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Tuesday, November 10, 2015

12:00 PM - 1:00 PM (ET)

Exley Science Center (Tower)

Event Type

Meeting

Contact

Caryn Canalia

Department

Mathematics and Computer Science

Link

https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=65654

Abstract: Many objects in
nature have symmetry. Orb web spiders, for instance, create nearly perfect
circular webs. Snowflakes have 6-fold radial symmetry, and humans have
bilateral symmetry. The set of symmetries of a fixed object form a
(mathematical) group, which is a set with a binary relation that is closed,
associative, and has an identity element and inverses. Looking at the situation
in reverse, every group describes some set of symmetries. Thus, the question
arises: for any finite group G, is there an object whose group of symmetries is
G? We will answer this question using tools from graph theory.