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DTSTART;TZID=America/Los_Angeles:20240325T161500
DTEND;TZID=America/Los_Angeles:20240325T171500
DTSTAMP:20260625T042736
CREATED:20240330T173049Z
LAST-MODIFIED:20240330T173059Z
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SUMMARY:Ami Radunskaya (Pomona College)
DESCRIPTION:Title:  Can a function tell us how immune cells kill? \nSpeaker: Prof. Ami Radunskaya (Pomona College\, Claremont CA) \nAbstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells.  Mathematical models of tumor-immune interactions must describe the proliferation\, recruiting and killing rates of immune cells.  Earlier work surprisingly showed that the functions describing the kill rates distinguish between two types of immune cells.  The mechanisms behind these differences have been a mystery\, however.  In an attempt to unravel this mystery\, we have created a cell-based fixed-lattice model that simulates immune cell and tumor cell interaction involving tumor recognition and two killing mechanisms.  These mechanisms play a big role in the effectiveness of many cancer immunotherapies. Results from model simulations\, along with theories developed by ecologists\, can help to illuminate which mechanisms are at work in different conditions.
URL:https://colleges.claremont.edu/ccms/event/ami-radunskaya-pomona-collegeo/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T121500
DTEND;TZID=America/Los_Angeles:20240326T131000
DTSTAMP:20260625T042736
CREATED:20231215T050545Z
LAST-MODIFIED:20240312T172417Z
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SUMMARY:Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan\, UC Irvine)
DESCRIPTION:How many sublattices of Zn have index at most X?  If we choose such a lattice L at random\, what is the probability that Zn/L is cyclic?  What is the probability that its order is odd?  Now let R be a random subring of Zn.  What is the probability that Zn/R is cyclic?  We will see how these questions fit into the study of random groups in number theory and combinatorics.  We will discuss connections to Cohen-Lenstra heuristics for class groups of number fields\, sandpile groups of random graphs\, and cokernels of random matrices over the integers.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-nathan-kaplan-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T150000
DTEND;TZID=America/Los_Angeles:20240326T160000
DTSTAMP:20260625T042736
CREATED:20240128T230426Z
LAST-MODIFIED:20240308T230839Z
UID:3365-1711465200-1711468800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Qing Zhang (UC Santa Barbara) \nTitle: Super-modular categories from near-group centers\n\nAbstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:  $\Gamma_\theta<\mathrm{SL}(2\, \mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen\, Cho- Kim-Seo-You computed modular data from congruence representations of $\Gamma_\theta $ using the congruence subgroup theorem for super-modular categories of  Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of  Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\Z/6$ and $\Z/2\times \Z/4$. The methods we develop have more general applications\, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-qing-zhang-uc-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240327T161500
DTEND;TZID=America/Los_Angeles:20240327T173000
DTSTAMP:20260625T042736
CREATED:20240326T203434Z
LAST-MODIFIED:20240326T203434Z
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SUMMARY:A Survey of Diophantine Equations (Edray Goins\, Pomona College)
DESCRIPTION:Title: A Survey of Diophantine Equations \nSpeaker: ​Edray Herber Goins\, Professor of Mathematics and Statistics\, Pomona College \nAbstract: There are many beautiful identities involving positive integers. For example\, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$\, and even a famous story involving G.~H.~Hardy and Srinivasa Ramanujan involves $1^3 + 12^3 = 9^3 + 10^3$. But how does one find such identities?  Around the third century\, the Greek mathematician Diophantus of Alexandria introduced a systematic study of integer solutions to polynomial equations. In this talk\, we’ll focus on various types of so-called Diophantine Equations\, discussing such topics as Pythagorean Triples\, Pell’s Equations\, Elliptic Curves\, and Fermat’s Last Theorem. \n\n\n\n\nEdray Herber Goins is Professor of Mathematics and Statistics at Pomona College. He has worked as a researcher at both Harvard and the National Security Agency; and has taught at both Caltech and Purdue. Professor Goins has published over 25 journal articles in areas such as applied mathematics\, graph theory\, number theory\, and representation theory; and on topics such as Diophantine equations\, elliptic curves\, and African Americans in mathematics. He has given nearly 300 invited addresses on his research\, acted as a referee for nearly 20 different journals in mathematics\, served on dozens of panels for the National Science Foundation (NSF)\, and been awarded more than $1\,370\,000 in external funding.  Goins currently maintains the website “Mathematicians of the African Diaspora (MAD Pages)”\, and runs a federally-funded Research Experience for Undergraduates (REU) titled Pomona Research in Mathematics Experience (PRiME).
URL:https://colleges.claremont.edu/ccms/event/a-survey-of-diophantine-equations-edray-goins-pomona-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240328T163000
DTEND;TZID=America/Los_Angeles:20240328T173000
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CREATED:20240324T163045Z
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SUMMARY:Analysis seminar: Therese Basa Landry (UCSB)
DESCRIPTION:Title: Developments in Noncommutative Fractal Geometry\n\nAbstract:  As a noncommutative fractal geometer\, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry.  At the quantum scale\, the wave function of a particle\, but not its path in space\, can be studied.  Riemannian methods often rely on smooth paths to encode the geometry of a space.  Noncommutative geometry generalizes analysis on manifolds by replacing this requirement with operator algebraic data.  These same “point-free” techniques can also be used to study the geometry of classically pathological spaces like fractals.  The 2016 Nobel Prize in Physics was awarded for work on Hofstadter’s butterfly\, which is a fractal that describes for theoretical condensed matter physicists the allowed energy levels for electrons confined to a crystalline atomic lattice as a function of the magnetic field applied to the system.  By expanding the formalism of fractal geometry to include the mathematical language of quantum theory\, developments in noncommutative fractal geometry can give both mathematicians and physicists the tools to gain insights about quantum behaviors in solids and any new materials made possible by these phenomena.  Other directions in noncommutative fractal geometry will also be discussed.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-therese-basa-landry-ucsb/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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