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DTSTART:20190310T070000
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DTSTART:20191103T060000
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UID:event.764729.www.amherst.edu
DTSTART;TZID=America/New_York:20200220T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/New_York:20200220T163000
LOCATION:Seeley G. Mudd Building\, 206
SUMMARY:Math Colloquium: Amanda Folsom\, “Symmetry\, Almost”
CLASS:PUBLIC
DESCRIPTION:Some definitions of the word _symmetry_ include “correct or p
leasing\nproportion of the parts of a thing\,” “balanced proportions
” and\n“the property of remaining invariant under certain changes\, as
of\norientation in space.” One might think of snowflakes\, butterflies\
nand our own faces as naturally symmetric objects—or at least close\nto
it. Mathematically\, one can also conjure up many symmetric objects:\neven
and odd functions\, fractals\, certain matrices and modular forms\,\na ty
pe of symmetric complex function. All of these things exhibit a\nkind of b
eauty in their symmetries\, so would they lose some of their\ninnate beaut
y if their symmetries were altered? Alternatively\, could\nsome measure of
beauty be gained with slight symmetric imperfections?\nWe will explore th
ese questions\, guided by the topic of modular forms\nand their variants.
What can be gained by perturbing modular\nsymmetries in particular? We wil
l discuss this theme from past to\npresent: the origins of these questions
have their roots in the first\nhalf of the 20th century\, dating back to
Ramanujan and Gauss\, while\nsome fascinating and surprising answers come
from just the last 15\nyears.\n
DTSTAMP:20240422T060021Z
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