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DTSTART;TZID=America/Los_Angeles:20211011T161500
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SUMMARY:Applied Math Seminar -- Leif Zinn-Brooks (HMC/Scripps)
DESCRIPTION:Title: Circadian Rhythms in Multinucleate Cells \nAbstract: \nCircadian rhythms are among the most researched cellular processes\, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate cells. I’ll analyze a mathematical model for circadian oscillations in a multinucleate cell\, motivated by mRNA and protein data from the filamentous fungus Neurospora crassa. Stochastic simulations of this model illuminate the importance of mRNA-protein phase separation\, in which mRNAs are kept close to the nucleus in which they were transcribed\, while proteins can diffuse freely across the cell. This phase separation allows for a robust oscillator to be assembled with very low mRNA counts. I’ll also discuss how the labor of transcribing mRNAs is divided between nuclei\, both when nuclei are evenly spaced across the cell and when they are not. Division of this labor can be regulated by controlling the amount of cytoplasmic volume available to each nucleus. Our results indicate that there is potential for emergent organization and extreme mRNA efficiency in multinucleate cells.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-leif-zinn-brooks-hmc-scripps/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20211012T123000
DTEND;TZID=America/Los_Angeles:20211012T132000
DTSTAMP:20260411T131424
CREATED:20210831T181118Z
LAST-MODIFIED:20211006T002703Z
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SUMMARY:New norms on matrices induced by polynomials (Angel Chavez\, Pomona)
DESCRIPTION:The complete homogeneous symmetric (CHS) polynomials can be used to define a  family of norms on Hermitian matrices. These ‘CHS norms’ are peculiar in the sense that they depend only on the eigenvalues of a matrix and not its singular values (as opposed to the Ky-Fan and Schatten norms). We will first give a general overview behind the construction of these norms (as well as their extensions to all n x n complex matrices). The construction and validation of these norms will take us on a tour of probability theory\, convexity analysis\, partition combinatorics and trace polynomials in noncommuting variables. We then discuss open problems and potential for future work. This talk is based on joint work with Konrad Aguilar\, Stephan Garcia and Jurij Volčič.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-angel-chavez-pomona/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20211012T150000
DTEND;TZID=America/Los_Angeles:20211012T160000
DTSTAMP:20260411T131424
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
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DTSTART;TZID=America/Los_Angeles:20211013T163000
DTEND;TZID=America/Los_Angeles:20211013T174500
DTSTAMP:20260411T131424
CREATED:20210829T221306Z
LAST-MODIFIED:20210829T223025Z
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SUMMARY:What we talk about when we talk about math (Prof. Lillian Pierce)
DESCRIPTION:Title: What we talk about when we talk about math\nSpeaker: Prof. Lillian Pierce\, Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University \nAbstract: In 1864\, the mathematician J. J. Sylvester wrote: \n\nMay not Music be described as the Mathematics of the sense\, Mathematics as Music of the reason?…Thus the musician feels Mathematics\, the mathematician thinks Music\,— Music the dream\, Mathematics the working life.\n\nWhat does it feel like to do mathematics? Can we share the dream rather than the working life? In fact\, the experience of doing mathematics probably feels different to each of us. Mathematics is famous for being abstract. Each of us develops a way to represent those abstractions in our own head. Can we describe what we are doing? Can we see some universal patterns in how we feel as we do mathematics? We will share a wide array of mathematical stories\, to study what mathematics does for us\, and what we do when we engage with it. \n\nLillian Pierce began her study of mathematics in earnest as an undergraduate at Princeton\, where she graduated as valedictorian. After studying in Oxford as a Rhodes Scholar\, she returned to Princeton for her PhD\, and then took up fellowships at the Institute for Advanced Study\, the University of Oxford\, and the Hausdorff Center for Mathematics in Bonn\, before moving to Duke University. Her work has received an NSF CAREER grant\, a Sloan Research Fellowship\, an AWM-Sadosky Prize\, a Joan and Joseph Birman Fellowship\, and a Presidential Early Career Award for Scientists and Engineers. Pierce is currently the Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University\, a Bonn Research Fellow\, and a Fellow of the American Mathematical Society.
URL:https://colleges.claremont.edu/ccms/event/what-we-talk-about-when-we-talk-about-math-prof-lillian-pierce/
LOCATION:Zoom
CATEGORIES:Colloquium
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