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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211207T150000
DTEND;TZID=America/Los_Angeles:20211207T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001965-1638889200-1638892800@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-12-07/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211130T150000
DTEND;TZID=America/Los_Angeles:20211130T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001964-1638284400-1638288000@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-30/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211116T150000
DTEND;TZID=America/Los_Angeles:20211116T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001963-1637074800-1637078400@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-16/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211109T150000
DTEND;TZID=America/Los_Angeles:20211109T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001962-1636470000-1636473600@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-09/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211102T150000
DTEND;TZID=America/Los_Angeles:20211102T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001961-1635865200-1635868800@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-02/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001960-1635260400-1635264000@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-10-26/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211012T150000
DTEND;TZID=America/Los_Angeles:20211012T160000
DTSTAMP:20211011T195957Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195957Z
UID:10001959-1634050800-1634054400@colleges.claremont.edu
SUMMARY:Topology Seminar -- Matthew vonAllmen
DESCRIPTION:Title: Untying Knots with Neural Nets \nAbstract: Neural networks can transform 3-dimensional data in a manner reminiscent of an ambient isotopy. With some modifications\, a neural network can be trained to manipulate the vertices of a knot while respecting its topological structure. We use the discrete Mo ̈bius energy as a loss function to incentivize a neural network to smooth out curves in a knot\, without performing illegal operations. By introducing unconventional neural network layers\, we are able to untwist highly tangled polygonal knots until a human can visually recognize whether they are topologically equivalent to the unknot.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-12/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211005T150000
DTEND;TZID=America/Los_Angeles:20211005T160000
DTSTAMP:20210914T230121Z
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T230121Z
UID:10001958-1633446000-1633449600@colleges.claremont.edu
SUMMARY:Topology Seminar -- Jim Hoste
DESCRIPTION:Jim Hoste will do an interpretive knot dance.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-05/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210928T150000
DTEND;TZID=America/Los_Angeles:20210928T160000
DTSTAMP:20210914T225958Z
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225958Z
UID:10001957-1632841200-1632844800@colleges.claremont.edu
SUMMARY:Topology Seminar -- Robert Bowden
DESCRIPTION:Robert Bowden will tell us fantastic things he did at PSU.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210921T150000
DTEND;TZID=America/Los_Angeles:20210921T160000
DTSTAMP:20210914T225937Z
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225937Z
UID:10001956-1632236400-1632240000@colleges.claremont.edu
SUMMARY:Topology Seminar -- Sam Nelson
DESCRIPTION:Sam Nelson will wow us with his maths.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191119T150000
DTEND;TZID=America/Los_Angeles:20191119T160000
DTSTAMP:20191113T201432Z
CREATED:20191113T201432Z
LAST-MODIFIED:20191113T201432Z
UID:10001955-1574175600-1574179200@colleges.claremont.edu
SUMMARY:Topological index and square plat projections (Puttipong Pongtanapaisan)
DESCRIPTION:The bridge distance and the topological index are measures of the complexity of the bridge splitting of a knot. In 2016\, Johnson and Moriah gave a formula for the bridge distance of the canonical bridge sphere of a knot in a highly twisted plat projection in terms of the height and the width of the plat. Essentially\, if the plat is high\, then the bridge distance is high and the topological index equals one. Not much is known about the topological index of the bridge sphere when the plat is not high. In this talk\, I will show that if the plat is square\, then the topological index equals two. This is joint work with Daniel Rodman.
URL:https://colleges.claremont.edu/ccms/event/topological-index-and-square-plat-projections-puttipong-pongtanapaisan/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191112T143000
DTEND;TZID=America/Los_Angeles:20191112T160000
DTSTAMP:20191009T144710Z
CREATED:20191009T144155Z
LAST-MODIFIED:20191009T144710Z
UID:10001872-1573569000-1573574400@colleges.claremont.edu
SUMMARY:Topology Triple-Header!
DESCRIPTION:This triple-header of topology talks will include three speakers: \nFirst\, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1\,1)-diagrams. \nIn this talk\, we show that the dual (1\, 1)-diagram of a (1\, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram)\nD(a\, 0\, 1\, r) with 1 ≤ r < 2a + 1 and gcd(2a + 1\, r) = 1 is given by D(1/2r\, 0\, 2a+1-1/r\, 1/r) when 1/r is even and by D((2a+1−r)/2\, 0\, r −1\, r −1) otherwise\,  where 1/r is the multiplicative inverse of r modulo 2a + 1. We also present explicitly how to derive a Schubert normal form of a 2-bridge knot from the dual (1\, 1)-diagram of D(a\, 0\, 1\, r) using weakly K−reducibility of (1\, 1)-\ndecompositions. \nSecond\, Suhyeon Jeong from Pusan National University will speak about Psybrackets\, Singular Knots and Pseudoknots.: \nIn 2010\, a pseudodiagram was introduced by Ryo Hanaki. A pseudodiagram is a knot or link diagram where we ignore over/under information at some crossings of the diagram. This definition is motivated by applications in molecular biology such as modeling knotted DNA\, where data often comes inconclusive with respect to which crossing it represents. In 2012\, Allison Henrich\, Rebecca Hoberg\, Slavik Jablan\, Lee Johnson\, Elizabeth Minten\, and Ljiljana Radvić extended this idea to a pseudoknot and pseudolink. A pseudoknot (or pseudolink ) is an equivalence class of pseudodiagrams modulo pseudo-Reidemeister moves. In this talk\, we would like to introduce a psybracket consisting of two maps <\, \, > c \, <\, \, > p : X × X × X → X satisfying some axioms derived from pseudo-Reidemeister moves. By using this\, we define an invariant\, called the psybracket counting invariant\, of oriented singular knots and links and pseudolinks. This is a joint work with Jieon Kim and Sam Nelson. \nFinally\, Minju Seo from Pusan National University will speak about Quandle coloring quivers of surface-links.:  \nIn 2018\, K. Cho and S. Nelson introduced the quandle coloring quiver of an oriented knot or link diagram\, which is a quiver structure on the set of quandle colorings of a knot or link diagram. Also\, they gave a new invariant\, called the in-degree quandle quiver polynomial\, from the quiver structure. A surface-link is a closed 2-manifold smoothly embedded in R 4 or S 4 . A surface-link can be presented by a marked graph diagram with specific condition\, and a marked graph diagram is a generalization of a knot or link diagram. In this talk\, we introduce a quiver structure on the set of quandle colorings of a marked graph diagram\, and compute the in-degree quandle quiver polynomials of some marked graph diagrams. This is a joint work with J. Kim and S. Nelson.
URL:https://colleges.claremont.edu/ccms/event/topology-triple-header/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191001T150000
DTEND;TZID=America/Los_Angeles:20191001T160000
DTSTAMP:20190906T223333Z
CREATED:20190825T192823Z
LAST-MODIFIED:20190906T223333Z
UID:10001869-1569942000-1569945600@colleges.claremont.edu
SUMMARY:Topology Seminar: Jesse Levitt (USC)
DESCRIPTION:Title: Understanding Structure in the Single Variable Knot Polynomials \nAbstract: \nWe examine the dimensionality and internal structure of the aggregated data produced by the Alexander\, Jones\, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots\, including over 10 million distinct examples\, we find that the Jones data is well described as a three dimensional manifold\, the Z0 data as a single two dimensional manifold and the Alexander data as a collection of two dimensional manifolds. We confirm each of these structural results using two independent ‘big data’ techniques. The ability to consider knots in this manner illuminates several interesting relationships that I hope to discuss at the conclusion of the talk. This collects joint work with Mustafa Hajij and Radmila Sazdanovic.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-jesse-levitt-usc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190917T150000
DTEND;TZID=America/Los_Angeles:20190917T160000
DTSTAMP:20190909T215940Z
CREATED:20190909T215940Z
LAST-MODIFIED:20190909T215940Z
UID:10001870-1568732400-1568736000@colleges.claremont.edu
SUMMARY:Topology Seminar: Sam Nelson (CMC)
DESCRIPTION:Title: Biquandle Brackets and Knotoids \nAbstract: Biquandle brackets are a type of quantum enhancement of the  biquandle counting invariant for oriented knots and links\, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this talk we use biquandle brackets to enhance the biquandle counting matrix invariant of knotoids. This is joint work with Neslihan Gugumcu (Izmir Institute of Technology\, Izmir\, Turkey) and Natsumi Oyamaguchi (Shumei University\, Tokyo\, Japan).
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-sam-nelson-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190425T120000
DTEND;TZID=America/Los_Angeles:20190425T133000
DTSTAMP:20190330T132122Z
CREATED:20190330T132122Z
LAST-MODIFIED:20190330T132122Z
UID:10001868-1556193600-1556199000@colleges.claremont.edu
SUMMARY:A (Z⊕Z)-family of knot quandles (Jim Hoste\, Pitzer College)
DESCRIPTION:Suppose K is an oriented knot in a 3-manifold M with regular neighborhood N (K). For each element γ ∈ π 1 (∂N (K)) we define a quandle Q γ (K; M) which generalizes the concept of the fundamental quandle of a knot. In particular\, when γ is the meridian of K\, we obtain the fundamental quandle. The collection of all such quandles gives a (Z⊕Z)-family of quandles. If K is a knot in M and γ is a primitive element\, then we show that there exists a knot K’ in a 3-manifold M’ such that Q γ (K; M ) ∼= Q μ (K’ ; M’) where μ is the meridian of K’ . Starting with a partially framed link L in the 3-sphere where the framed components give a surgery description of the manifold M and a single unframed component represents K we can derive a similar surgery description of K’ in M’ . Using results of Fenn and Rourke\, we may then use this description of K’ to record a presentation of the quandle Q γ (K; M). We describe a number of examples of these quandles for knots\nin various manifolds.
URL:https://colleges.claremont.edu/ccms/event/a-z%e2%8a%95z-family-of-knot-quandles-jim-hoste-pitzer-college/
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190418T120000
DTEND;TZID=America/Los_Angeles:20190418T133000
DTSTAMP:20190330T132139Z
CREATED:20190330T131139Z
LAST-MODIFIED:20190330T132139Z
UID:10001867-1555588800-1555594200@colleges.claremont.edu
SUMMARY:Enhancements of the quandle coloring invariant for knots (Karina Cho\, Harvey Mudd College)
DESCRIPTION:Quandles are algebraic structures that play nicely with knots. The multiplicative structure of finite quandles gives us a way to “color” knot diagrams\, and the number of such colorings for a given knot and quandle is called the quandle coloring invariant. We strengthen this invariant by examining the relationships between the colorings\, which are given by endomorphisms. This can be visualized using a directed graph that we call the quandle coloring quiver. We will show that the quandle coloring quiver is a strict enhancement of the quandle coloring invariant and discuss further enhancements of this invariant that arise from quandle cohomology. This work is a senior thesis project under the advising of Sam Nelson.
URL:https://colleges.claremont.edu/ccms/event/enhancements-of-the-quandle-coloring-invariant-for-knots-karina-cho-harvey-mudd-college/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190131T123000
DTEND;TZID=America/Los_Angeles:20190131T133000
DTSTAMP:20190127T185524Z
CREATED:20190127T185244Z
LAST-MODIFIED:20190127T185524Z
UID:10001693-1548937800-1548941400@colleges.claremont.edu
SUMMARY:The Roger-Yang Arc Algebra (Helen Wong\, CMC)
DESCRIPTION:  \nBased on geometric considerations\, J. Roger and T. Yang in 2014 defined a version of the Kauffman bracket skein algebra for punctured surfaces that includes arcs going from puncture to puncture. We’ll provide a brief survey of known results about this arc algebra. In particular\, I’d like to mention a recent algebraic result whose proof uses  “generalized” corner coordinates to describe arcs on a triangulated surface. This is joint work with Han-bom Moon. \n 
URL:https://colleges.claremont.edu/ccms/event/the-roger-yang-arc-algebra/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190124T120000
DTEND;TZID=America/Los_Angeles:20190124T133000
DTSTAMP:20190115T051329Z
CREATED:20190113T145840Z
LAST-MODIFIED:20190115T051329Z
UID:10001864-1548331200-1548336600@colleges.claremont.edu
SUMMARY:Simplicial Complexes\, Configuration Spaces\, and "Chromatic" Invariants (Andrew Cooper\, NC State)
DESCRIPTION:Given a space $X$\, the configuration space $F(X\,n)$ is the space of possible ways to place $n$ points on $X$\, so that no two occupy the same position. But what if we allow some of the points to coincide? \nThe natural way to encode the allowed coincidences is as a simplicial complex $S$. I will describe how the configuration space $M(S\,X)$ obtained in this way gives rise to polynomial and homological invariants of $S$\, how those invariants are related to the cohomology ring $H^*(X)$\, and what this has to do with the topology of spaces of maps into $X$. \nI will also mention some potential applications of this structure to problems arising from international relations and economics. \nThis is joint work with Vin de Silva\, Radmila Sazdanovic\, and Robert J Carroll
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-1-24-2019-andrew-cooper-nc-state/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
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