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DTSTART;TZID=America/Los_Angeles:20190910T121500
DTEND;TZID=America/Los_Angeles:20190910T131000
DTSTAMP:20260419T120023
CREATED:20190522T000934Z
LAST-MODIFIED:20190909T032954Z
UID:1333-1568117700-1568121000@colleges.claremont.edu
SUMMARY:Frobenius problem over number fields (Lenny Fukshansky\, CMC)
DESCRIPTION:The classical Frobenius problem asks for the largest integer not representable as a non-negative integer linear combination of a relatively prime integer n-tuple. This problem and its various generalizations have been studied extensively in combinatorics\, number theory\, algebra\, theoretical computer science and probability theory. In this talk\, we will consider a reformulation of this problem in the context of number fields\, which leads to some arithmetic questions about semigroups of algebraic integers and height functions. This is joint work with CMC student Edward Shi.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-mauricio-gomez-lopez-univ-oregon/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190917T121500
DTEND;TZID=America/Los_Angeles:20190917T131000
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CREATED:20190910T234527Z
LAST-MODIFIED:20190912T055110Z
UID:1520-1568722500-1568725800@colleges.claremont.edu
SUMMARY:Introduction to theory of Euclid graphs (Sin-Min Lee\, SJSU)
DESCRIPTION:In Euclidean geometry\, the sum of  two sides of any  triangle is greater than the third side. We  introduce this idea to labeling of graphs. A (p\,q)-graph G=(V\,E) is said to be in Euclid(0) if there exists a bijection f: V(G) –> {1\,…\,p} such that for each induced C3 subgraph with vertices {v1\,v2\,v3} with f(v1)<f(v2)<f(v3) we have \nf(v1)+f(v2)>f(v3) . \nFor k > 1\, G is in Euclid(k) class of graphs if there exits smallest k such that G U Nk in Euclid(0)\, where Nk is the null graph with k isolated points. We exhibit infinitely many graphs in Euclid(k) for each k. The talk is target to general audiences. Several open problems will posed for future research. The report is the joint work with several high school\, undergraduate students and researchers.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sin-min-lee-sjsu/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190924T121500
DTEND;TZID=America/Los_Angeles:20190924T131000
DTSTAMP:20260419T120023
CREATED:20190813T023810Z
LAST-MODIFIED:20190917T034004Z
UID:1360-1569327300-1569330600@colleges.claremont.edu
SUMMARY:Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk\, Brown University)
DESCRIPTION:An “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics\, as well as helps to explore new areas of mathematics. After describing the basic structure of Adinkras\, I will discuss some of these interesting interactions between mathematics and physics.This talk is intended for a general mathematics audience; undergraduate students are welcome.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-jordan-kostiuk-brown-university/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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