BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The search for complex singularities in exponentia
l asymptotics - Philippe Trinh (University of Bat
h)
DTSTART;TZID=Europe/London:20191213T163000
DTEND;TZID=Europe/London:20191213T170000
UID:TALK135709AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135709
DESCRIPTION:In the last two decades\, the development of speci
alized techniques in mathematics known as exponent
ial asymptotics has led to the successful resoluti
on of long-standing problems in topics as varied a
s quantum mechanics\, crystal growth\, dislocation
s\, pattern formation\, turbulence\, thin film flo
w\, and hydrodynamics. These developments have eme
rged from the realization that in many such proble
ms\, exponentially small effects\, linked to the p
resence of singularities in the analytic continuat
ion of a perturbative solution\, can significantly
change the solutions of the underlying mathematic
al models.

However\, the majority of pro
blems studied have been one-dimensional in nature
(essentially ordinary differential or difference e
quations). The extension of exponential asymptotic
s to multi-dimensional problems requires some fund
amental advances in our ability to compute numeric
al analytic continuations of single- and multi-var
iate complex functions. In this talk\, I shall pre
sent the basic theory of exponential asymptotics a
nd discuss these open challenges in the context of
problems in fluid mechanics.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR