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DTSTAMP:20260930T173806
DTSTART;TZID=America/Detroit:20261005T160000
DTEND;TZID=America/Detroit:20261005T170000
SUMMARY:Presentation:ISRMT Seminar:  Extremal Problems Motivated by Focusing NLS Condensates
DESCRIPTION:Abstract: Soliton gases for integrable systems is a rapidly developing new area in the theory of nonlinear waves. For a given spectral support set\, a soliton gas of maximal average intensity is called soliton condensate. A spectral support set for a fNLS soliton condensate is often represented by a finite collection of points (anchors) E in the upper half plane H\, connected with each other and/or with the real axis by some set of (Schwarz symmetrical) arcs. Given a set of anchors E\, a natural question is to find a collection of such arcs that produces fNLS soliton condensate of minimal average intensity. That leads to a modification of the well-known Chebotarev’s continuum problem\, which consists in finding a continuum K ⊂ C of minimal logarithmic capacity that contains a given set of anchors E ⊂ C. In this talk\, we discuss our solution to the modified Chebotarev’s problem\, where E and K are subsets of the upper half plane H and where we minimize the Dirichlet energy of H \ K instead of the logarithmic capacity of K. This is a joint work with Marco Bertola.
UID:152055-21912772@events.umich.edu
URL:https://events.umich.edu/event/152055
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1866
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20261002T130230
DTSTART;TZID=America/Detroit:20261012T160000
DTEND;TZID=America/Detroit:20261012T170000
SUMMARY:Livestream / Virtual:ISRMT Seminar:  On Fredholm Pfaffians and Riemann-Hilbert problems
DESCRIPTION:Abstract:  In this talk\, I will illustrate how classes of Fredholm Pfaffians\, which can describe the eigenvalue distributions for orthogonal and symplectic matrix ensembles\, can be computed in terms of canonical\, auxiliary Riemann-Hilbert problems.\nThis is done by first algebraically manipulating the kernel of the Fredholm Pfaffian and then relating the resulting Pfaffian to a Riemann-Hilbert problem\, assuming its main kernel is either of additive Hankel composition or truncated Wiener-Hopf type. One can then find asymptotic results for the Fredholm Pfaffian as a natural consequence of the Rieman-Hilbert problem characterisation.\nThis talk is based on my paper with Thomas Bothner\, currently available in preprint on the arXiv: https://arxiv.org/abs/2511.23362. \n\n*To request access to the Zoom room\, please contact Nathan Hayford at nhayford [ at ] umich.edu.*
UID:152449-21913751@events.umich.edu
URL:https://events.umich.edu/event/152449
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20260929T150501
DTSTART;TZID=America/Detroit:20261026T160000
DTEND;TZID=America/Detroit:20261026T170000
SUMMARY:Livestream / Virtual:Long time asymptotics of the generalized soliton gas for the mKdV equation
DESCRIPTION:We analyze a new class of solutions of the modified KdV equation introduced by Dyachenko\, Zakharov\, and Zakharov\, and which can be interpreted as a soliton gas.  These solutions are characterized by a Riemann-Hilbert problem which arises as the limit $N\to \infty$ of a sequence of $2N$-soliton RH problems\, where the solitons display two different triangularity in the jumps. The limiting RH problem belongs to a novel class of problems\, where the jump matrices do not have any zero entry (as opposed to the classical upper/lower triangular setting).\n We show that the initial profile of such a gas solution is approaching a cnoidal wave solution for $x\to \pm \infty$ with different phase shifts\, and we establish an asymptotic description of the gas of solitons for large times that is valid over the entire spatial domain\, in terms of Jacobi elliptic functions\, with slowly modulated phase shifts as time varies from $-\infty$ to $+\infty$.\nThis is a joint work with Ken McLaughlin (Tulane U.) and Robert Jenkins (UCF).\n\n*To request access to the Zoom room\, please contact Nathan Hayford at nhayford [ at ] umich.edu.*
UID:153062-21915026@events.umich.edu
URL:https://events.umich.edu/event/153062
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20260928T205020
DTSTART;TZID=America/Detroit:20261116T160000
DTEND;TZID=America/Detroit:20261116T170000
SUMMARY:Livestream / Virtual:ISRMT Seminar:  Title TBA
DESCRIPTION:Abstract: TBA\n*To request access to the Zoom room\, please contact Nathan Hayford at nhayford [ at ] umich.edu*
UID:153025-21914934@events.umich.edu
URL:https://events.umich.edu/event/153025
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260929T085739
DTSTART;TZID=America/Detroit:20261207T160000
DTEND;TZID=America/Detroit:20261207T170000
SUMMARY:Presentation:ISRMT Seminar: Title TBA
DESCRIPTION:Abstract: TBA
UID:153029-21914939@events.umich.edu
URL:https://events.umich.edu/event/153029
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1866
CONTACT:
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