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BEGIN:VEVENT
DTSTAMP:20260908T113212
DTSTART;TZID=America/Detroit:20260921T160000
DTEND;TZID=America/Detroit:20260921T170000
SUMMARY:Workshop / Seminar:GLNT+Dynamics: TBA
DESCRIPTION:TBD
UID:151704-21912002@events.umich.edu
URL:https://events.umich.edu/event/151704
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3096
CONTACT:
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DTSTAMP:20260920T134620
DTSTART;TZID=America/Detroit:20260921T160000
DTEND;TZID=America/Detroit:20260921T170000
SUMMARY:Presentation:ISRMT Seminar:  Difference equations of average entropies
DESCRIPTION:Exact cumulants of entanglement entropies of random state ensembles have traditionally been studied within the random matrix framework. In this talk\, we propose an alternative approach based on the intrinsic connection to integrable systems. The central idea is to embed entropic quantities into tau functions satisfying Toda-type lattice equations\, which in turn yield linear difference equations for their averages. Directly solving the difference equations recovers exact entropy formulas in the literature. The integrable systems approach bypasses the case-by-case\, ensemble-dependent derivations required by random matrix methods. The approach also suggests a possible route towards unified and more efficient higher-order cumulant calculations by exploring integrable hierarchies.\nThis is joint work with Youyi Huang\, Lu Wei and Peter Forrester.\n\n*To request access to the Zoom room\, please contact Nathan Hayford at nhayford [ at ] umich.edu.*
UID:152177-21913180@events.umich.edu
URL:https://events.umich.edu/event/152177
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location - 1866
CONTACT:
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