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DTSTART:20070311T020000
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DTSTAMP:20260130T122108
DTSTART;TZID=America/Detroit:20260213T143000
DTEND;TZID=America/Detroit:20260213T153000
SUMMARY:Workshop / Seminar:Sprout symmetric functions (Combinatorics Seminar)
DESCRIPTION:We will discuss certain sequences (R_0\, R_1\, ...) of symmetric functions that we call *sprout symmetric functions*. Many examples of sprout symmetric functions have already appeared in the literature\, connected with such topics as the symmetric function generalization of the Tutte polynomial of a graph\, Hirzebruch's L-genus\, and zeta polynomials of binomial posets. We first consider basic properties of sprout symmetric functions\, in particular\, their expansion into classical bases for symmetric functions. Especially interesting is the Schur function expansion\, which is closely related to the Edrei-Thoma theorem from the theory of total positivity. We conclude with some examples that unify and generalize results from the theory of permutation enumeration.
UID:140583-21887374@events.umich.edu
URL:https://events.umich.edu/event/140583
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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DTSTAMP:20260114T150344
DTSTART;TZID=America/Detroit:20260213T150000
DTEND;TZID=America/Detroit:20260213T160000
SUMMARY:Lecture / Discussion:AIM Seminar:  Towards parameter-free continuum models of materials
DESCRIPTION:Abstract:  The behavior of solids beyond standard linear elasticity remains a central challenge in computational mechanics\, particularly when microstructural effects and non-linear processes arise. In this context\, continuum solid mechanics has seen significant progress\, with a plethora of constitutive models developed over the past decades to address these issues. Yet\, while scalable\, such constitutive modeling approaches introduce uncertainty through phenomenological assumptions and tuning parameters. Hence\, in this talk\, we pivot towards micromechanical models that naturally capture effective emergent behavior\, with examples including granular materials and metamaterials. To recover scalability\, we explore multiscale methods that bridge micromechanics and the continuum scale\, leveraging data-driven computing or variational homogenization to arrive at parameter-free constitutive laws. Recent advances and open issues in these areas will be discussed.\n\nContact:  Silas Alben
UID:141897-21889612@events.umich.edu
URL:https://events.umich.edu/event/141897
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1084
CONTACT:
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