BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UM//UM*Events//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:America/Detroit
TZURL:http://tzurl.org/zoneinfo/America/Detroit
X-LIC-LOCATION:America/Detroit
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20070311T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20071104T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260319T084032
DTSTART;TZID=America/Detroit:20260407T160000
DTEND;TZID=America/Detroit:20260407T170000
SUMMARY:Lecture / Discussion:Colloquium: Intrinsic dual symplectic dynamics in quasiperiodic spectral theory
DESCRIPTION:Quasiperiodic Schrödinger operators are simple deterministic models of quantum motion that nevertheless exhibit strikingly complicated behavior: fractal spectra\, metal–insulator transitions\, and an unexpected sharp sensitivity to arithmetic properties of parameters. The central example is the almost Mathieu operator\, whose study led to celebrated results such as the Ten Martini problem. But that model is highly special\,  and for a long time it was unclear whether these phenomena reflected genuine universality or exceptional symmetry.\n\nI will discuss recent work showing that these spectral phenomena are robust and universal in a natural class. The key new insight is that one can uncover intrinsic low-dimensional symplectic dynamics hidden inside the problem\, even when the standard dual cocycle formalism is no longer available. This leads to robust results on sharp arithmetic spectral transitions and the Ten Martini problem.\n\nThe talk will be aimed at a broad audience and will focus on the ideas and the emerging conceptual picture.
UID:137450-21880291@events.umich.edu
URL:https://events.umich.edu/event/137450
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1360
CONTACT:
END:VEVENT
END:VCALENDAR