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TZID:America/Toronto
X-LIC-LOCATION:America/Toronto
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;INTERVAL=1;BYDAY=2SU;BYMONTH=3
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TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;INTERVAL=1;BYDAY=1SU;BYMONTH=11
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BEGIN:VEVENT
UID:mathcal-5@shafikov.ca
DTSTAMP:19980119T070000Z
SUMMARY:Lectures on Multiparameter Persistence I: Density-sensitive bifiltrations in TDA (Michael Lesnick - SUNY Albany)
DTSTART;TZID=America/Toronto:20260505T110000
DTEND;TZID=America/Toronto:20260505T120000
DESCRIPTION:
LOCATION:MC 204
END:VEVENT
BEGIN:VEVENT
UID:mathcal-6@shafikov.ca
DTSTAMP:19980119T070000Z
SUMMARY:Lectures on Multiparameter Persistence II: Lp-metrics on multiparameter persistence modules (Michael Lesnick - SUNY Albany)
DTSTART;TZID=America/Toronto:20260506T110000
DTEND;TZID=America/Toronto:20260506T120000
DESCRIPTION:
LOCATION:MC 204
END:VEVENT
BEGIN:VEVENT
UID:mathcal-7@shafikov.ca
DTSTAMP:19980119T070000Z
SUMMARY:Lectures on Multiparameter Persistence III: Limit computation via minimal initial functors (Michael Lesnick - SUNY Albany)
DTSTART;TZID=America/Toronto:20260507T110000
DTEND;TZID=America/Toronto:20260507T120000
DESCRIPTION:
LOCATION:MC 204
END:VEVENT
BEGIN:VEVENT
UID:mathcal-13@shafikov.ca
DTSTAMP:19980119T070000Z
SUMMARY:Koszul linearization and invariants of non-formal cdga models (Alex Suciu - Northeastern University)
DTSTART;TZID=America/Toronto:20260513T140000
DTEND;TZID=America/Toronto:20260513T150000
DESCRIPTION: I will present a method for computing resonance varieties\,
 Alexander invariants\, and Chen ranks of spaces that are not formal 
 but admit finite-type cdga models. The method is based on Koszul
 linearization\, which replaces the classical algebraic constructions
 underlying Alexander-type invariants with functorial algebraic objects
 built directly from the cdga\, thereby shifting the role of the
 cohomology ring to the full model.
 <p>
 A key feature of this approach is the existence of functorial spectral
 sequences that interpolate between invariants computed from cohomology
 and those arising from the cdga model\, with higher differentials
 encoding iterated Massey products. This framework yields extensions of
 several results from the formal setting\, including the fact that
 cohomology controls the first-order behavior at the origin of the
 resonance varieties\, as well as explicit formulas for infinitesimal
 Alexander invariants and Chen ranks in terms of the model.
 Discrepancies between cohomological and model-theoretic 
 invariants thus provide computable obstructions to formality.
 <p>
 The constructions are functorial with respect to cdga morphisms 
 and provide effective tools for computation. Applications include
 nilpotent Lie algebras and elliptic configuration spaces\, as well 
 as consequences for detecting non-formality.
LOCATION:MC 107
END:VEVENT
BEGIN:VEVENT
UID:mathcal-13@shafikov.ca
DTSTAMP:19980119T070000Z
SUMMARY:A unified approach to some discrete homotopy theories for graphs (Anton Dochtermann - Texas State University)
DTSTART;TZID=America/Toronto:20260513T153000
DTEND;TZID=America/Toronto:20260513T163000
DESCRIPTION:Inspired by the elementary collapses/expansions and simple homotopy theory of CW-complexes\, we consider various notions of discrete homotopy defined by making prescribed local changes on a graph (and digraph). This includes the I-homotopy type of a graph introduced by Chen\, Yau\, and Yeh\; the s-homotopy of graphs introduced by Boulet\, Fieux\, and Jouve\; as well as the $\\times$-homotopy of graphs introduced by the author. We seek to place these constructions in a uniform setting\, and also relate them to cylinder objects and internal hom structures in the category of graphs. We will see how the notion of a homomorphism complex (which has applications to obstruction theories for graph homomorphisms) plays a role in understanding the various theories. Parts of this are joint work with Takahiro Matsushita and Anurag Singh.
LOCATION:MC 107
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