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DTSTART:20181104T020000
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UID:calendar.23298.field_event_date_2.0@math.wustl.edu
CREATED:20190208T162440Z
DESCRIPTION:Abstract: The notion of conformal mapping is of fundamental imp
ortance in complex analysis. Conformal maps are used by mathematicians\, p
hysicists and engineers to change regions with complicated shapes into muc
h simpler ones\, and to do so in a way that preserves shape on a small sca
le (that is\, when viewed up close).\n\nThis makes it possible to 'transpo
se' a problem that was formulated for the complicated-looking region into
another\, related problem for the simpler region (where it can be easily s
olved) -- then one uses conformal mapping to ``move’’ the solution of the
problem over the simpler region\, back to a solution of the original probl
em over the complicated region.\n\nThe beauty of conformal mapping is that
its governing principle is based on a very simple idea that is easy to ex
plain and to understand (much like the statement of Fermat's celebrated la
st theorem) .\n\nIn the first part of this talk I will introduce the notio
n of conformal mapping and will briefly go over its basic properties and s
ome of its history (including a historical mystery going back to Galileo G
alilei). I will then describe some of the many real-life applications of c
onformal maps\, including: cartography\; airplane wing design (transonic f
low)\; art (in particular\, the so-called 'Droste effect' in the work of M
. C. Escher).\n\nTime permitting\, I will conclude by highlighting a 2013
paper by McArthur fellow L. Mahadevan that uses the related notion of quas
i-conformal mapping to link D'Arcy Thompson's iconic work On Shape and Gro
wth (published in 1917) with modern morphometric analysis (a discipline in
biology that studies\, among other things\, how living organisms evolve o
ver time).\n\nNo previous knowledge of complex analysis is needed to enjoy
this talk.\n\nYou can access the flyer to the talk here.\n\nHost: Blake T
hornton
DTSTART;TZID=America/Chicago:20190222T160000
DTEND;TZID=America/Chicago:20190222T170000
LAST-MODIFIED:20190225T150055Z
SUMMARY:Undergraduate Colloquium: 'Practical Uses of Complex Analysis'
URL;TYPE=URI:https://math.wustl.edu/events/undergraduate-colloquium-practic
al-uses-complex-analysis
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