BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/Los_Angeles
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20180311T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20181104T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20190310T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20191103T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20200308T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20201101T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20210314T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20211107T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20220313T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20221106T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20230312T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20231105T090000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220322T150000
DTEND;TZID=America/Los_Angeles:20220322T160000
DTSTAMP:20260416T103719
CREATED:20230913T075943Z
LAST-MODIFIED:20230913T075943Z
UID:3229-1647961200-1647964800@colleges.claremont.edu
SUMMARY:Towards Knot Homology for 3-Manifolds (Aaron Mazel-Gee\, California Institute of Technology)
DESCRIPTION:The Jones polynomial is an invariant of knots in R^3. Following a proposal of Witten\, it was extended to knots in 3-manifolds by Reshetikhin-Turaev using quantum groups. Khovanov homology is a categorification of the Jones polynomial of a knot in R^3\, analogously to how ordinary homology is a categorification of the Euler characteristic of a space. It is a major open problem to extend Khovanov homology to knots in 3-manifolds. In this talk\, I will explain forthcoming work towards solving this problem\, joint with Leon Liu\, David Reutter\, Catharina Stroppel\, and Paul Wedrich. Roughly speaking\, our contribution amounts to the first instance of a braiding on 2-representations of a categorified quantum group. More precisely\, we construct a braided (infinity\,2)-category that simultaneously incorporates all of Rouquier’s braid group actions on Hecke categories in type A\, articulating a novel compatibility among them.
URL:https://colleges.claremont.edu/ccms/event/towards-knot-homology-for-3-manifolds-aaron-mazel-gee-california-institute-of-technology/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220308T150000
DTEND;TZID=America/Los_Angeles:20220308T160000
DTSTAMP:20260416T103719
CREATED:20230913T075742Z
LAST-MODIFIED:20230913T075742Z
UID:3228-1646751600-1646755200@colleges.claremont.edu
SUMMARY:Systematically Detecting Flypes and Hexagonal Mosaics (Hugh Howards\, Wake Forest University)
DESCRIPTION:We talk about building knots using mosaics which were as introduced as a way of modeling quantum knots by Lomonaco and Kauffman and a newer variant\, hexagonal mosaics\, introduced by Jennifer McLoud-Mann. In the process we find a new bound on crossing numbers for hexagonal mosaics and find an infinite family of knots which do not achieve their hexagonal mosaic number while also in a projection which achieves their crossing number\, extending a result of Lew Ludwig et al. In the process we introduce a new tool which makes it easier to systematically recognize when two knots differ by a sequence of Flypes (for example\, giving a process to recognize that the Perko Pair were in fact the same knot). No background with mosaics or flypes is necessary. This is joint work with Jiong Li* and Xiotian Liu* (* indicates undergraduate students).
URL:https://colleges.claremont.edu/ccms/event/systematically-detecting-flypes-and-hexagonal-mosaics-hugh-howards-wake-forest-university/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220301T150000
DTEND;TZID=America/Los_Angeles:20220301T160000
DTSTAMP:20260416T103719
CREATED:20230913T075541Z
LAST-MODIFIED:20230913T075541Z
UID:3226-1646146800-1646150400@colleges.claremont.edu
SUMMARY:Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman\, California State University\, Chico)
DESCRIPTION:(Joint with Ichihara\, Jong\, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries\, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of knots as well as the SL(2\,\C) Casson invariant.
URL:https://colleges.claremont.edu/ccms/event/two-bridge-knots-admit-no-purely-cosmetic-surgeries-thomas-mattman-california-state-university-chico/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220215T150000
DTEND;TZID=America/Los_Angeles:20220215T160000
DTSTAMP:20260416T103719
CREATED:20230913T075335Z
LAST-MODIFIED:20230913T075335Z
UID:3225-1644937200-1644940800@colleges.claremont.edu
SUMMARY:On Invariants for Surface-Links in Entropic Magmas via Marked Graph Diagrams (Seonmi Choi\, Kyungpook Natl U\, Korea)
DESCRIPTION:M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman bracket polynomial. The normalized bracket polynomial is obtained from the Kauffman bracket polynomial by the multiplication of indeterminate and it is an ambient isotopy invariant for links. In this talk\, we reformulate the multiplication by using a map from the set of framed links to a Kauffman bracket magma in order that P is invariant for links in 3-space. We define a generalization of a Kauffman bracket magma\, which is called a marked Kauffman bracket magma. We find the conditions to be invariant under Yoshikawa moves except the first one and use a map from the set of admissible marked graph diagrams to a marked Kauffman bracket magma to obtain the invariant for surface-links in 4-space.
URL:https://colleges.claremont.edu/ccms/event/on-invariants-for-surface-links-in-entropic-magmas-via-marked-graph-diagrams-seonmi-choi-kyungpook-natl-u-korea/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220208T150000
DTEND;TZID=America/Los_Angeles:20220208T160000
DTSTAMP:20260416T103719
CREATED:20230913T074942Z
LAST-MODIFIED:20230913T074942Z
UID:3223-1644332400-1644336000@colleges.claremont.edu
SUMMARY:Experimental Knot Music v2 (Sam Nelson\, CMC)
DESCRIPTION:In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets.
URL:https://colleges.claremont.edu/ccms/event/experimental-knot-music-v2-sam-nelson-cmc/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20260416T103719
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:2356-1635260400-1635264000@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:20260416T103719
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195957Z
UID:2355-1634050800-1634054400@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:20260416T103719
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T230121Z
UID:2354-1633446000-1633449600@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:20260416T103719
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225958Z
UID:2339-1632841200-1632844800@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:20260416T103719
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225937Z
UID:2338-1632236400-1632240000@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:20200331T150000
DTEND;TZID=America/Los_Angeles:20200331T160000
DTSTAMP:20260416T103719
CREATED:20200227T003039Z
LAST-MODIFIED:20200227T003039Z
UID:1906-1585666800-1585670400@colleges.claremont.edu
SUMMARY:Martin Bobb (UT Austin)
DESCRIPTION:TBA
URL:https://colleges.claremont.edu/ccms/event/martin-bobb-ut-austin/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200218T150000
DTEND;TZID=America/Los_Angeles:20200218T160000
DTSTAMP:20260416T103719
CREATED:20200127T151809Z
LAST-MODIFIED:20200211T172222Z
UID:1797-1582038000-1582041600@colleges.claremont.edu
SUMMARY:Kenneth Millett (University of California\, Santa Barbara)
DESCRIPTION:Gordian Knots According to the legend of Phrygian Gordium\, Alexander the Great cut the “Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are several descriptions of the precise nature of the Gordian Knot and Alexander’s action\, an explicit mathematical treatment (the theory of thick knots) and the reasons for its contemporary interest will be discussed.  The first simple example of such a Gordian Knotted Structure supported by a rigorous mathematical analysis will be presented.  
URL:https://colleges.claremont.edu/ccms/event/kenneth-millett-university-of-california-santa-barbara/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, 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:20200204T150000
DTEND;TZID=America/Los_Angeles:20200204T160000
DTSTAMP:20260416T103719
CREATED:20191219T182743Z
LAST-MODIFIED:20200121T223340Z
UID:1697-1580828400-1580832000@colleges.claremont.edu
SUMMARY:Tommaso Cremaschi (USC)
DESCRIPTION:Title: Volumes and filling collections of multicurves\n\n\n\n\nAbstract: In this talk we will be concerned with links L in a Seifert-Fibered space N such that their projection to the base surface is a collection of curves G in minimal position. After stating a hyperbolization result\, for the complement of L\, in terms of G we will study the volume of their complement and give combinatorial asymptotics. We will be particularly interested in the case where N is the projective tangent bundle of a hyperbolic surface. This is joint work with J.A. Rodrigues-Migueles and A. Yarmola.
URL:https://colleges.claremont.edu/ccms/event/tommaso-cremaschi-usc/
LOCATION:CA
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200128T150000
DTEND;TZID=America/Los_Angeles:20200128T160000
DTSTAMP:20260416T103719
CREATED:20191214T212832Z
LAST-MODIFIED:20200121T204015Z
UID:1695-1580223600-1580227200@colleges.claremont.edu
SUMMARY:Stefano Vidussi (UCRiverside)
DESCRIPTION:Title: The BNS invariant of the fundamental group of a surface bundle over a surface. \nAbstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups\, showing in particular that (with obvious exceptions) they algebraically fiber. As a corollary\, we show that for “most” bundles these groups are not coherent.
URL:https://colleges.claremont.edu/ccms/event/stefano-vidussi-ucriverside/
LOCATION:CA
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191210T150000
DTEND;TZID=America/Los_Angeles:20191210T160000
DTSTAMP:20260416T103719
CREATED:20190918T164409Z
LAST-MODIFIED:20190918T164409Z
UID:1556-1575990000-1575993600@colleges.claremont.edu
SUMMARY:Ryan Blair (Cal State Long Beach)
DESCRIPTION:Abstract TBA
URL:https://colleges.claremont.edu/ccms/event/ryan-blair-cal-state-long-beach/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, 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:20191203T150000
DTEND;TZID=America/Los_Angeles:20191203T160000
DTSTAMP:20260416T103719
CREATED:20190912T011606Z
LAST-MODIFIED:20190918T164252Z
UID:1536-1575385200-1575388800@colleges.claremont.edu
SUMMARY:Dan Douglas (USC)
DESCRIPTION:Abstract TBA
URL:https://colleges.claremont.edu/ccms/event/dan-douglas-usc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, 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:20191112T143000
DTEND;TZID=America/Los_Angeles:20191112T160000
DTSTAMP:20260416T103719
CREATED:20191009T144155Z
LAST-MODIFIED:20191009T144710Z
UID:1604-1573569000-1573574400@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:20191105T150000
DTEND;TZID=America/Los_Angeles:20191105T160000
DTSTAMP:20260416T103719
CREATED:20191024T001849Z
LAST-MODIFIED:20191024T001849Z
UID:1622-1572966000-1572969600@colleges.claremont.edu
SUMMARY:Paper Strip Knots (David Bachman)
DESCRIPTION:I will discuss joint work with Jim Hoste\, where we prove that a unique folded strip of paper can follow any polygonal knot with odd stick number. In the even stick number case there are either infinitely many\, or none.
URL:https://colleges.claremont.edu/ccms/event/paper-strip-knots-david-bachman/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, 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:20191008T150000
DTEND;TZID=America/Los_Angeles:20191008T160000
DTSTAMP:20260416T103719
CREATED:20190909T230001Z
LAST-MODIFIED:20190919T032450Z
UID:1499-1570546800-1570550400@colleges.claremont.edu
SUMMARY:Topology Seminar: Mauricio Gomez Lopez (U. Oregon)
DESCRIPTION:Title: Cobordism Categories and Spaces of Manifolds. \nAbstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom\, which provided the first link between manifolds and homotopy theory. In more recent years\, there has been much focus on cobordism categories. These play a fundamental role in the study of topological quantum field theories and automorphism groups of manifolds.  A fundamental result in this field is the theorem of Galatius\, Madsen\, Tillmann\, and Weiss\, which describes the homotopy type of the classifying spaces of smooth cobordism categories. Galatius and Randal-Williams later simplified the proof of this result with the use of spaces of manifolds and scanning techniques. Besides giving an overview of this field of research\, I will discuss the analogs of the theorem of Galatius\, Madsen\, Tillmann\, and Weiss for topological and PL manifolds. The topological case is joint work with Alexander Kupers.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-mauricio-gomez-lopez-u-oregon/
LOCATION:CA
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191001T150000
DTEND;TZID=America/Los_Angeles:20191001T160000
DTSTAMP:20260416T103719
CREATED:20190825T192823Z
LAST-MODIFIED:20190906T223333Z
UID:1372-1569942000-1569945600@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:20260416T103719
CREATED:20190909T215940Z
LAST-MODIFIED:20190909T215940Z
UID:1497-1568732400-1568736000@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:20260416T103719
CREATED:20190330T132122Z
LAST-MODIFIED:20190330T132122Z
UID:1289-1556193600-1556199000@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/
LOCATION:CA
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:20260416T103719
CREATED:20190330T131139Z
LAST-MODIFIED:20190330T132139Z
UID:1287-1555588800-1555594200@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:20190411T121500
DTEND;TZID=America/Los_Angeles:20190411T133000
DTSTAMP:20260416T103719
CREATED:20190307T175206Z
LAST-MODIFIED:20190308T211344Z
UID:1262-1554984900-1554989400@colleges.claremont.edu
SUMMARY:Geometry of quotient varieties and the algebra of conformal blocks (Han-Bom Moon Fordham University)
DESCRIPTION:An important question in classical representation theory is when the tensor product of two irreducible representations has another representation as a factor. In this talk\, I will introduce a quantum generalization of this question and explain how we may relate this question to geometry of quotients of certain complex manifolds. This is joint work with Sang-Bum Yoo.
URL:https://colleges.claremont.edu/ccms/event/han-bom-moon-fordham-university/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190307T120000
DTEND;TZID=America/Los_Angeles:20190307T133000
DTSTAMP:20260416T103719
CREATED:20190205T180911Z
LAST-MODIFIED:20190205T180911Z
UID:1194-1551960000-1551965400@colleges.claremont.edu
SUMMARY:Non-existence of epimorphisms between certain genus two handlebody-knot groups (Ryo Nikkuni\, Tokyo Woman's Christian University)
DESCRIPTION:For two genus $g$ handlebody-knots $H_{1}$ and $H_{2}$\, we denote $H_{1} \geq H_{2}$ if there exists an epimorphism from the fundamental group of the handlebody-knot complement of $H_{1}$ onto the one of $H_{2}$. In the case of $g = 1$\, this order is a partial order on the set of prime knots and has been determined up to $11$ crossings by Kitano-Suzuki and Horie-Kitano-Matsumoto-Suzuki. In this talk\, we consider the case of $g = 2$ and exhibit a lot of ordered pairs of irreducible genus $2$ handlebody-knots in the Ishii-Kishimoto-Moriuchi-Suzuki table up to $6$ crossings\, each of which does not admit this order. This is a joint work with Y. Ozawa and M. Suzuki.
URL:https://colleges.claremont.edu/ccms/event/non-existence-of-epimorphisms-between-certain-genus-two-handlebody-knot-groups-ryo-nikkuni-tokyo-womans-christian-university/
LOCATION:CA
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190228T120000
DTEND;TZID=America/Los_Angeles:20190228T133000
DTSTAMP:20260416T103719
CREATED:20190127T185703Z
LAST-MODIFIED:20190220T150331Z
UID:1171-1551355200-1551360600@colleges.claremont.edu
SUMMARY:Applying Quantum Representations of Mapping Class Groups (Wade Bloomquist\, UCSB)
DESCRIPTION:One foundational pillar of low dimensional topology is the connection between link invariants and 3-manifold invariants.  One generalization of this has been given by Reshetikhin and Turaev to a surgery theory for colored ribbon graphs.  Then to complete the analogy rather than 3-manifold invariants we now have a 2+1 dimensional topology quantum field theory (TQFT).  For this talk we will only be focusing on one corner of a TQFT\, in particular the representations of mapping class groups which are afforded (called quantum representations).  We will first go through a brief construction of these representations\, focusing on how colored ribbon graphs give rise to a basis.  Then we will dive into some applications of these representations both in recovering classical topology and in a proposal for a topological quantum computing protocol.  A strong effort will be made to keep things relatively self contained with as many pictures as possible.
URL:https://colleges.claremont.edu/ccms/event/applying-quantum-representations-of-mapping-class-groups-wade-bloomquist-ucsb/
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:20190221T120000
DTEND;TZID=America/Los_Angeles:20190221T133000
DTSTAMP:20260416T103719
CREATED:20190123T234443Z
LAST-MODIFIED:20190123T234443Z
UID:1163-1550750400-1550755800@colleges.claremont.edu
SUMMARY:A nonorientable version of the Milnor Conjecture (Cornelia A. Van Cott\, USF)
DESCRIPTION:In 1968\, Milnor famously conjectured that the smooth 4-genus of the torus knot T(p\,q) is given by (p-1)(q-1)/2. This conjecture was first verified by Kronheimer and Mrowka in 1993 and has received several other proofs since then. In this talk\, we discuss a nonorientable analogue of this conjecture\, first formulated by Josh Batson. We prove the conjecture for infinite families of of torus knots\, using tools from knot Floer homology. We also connect the problem to the world of continued fractions\, which gives an alternative perspective on the problem. This is joint work with Stanislav Jabuka.
URL:https://colleges.claremont.edu/ccms/event/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190131T123000
DTEND;TZID=America/Los_Angeles:20190131T133000
DTSTAMP:20260416T103719
CREATED:20190127T185244Z
LAST-MODIFIED:20190127T185524Z
UID:1168-1548937800-1548941400@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:20260416T103719
CREATED:20190113T145840Z
LAST-MODIFIED:20190115T051329Z
UID:1066-1548331200-1548336600@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
END:VCALENDAR