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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260521T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-kaveh
SUMMARY:Algebraic and Enumerative combinatorics seminar - Kaveh Mousavand-L
 eft\nmodularity and extremality of some (finite and infinite) lattices via
 \nrepresentation theory
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Kaveh Mousavand\n\nAFFILIATION:\n Okinawa Institute 
 of Science and Technology\n\nLOCATION:\n MC 5479\n\nABSTRACT:Motivated by 
 the representation theory of finite-dimensional\nalgebras\, we recently in
 vestigated the notions of left modularity and\nextremality in (completely)
  semidistributive lattices. For lattices of\ntorsion classes\, we obtain a
  simultaneous characterization of left\nmodularity and extremality in term
 s of the behavior of certain\nindecomposable modules\, called bricks. Our 
 results extend the\nclassical theory beyond the realm of finite lattices\,
  while remaining\nwithin the framework of (completely) semidistributive la
 ttices. Time\npermitting\, I will also discuss extensions of these results
  to\narbitrary infinite lattices that are completely semidistributive and\
 nweakly atomic. This talk is based on recent joint work with Sota Asai\,\n
 Osamu Iyama\, and Charles Paquette.\n\nTHERE WILL BE A PRE-SEMINAR PRESENT
 ING RELEVANT BACKGROUND AT\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM IN
  MC 5417.
DTSTAMP:20260512T210642Z
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