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DTSTART;TZID=America/Los_Angeles:20250204T121500
DTEND;TZID=America/Los_Angeles:20250204T131000
DTSTAMP:20260620T072250
CREATED:20250123T065341Z
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UID:3639-1738671300-1738674600@colleges.claremont.edu
SUMMARY:Quandle cohomology quiver representations (Sam Nelson\, CMC)
DESCRIPTION:Quandles are algebraic structures encoding the motion of knots through space. Quandle cocycle quivers categorify the quandle cocycle invariant. In this talk we will define a quiver representation associated to quandle cocycle quivers and use it to obtain new polynomial invariants of knots.
URL:https://colleges.claremont.edu/ccms/event/quandle-cohomology-quiver-representations-sam-nelson-cmc/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250211T121500
DTEND;TZID=America/Los_Angeles:20250211T131000
DTSTAMP:20260620T072250
CREATED:20250206T203702Z
LAST-MODIFIED:20250206T203729Z
UID:3689-1739276100-1739279400@colleges.claremont.edu
SUMMARY:On the illumination problem for convex sets (Lenny Fukshansky\, CMC)
DESCRIPTION:Let K be a compact convex set in the Euclidean space R^n. How many lights are needed to illuminate its boundary? A classical conjecture of Boltyanskii (1960) asserts that 2^n lights are sufficient to illuminate any such set K. While this is still open\, an earlier observation of Hadwiger (1945) guarantees that if K has smooth boundary\, then n+1 lights are sufficient: we only need to position these lights at the vertices of a simplex containing K in its interior. In fact\, this observation allows us to estimate how far from K these lights need to be. A more delicate problem arises if we insist on placing the lights at points of a fixed lattice L: how far from K must the lights be then? We discuss this problem\, producing a bound on this distance\, which depends on certain orthogonality and symmetry properties of the lattice in question. Interestingly\, for some nice classes of lattices\, a bound independent of L can be produced.
URL:https://colleges.claremont.edu/ccms/event/on-the-illumination-problem-for-convex-sets/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20250218T121500
DTEND;TZID=America/Los_Angeles:20250218T131000
DTSTAMP:20260620T072250
CREATED:20250212T225636Z
LAST-MODIFIED:20250218T192952Z
UID:3696-1739880900-1739884200@colleges.claremont.edu
SUMMARY:Enumerative invariants from derived categories -- part I (Reginald Anderson\, CMC)
DESCRIPTION:Following Kalashnikov\, we recover Givental’s small J function for CP^1 by viewing it as a quiver flag variety.
URL:https://colleges.claremont.edu/ccms/event/enumerative-invariants-from-derived-categories-reginald-anderson-cmc/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250225T121500
DTEND;TZID=America/Los_Angeles:20250225T131000
DTSTAMP:20260620T072250
CREATED:20250218T192927Z
LAST-MODIFIED:20250218T193027Z
UID:3709-1740485700-1740489000@colleges.claremont.edu
SUMMARY:Enumerative invariants from derived categories -- part II (Reginald Anderson\, CMC)
DESCRIPTION:Following Kalashnikov\, we recover Givental’s small J function for CP^1 by viewing it as a quiver flag variety.
URL:https://colleges.claremont.edu/ccms/event/enumerative-invariants-from-derived-categories-part-ii-reginald-anderson-cmc/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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