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-WR-CALNAME:Claremont Center for the Mathematical Sciences
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:20170312T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20171105T090000
END:STANDARD
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
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200331T150000
DTEND;TZID=America/Los_Angeles:20200331T160000
DTSTAMP:20260404T164442
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:20200225T121500
DTEND;TZID=America/Los_Angeles:20200225T131000
DTSTAMP:20260404T164442
CREATED:20190809T161558Z
LAST-MODIFIED:20200202T224846Z
UID:1355-1582632900-1582636200@colleges.claremont.edu
SUMMARY:Discrepancy theory and related questions (Dmitriy Bilyk\, University of Minnesota)
DESCRIPTION:The talk will concentrate on open questions related to the optimal bounds for the discrepancy of an $N$-point set in the $d$-dimensional unit cube. The so-called star-discrepancy measures the difference between the actual and expected number of points in axis-parallel rectangles\, and thus measures the equidistribution of the set. This notion has been explored by H. Weyl\, K. Roth\, and many others\, however many questions still remain open\, especially in higher dimensions.  We shall discuss the two main conjectures on the order of star-discrepancy and present evidence in support of each one\, as well as their connections to various areas of mathematics. In addition\, we shall talk about discrepancy in other geometrical settings (rotated rectangles\, balls\, points on the sphere etc).
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-dmitriy-bilyk-university-of-minnesota/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200218T150000
DTEND;TZID=America/Los_Angeles:20200218T160000
DTSTAMP:20260404T164442
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:20200218T150000
DTEND;TZID=America/Los_Angeles:20200218T150000
DTSTAMP:20260404T164442
CREATED:20200211T172146Z
LAST-MODIFIED:20200211T172146Z
UID:1865-1582038000-1582038000@colleges.claremont.edu
SUMMARY:Ken Millett (UCSB)
DESCRIPTION:Gordian Knots \nAccording 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/ken-millett-ucsb/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
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:20260404T164442
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:20260404T164442
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:20191119T150000
DTEND;TZID=America/Los_Angeles:20191119T160000
DTSTAMP:20260404T164442
CREATED:20191113T201432Z
LAST-MODIFIED:20191113T201432Z
UID:1644-1574175600-1574179200@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:20260404T164442
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:20260404T164442
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:20191001T150000
DTEND;TZID=America/Los_Angeles:20191001T160000
DTSTAMP:20260404T164442
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:20260404T164442
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:20190507T121500
DTEND;TZID=America/Los_Angeles:20190507T131000
DTSTAMP:20260404T164442
CREATED:20190218T180910Z
LAST-MODIFIED:20190430T205116Z
UID:1218-1557231300-1557234600@colleges.claremont.edu
SUMMARY:Notions of stability in algebraic geometry (Jason Lo\, CSUN)
DESCRIPTION:One of the main drivers of current research in geometry is the classification of Calabi-Yau threefolds.  Towards this effort\, a particular approach in algebraic geometry is via the study of stability conditions.  In this talk\, I will explain what constitutes a notion of stability in algebraic geometry\, and what the challenges are in studying them.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-jason-lo-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190430T121500
DTEND;TZID=America/Los_Angeles:20190430T131000
DTSTAMP:20260404T164442
CREATED:20190123T071945Z
LAST-MODIFIED:20190419T172528Z
UID:1149-1556626500-1556629800@colleges.claremont.edu
SUMMARY:What Did Ada Do? Digging into the Mathematical Work of Ada Lovelace (Gizem Karaali\, Pomona)
DESCRIPTION:Augusta Ada Byron King Lovelace (1815-1852) is today celebrated as the first computer programmer in history. This might be confusing to some because in 1852 there were no machines that looked like what we call computers today. In this talk I attempt to explain what Ada really did\, and delineate the mathematics involved. Bernoulli numbers will definitely come into play\, but there may also be other fun distractions along the way\, possibly including some juicy gossip about Ada’s life.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-gizem-karaali-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190423T121500
DTEND;TZID=America/Los_Angeles:20190423T131000
DTSTAMP:20260404T164442
CREATED:20190312T201357Z
LAST-MODIFIED:20190312T201357Z
UID:1273-1556021700-1556025000@colleges.claremont.edu
SUMMARY:Theory of vertex Ho-Lee-Schur graphs (Sin-Min Lee\, SJSU)
DESCRIPTION:A triple of natural numbers (a\,b\,c) is an S-set if a+b=c. I. Schur used the S-sets to show that for n >3\, there exists s(n) such that for prime p > s(n)\, x^p + y^p = z^p (mod p) has a nontrivial solution. A (p\,q)-graph G is said to be vertex Ho-Lee-Schur graph if there exists a bijection f: V(G) –> {1\,2\,…\,p} such that for each C3 subgraph of G with vertices {x\,y\,z} the triple (f(x)\,f(y)\,f(z)) is an S-set. The VHLS deficiency of G is the smallest k such that GU Nk\, where Nk is null graph\,  is a vertex Ho-Lee-Schur graph. We determine VHLS deficiency of some graphs and show that no Kuratowski type characterization of non-vertex Ho-Lee-Schur graphs. Some relation of integer partitions and this theory  is explored. We will also introduce some unsolved problems and invite the audience to  solve them.
URL:https://colleges.claremont.edu/ccms/event/theory-of-vertex-ho-lee-schur-graphs-sin-min-lee-sjsu/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190416T121500
DTEND;TZID=America/Los_Angeles:20190416T131000
DTSTAMP:20260404T164442
CREATED:20190123T071749Z
LAST-MODIFIED:20190408T231144Z
UID:1147-1555416900-1555420200@colleges.claremont.edu
SUMMARY:Chow rings of heavy/light Hassett spaces via tropical geometry (Dagan Karp\, HMC)
DESCRIPTION:In this talk\, I will try to give a fun introduction to tropical geometry and Hassett spaces\, and show how tropical geometry can be used to compute the Chow rings of Hassett spaces combinatorially. This is joint work with Siddarth Kannan and Shiyue Li.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-dagan-karp-hmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190409T121500
DTEND;TZID=America/Los_Angeles:20190409T131000
DTSTAMP:20260404T164442
CREATED:20190123T071619Z
LAST-MODIFIED:20190402T034536Z
UID:1145-1554812100-1554815400@colleges.claremont.edu
SUMMARY:Matrix multiplication: the hunt for $\omega$ (Mark Huber\, CMC)
DESCRIPTION:For centuries finding the determinant of a matrix was considered to be something that took $\Theta(n^3)$ steps.  Only in 1969 did Strassen discover that there was a faster method.  In this talk I’ll discuss his finding\, how the Master Theorem for divide-and-conquer plays into it\, and how it was shown that finding determinants\, inverting matrices\, and Gaussian elimination are the same time complexity as to matrix multiplication.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-mark-huber-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190402T121500
DTEND;TZID=America/Los_Angeles:20190402T131000
DTSTAMP:20260404T164442
CREATED:20190206T180617Z
LAST-MODIFIED:20190326T042503Z
UID:1196-1554207300-1554210600@colleges.claremont.edu
SUMMARY:Fibonacci and Lucas analogues of binomial coefficients and what they count (Curtis Bennett\, CSULB)
DESCRIPTION:A Fibonomial is what is obtained when you replace each term of the binomial coefficients $ {n \choose k}$ by the corresponding Fibonacci number.  For example\, the Fibonomial \n$${ 6\brace 3 } = \frac{F_6 \cdot F_5 \cdot \dots \cdot F_1}{(F_3\cdot F_2 \cdot F_1)(F_3\cdot F_2 \cdot F_1)} = \frac{8\cdot5\cdot3\cdot2\cdot1\cdot1}{(2\cdot1\cdot1)(2\cdot1\cdot1)} = 60$$ \nsince the first six Fibonacci numbers are 1\, 1\, 2\, 2\, 5\, and 8.  Curiously the Fibonomials are always integers\, raising the combinatorial question:  what do they count?  In this talk we introduce and provide a little history of the Fibonomials.  We then provide a simple object the Fibonomials enumerate.  We will use this new object to prove various Fibonomial analogues of standard identities on binomial coefficients and discuss further generalizations including the Lucanomials.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-curtis-bennett-csulb/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190326T121500
DTEND;TZID=America/Los_Angeles:20190326T131000
DTSTAMP:20260404T164442
CREATED:20190224T030836Z
LAST-MODIFIED:20190304T190113Z
UID:1236-1553602500-1553605800@colleges.claremont.edu
SUMMARY:Refinements of metrics (Wai Yan Pong\, CSUDH)
DESCRIPTION:I will talk about a few graph-theoretic metrics then introduce the concept of refinements on a class of functions that include all metrics. As a case study\, we will construct various refinements on the shortest-path distance. Consequently\, we obtain a few “better” versions of the Erdos number. In the course of our investigation\, we realized various construction of metrics can be unified under a rather natural concept that we called monotonic monoid norm. This is a joint work with Kayla Lock and Alex Wittmond.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-csudh/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190312T121500
DTEND;TZID=America/Los_Angeles:20190312T131000
DTSTAMP:20260404T164442
CREATED:20181221T200102Z
LAST-MODIFIED:20181221T232930Z
UID:991-1552392900-1552396200@colleges.claremont.edu
SUMMARY:Indiana Pols Forced to Eat Humble Pi: The Curious History of an Irrational Number (Edray Goins\, Pomona)
DESCRIPTION:In 1897\, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle\, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana’s the claim to fame for his discovery.  About the time the debate about the bill concluded\, Purdue University professor Clarence A. Waldo serendipitously came across the claimed discovery\, and pointed out its mathematical impossibility to the lawmakers.  It had only be shown just 15 years before\, by the German mathematician Ferdinand von Lindemann\, that it was impossible to square the circle because $\pi$ is an irrational number.  This fodder became ignominiously known as the “Indiana Pi Bill” as Goodwin’s result would force $\pi = 3.2$.\n\nIn this talk\, we review this humorous history of the irrationality of $\pi$.  We introduce a method to compute its digits\, present Lindemann’s proof of its irrationality (following a simplification by Miklos Laczkovich)\, discuss the relationship with the Hermite-Lindemann-Weierstrass theorem\, and explain how Edwin J. Goodwin came to his erroneous conclusion in the first place.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-edray-goins-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190305T121500
DTEND;TZID=America/Los_Angeles:20190305T131000
DTSTAMP:20260404T164442
CREATED:20190123T071437Z
LAST-MODIFIED:20190227T165818Z
UID:1143-1551788100-1551791400@colleges.claremont.edu
SUMMARY:Nonvanishing minors and uncertainty principles for Fourier analysis over  finite fields (Daniel Katz\, CSUN)
DESCRIPTION:Chebotarev’s theorem on roots of unity says that every minor of a discrete Fourier transform matrix of prime order is nonzero. We present a generalization of this result that includes analogues for discrete cosine and discrete sine transform matrices as special cases.  This leads to a generalization of the Biro-Meshulam-Tao uncertainty principle to functions with symmetries that arise from certain group actions\, with some of the simplest examples being even and odd functions.  This new uncertainty principle gives a bound that is sharp and\, for some classes of functions\, stronger than that of Biro-Meshulam-Tao.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190226T121500
DTEND;TZID=America/Los_Angeles:20190226T131000
DTSTAMP:20260404T164442
CREATED:20190112T015039Z
LAST-MODIFIED:20190218T190711Z
UID:1047-1551183300-1551186600@colleges.claremont.edu
SUMMARY:When is the product of Siegel eigenforms an eigenform? (Jim Brown\, Occidental College)
DESCRIPTION:Modular forms are ubiquitous in modern number theory.  For instance\, showing that elliptic curves are secretly modular forms was the key to the proof of Fermat’s Last Theorem.  In addition to number theory\, modular forms show up in diverse areas such as coding theory and particle physics.  Roughly speaking\, a modular form is a complex-valued function defined on the complex upper half-plane that satisfies a large number of symmetries.  A modular form has two invariants: weight and level.  If one fixes a weight and level\, the collection of modular forms of that weight and level form a finite-dimensional complex vector space.  One has a collection of operators on these spaces referred to as Hecke operators.  A natural question is if one takes two eigenforms of these operators and multiplies them\, when is the product still an eigenform?  It was shown in independent work by Duke and Ghate that there is a finite list of pairs of eigenforms whose product is again an eigenform.  In this talk we will report on the case when one replaces modular forms with the more general case of Siegel modular forms.  This is work that was partially conducted during an REU in summer 2018.  No prior familiarity with modular forms is assumed.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-jim-brown-occidental-college/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190219T121500
DTEND;TZID=America/Los_Angeles:20190219T131000
DTSTAMP:20260404T164442
CREATED:20190123T071222Z
LAST-MODIFIED:20190203T022044Z
UID:1141-1550578500-1550581800@colleges.claremont.edu
SUMMARY:Knowledge\, strategies\, and know-how (Pavel Naumov\, CMC)
DESCRIPTION:An agent comes to a fork in a road. There is a sign that says that one of the two roads leads to prosperity and another to death. The agent must take the fork\, but she does not know which road leads where. Does the agent have a strategy to get to prosperity? On one hand\, since one of the roads leads to prosperity\, such a strategy clearly exists. On the other\, the agent does not know what the strategy is. \nIf a coalition of agents has a strategy\, it knows that it has a strategy\, and it also knows what this strategy is\, then we say that the coalition has a know-how strategy. In this talk I will discuss several of my recent papers on modal logics that describe the interplay between coalition knowledge\, strategies\, and know-how strategies.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-pavel-naumov-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190212T121500
DTEND;TZID=America/Los_Angeles:20190212T131000
DTSTAMP:20260404T164442
CREATED:20181227T132155Z
LAST-MODIFIED:20190120T184543Z
UID:994-1549973700-1549977000@colleges.claremont.edu
SUMMARY:Subgraph statistics (Benny Sudakov\, ETH Zurich)
DESCRIPTION:Given integers $k\,l$  and a graph $G$\, how large can be the fraction of $k$-vertex subsets of $G$ which span exactly $l$ edges?  The systematic study of this very natural  question  was recently initiated by Alon\, Hefetz\, Krivelevich and Tyomkyn who also proposed several interesting conjectures on this topic. \n\nIn this talk we discuss a theorem which proves one of their conjectures and implies an asymptotic version of another.  We also make some first steps towards analogous question for hypergraphs. Our proofs involve some Ramsey-type arguments\, and a number of different probabilistic tools\, such as polynomial anticoncentration inequalities and  hypercontractivity. \nJoint work with M. Kwan and T. Tran.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-benny-sudakov-eth-zurich/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190205T121500
DTEND;TZID=America/Los_Angeles:20190205T131000
DTSTAMP:20260404T164442
CREATED:20181205T171033Z
LAST-MODIFIED:20190123T223504Z
UID:963-1549368900-1549372200@colleges.claremont.edu
SUMMARY:Lattices from group frames and vertex transitive graphs (Lenny Fukshansky\, CMC)
DESCRIPTION:Tight frames in Euclidean spaces are widely used convenient generalizations of orthonormal bases. A particularly nice class of such frames is generated as orbits under irreducible actions of finite groups of orthogonal matrices: these are called irreducible group frames. Integer spans of rational irreducible group frames form Euclidean lattices with some very nice geometric properties\, called strongly eutactic lattices. We discuss this construction\, focusing on an especially interesting infinite family in arbitrarily large dimensions\, which comes from vertex transitive graphs. We demonstrate several examples of such lattices from graphs that exhibit some rather fascinating properties. This is joint work with D. Needell\, J. Park and J. Xin.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-lenny-fukshansky-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190129T121500
DTEND;TZID=America/Los_Angeles:20190129T131000
DTSTAMP:20260404T164442
CREATED:20181130T222530Z
LAST-MODIFIED:20181130T222530Z
UID:961-1548764100-1548767400@colleges.claremont.edu
SUMMARY:Discrete compressed sensing: lattices and frames (Josiah Park\, Georgia Tech)
DESCRIPTION:Lattice valued vector systems have taken an important role in packing\, coding\, cryptography\, and signal processing problems.  In compressed sensing\, improvements in sparse recovery methods can be reached with an additional  assumption that the signal of  interest is lattice  valued\, as demonstrated by A.  Flinth  and G. Kutyniok. Equiangular  tight  frames are  particular systems  of unit  vectors  with minimal  coherence\,  a measure of how well distributed the vectors are\, and have provable guarantees for recovery of sparse vectors in standard methods.  The determination whether real equiangular tight frames have integer span on a lattice has been given a characterization within two papers by A. Bottcher\, L. Fukshansky\, one with S. R. Garcia\, H. Maharaj and D. Needell.  Here the corresponding question is considered for the complex case and several families are demonstrated to have either integer span on a lattice or not.  In addition\, it is demonstrated that a real Parseval tight frame can have integer span on a lattice if and only if the inner products appearing in the system are rational.  (Collaboration with L. Fukshansky\, D. Needell\, and Y. Xin)
URL:https://colleges.claremont.edu/ccms/event/discrete-compressed-sensing-lattices-and-frames-josiah-park-georgia-tech/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190122T121500
DTEND;TZID=America/Los_Angeles:20190122T131000
DTSTAMP:20260404T164442
CREATED:20190112T013635Z
LAST-MODIFIED:20190113T053629Z
UID:1045-1548159300-1548162600@colleges.claremont.edu
SUMMARY:Niebrzydowski tribrackets and algebras (Sam Nelson\, CMC)
DESCRIPTION:In this talk we will survey recent work on Niebzydowski Tribrackets and Niebrydowski Algebras\, algebraic structures related to region colorings the planar complements of knots and trivalent spatial graphs.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sam-nelson-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181211T121500
DTEND;TZID=America/Los_Angeles:20181211T131000
DTSTAMP:20260404T164442
CREATED:20181017T000951Z
LAST-MODIFIED:20181205T171813Z
UID:915-1544530500-1544533800@colleges.claremont.edu
SUMMARY:The Bateman—Horn conjecture II:  applications (Stephan Garcia\, Pomona)
DESCRIPTION:We begin with a review of the Bateman—Horn conjecture\, which sheds light on the intimate relationship between polynomials and prime numbers.  In this expository talk\, we survey a host of applications of the conjecture.  For example\, Landau’s conjecture\, the twin prime conjecture\, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture.  Moreover\, the conjecture also illuminates the mysterious patterns observed in the Ulam spiral.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-stephan-garcia-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181204T121500
DTEND;TZID=America/Los_Angeles:20181204T131000
DTSTAMP:20260404T164442
CREATED:20180817T150812Z
LAST-MODIFIED:20181116T225428Z
UID:441-1543925700-1543929000@colleges.claremont.edu
SUMMARY:Sperner's lemma: generalizations and applications (Oleg Musin\, UT Rio Grande Valley)
DESCRIPTION:The classical Sperner –  KKM (Knaster – Kuratowski – Mazurkiewicz) lemma has many applications  in combinatorics\, algorithms\, game theory and mathematical economics. In this talk we consider generalizations of this lemma as well as Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions. These generalizations of Sperner’s lemma rely on homotopy invariants of covers  that in fact are obstructions for extending a cover of a subspace A in X to a cover of  X.
URL:https://colleges.claremont.edu/ccms/event/tba-2/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181127T121500
DTEND;TZID=America/Los_Angeles:20181127T131000
DTSTAMP:20260404T164442
CREATED:20181002T061007Z
LAST-MODIFIED:20190115T082646Z
UID:892-1543320900-1543324200@colleges.claremont.edu
SUMMARY:Weil sums of binomials: properties and applications (Daniel Katz\, CSUN)
DESCRIPTION:We consider sums in which an additive character of a finite field F is applied to a binomial whose individual terms (monomials) become permutations of F when regarded as functions.  These Weil sums characterize the nonlinearity of power permutations of interest in cryptography.  They also tell us about the correlation of linear recursive sequences over finite fields that are used in digital communications and remote sensing.  In these applications\, one is interested in the spectrum of Weil sum values that are obtained as the coefficients in the binomial are varied.  We discuss topics of enduring interest: Archimedean and non-Archimedean bounds on the sums\, the number of values in the spectrum\, and the presence or absence of zero in the spectrum.  We indicate some important open problems and discuss progress that has been made on them.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-talk-by-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181113T121500
DTEND;TZID=America/Los_Angeles:20181113T131000
DTSTAMP:20260404T164442
CREATED:20180912T174329Z
LAST-MODIFIED:20181105T225953Z
UID:551-1542111300-1542114600@colleges.claremont.edu
SUMMARY:Cayley digraphs of matrix rings over finite fields (Yesim Demiroglu\, HMC)
DESCRIPTION:In this talk we use the unit-graphs and the special unit-digraphs on matrix rings to show that every n x n nonzero matrix over F_q can be written as a sum of two SL_n-matrices when n>1. We compute the eigenvalues of these graphs in terms of Kloosterman sums and study their spectral properties; and prove that if X is a subset of Mat_2 (F_q) with size |X| > (2 q^3 \sqrt{q})/(q – 1)\, then X contains at least two distinct matrices whose difference has determinant $\alpha$ for any $\alpha \in F_q^*$. Using this result we also prove a sum-product type result: if $A\,B\,C\,D \subseteq F_q$ satisfy $\sqrt[4]{|A||B||C||D|}= \Omega (q^{0.75})$ as q tends to infinity\, then $(A – B)(C – D)$ equals all of $F_q$. In particular\, if A is a subset of F_q with cardinality $|A| > \frac{3}{2} q^{3/4}$\, then the subset $(A – A) (A – A)$ equals all of $F_q$. We also recover a classical result: every element in any finite ring of odd order can be written as the sum of two units. This talk should be accessible to undergraduates with some background in linear algebra.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-yesim-demiroglu-hmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR