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DTSTART;TZID=America/Los_Angeles:20180911T121500
DTEND;TZID=America/Los_Angeles:20180911T131000
DTSTAMP:20260409T172913
CREATED:20180822T052223Z
LAST-MODIFIED:20180926T174358Z
UID:451-1536668100-1536671400@colleges.claremont.edu
SUMMARY:Small representations of integers by integral quadratic form (Lenny Fukshansky\, CMC)
DESCRIPTION:Given an isotropic integral quadratic form which assumes a value t\, we investigate the distribution of integer points at which this value is assumed. Building on the previous work about the distribution of small-height zeros of quadratic forms\, we produce bounds on height of points outside of some algebraic sets in a quadratic space at which the form assumes the value t. Our bounds on height are explicit in terms of heights of the form\, the space\, the algebraic set and the value t. Joint work with W. K. Chan. \nThe Fall 2018 organizational meeting for the ANTC seminar will be held at noon in the same room\, preceding the talk.
URL:https://colleges.claremont.edu/ccms/event/small-representations-of-integers-by-integral-quadratic-form/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20180918T121500
DTEND;TZID=America/Los_Angeles:20180918T131000
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CREATED:20180822T051451Z
LAST-MODIFIED:20180926T174121Z
UID:449-1537272900-1537276200@colleges.claremont.edu
SUMMARY:Inversions for reduced words (Sami Assaf\, USC)
DESCRIPTION:The number of inversions of a permutation is an important statistic that arises in many contexts\, including as the minimum number of simple transpositions needed to express the permutation and\, equivalently\, as the rank function for weak Bruhat order on the symmetric group. In this talk\, I’ll describe an analogous statistic on the reduced expressions for a given permutation that turns the Coxeter graph into a ranked poset with unique maximal element. This statistic simplifies greatly when shifting our paradigm from reduced expressions to balanced tableaux\, and I’ll use this simplification to give an elementary proof computing the diameter of the Coxeter graph for the long permutation. \nThis talk is elementary and assumes no background other than passing familiarity with the symmetric group.
URL:https://colleges.claremont.edu/ccms/event/tba-3/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20180925T121500
DTEND;TZID=America/Los_Angeles:20180925T131000
DTSTAMP:20260409T172913
CREATED:20180911T213219Z
LAST-MODIFIED:20180926T151534Z
UID:531-1537877700-1537881000@colleges.claremont.edu
SUMMARY:Quandle coloring quivers (Sam Nelson\, CMC)
DESCRIPTION:Given a finite quandle $X$\, a set $S \subset \mathrm{Hom}(X\,X)$ of quandle endomoprhisms\, and an oriented knot or link $L$\, we construct a quiver-valued invariant of oriented knots and links. This quiver categorifies the quandle counting invariant in the most literal sense and can be used to define many enhancements of the counting invariant. This is joint work with Harvey Mudd College student Karina Cho.
URL:https://colleges.claremont.edu/ccms/event/talk-by-sam-nelson-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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