Take exit 1A and turn north. Go to 7th Ave. S. and turn right. Park between 10th and 11th Streets in lot W (right side) or lot A (left side).
From US 75 South Go north to 7th Ave. S. and turn right. Park between 10th and 11th Streets in lot W (right side) or lot A (left side).
From US 10 East Turn south on 11th St. S. Go to 7th Ave. S. and turn right. Park between 11th and 10th Streets in lot W (left side) or lot A (right side).
From US 75 North You join route 10 going west. Turn south on 11th Ave. S. Go to 7th Ave. S. and turn right. Park between 11th and 10th Streets in lot W (left side) or lot A (right side).
Parking in lot W or lot A (see Campus Map) is free from 4:30 Friday until 7:30 Monday.
Or do a web search for Moorhead motels or Fargo motels.
Comments or corrections can be sent to the webmaster.