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CATEGORIES:Seminar
DESCRIPTION:General Physics Colloquium and Cooper Lecture\, Dr. Natalie Paq
uette\, Caltech\n\nRefreshments from 3:30-3:50 pm\n\nTitle: String Theoret
ic Illuminations of Moonshine\n\nHost: Tom Hartman\n\nAbstract: Many of th
e rich interactions between mathematics and physics arise using general mat
hematical frameworks that describe a host of physical phenomena: from diffe
rential equations\, to algebra\, to topology and geometry. On the other han
d\, mathematics also possesses many examples of "exceptional objects": they
constitute the finite set of leftovers that appear in numerous classificat
ion problems. For example\, groups of symmetries in three dimensions appear
in two infinite families (cyclic groups and dihedral groups of n-sided pol
ygons) and the symmetry groups of the five Platonic solids--- the 'exceptio
nal' structures. \n\n\nThe mathematical subject of moonshine refers to surp
rising relationships between other kinds of special/exceptional objects tha
t arise from the theory of finite groups and from number theory. Increasing
ly\, string theory has been a source of insights in and explanations for mo
onshine. It is even the source of new examples of moonshine that further im
plicate special objects in geometry. We will review moonshine\, survey thes
e developments\, and highlight some of the (many!) exciting mysteries that
remain.
DTEND:20190923T210000Z
DTSTAMP:20200812T220539Z
DTSTART:20190923T200000Z
GEO:42.449066;-76.481926
LOCATION:Rockefeller Hall\, Schwartz Auditorium
SEQUENCE:0
SUMMARY:Department of Physics Colloquium - Cooper Lecture
UID:tag:localist.com\,2008:EventInstance_30963086120123
URL:https://events.cornell.edu/event/department_of_physics_colloquium_-_coo
per_lecture_6400
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