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DTSTART;TZID=America/Los_Angeles:20260420T161500
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UID:4067-1776701700-1776705300@colleges.claremont.edu
SUMMARY:The Secret Life of Turbulent Fluids (Vincent Martinez\, Caltech)
DESCRIPTION:Abstract: Turbulence influences our lives in a multitude of ways\, ranging from the mundane (when we stir milk into our coffee) to the spectacular (the formation of galaxies). It is a great achievement of the human intellect that we are able to locate fundamental mechanisms shared by phenomenon with such a dramatic difference in scale and subsequently study them abstractly through mathematics. This talk will present some of the ways for how fluids and turbulent motion can be studied mathematically and introduce a few interesting problems\, both theoretical and practical\, of ongoing scientific relevance.
URL:https://colleges.claremont.edu/ccms/event/the-secret-life-of-turbulent-fluids-vincent-martinez-caltech/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20260421T121500
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DTSTAMP:20260415T053435Z
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UID:3972-1776773700-1776777000@colleges.claremont.edu
SUMMARY:Diophantine avoidance\, primitive elements\, and normal basis theorem (Sehun Jeong\, CMC)
DESCRIPTION:Diophantine avoidance has been studied by several authors in recent years. This refers to effective results on existence of points of bounded size in a given algebraic set avoiding some specified subsets. The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K. From the proof of this theorem\, it is clear that not only there are infinitely many such primitive elements in K\, but in fact most elements in K are primitive. One natural question to ask is about finding a primitive element of small “size”\, where we use a height function to measure size. We discuss the conjecture of Ruppert and known results in this direction\, as well as our recent work on this problem. In addition\, we provide the standard and effective version of normal basis theorem\, obtaining an explicit bound in terms of the degree and discriminant of K\, where K/Q is a Galois extension. At the end\, we discuss a particularly good bound in the case of prime degree. This is joint work with Lenny Fukshansky.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sehun-jeong-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20260424T110000
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DTSTAMP:20260422T175653Z
CREATED:20260110T235232Z
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UID:3957-1777028400-1777032900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Manuel Reyes (UCI)
DESCRIPTION:CCMS Colloquium invites you to a talk by Manuel Reyes (UCI)\n\n \nTitle: When XY is not equal to YX\n \nAbstract:  The commutative property of algebra states that the order of multiplication makes no difference: XY = YX. This property is so ingrained in our experience that it becomes difficult to imagine how algebra would function without it! If the commutative property fails\, we step into the territory of noncommutative algebra. Where and why does noncommutative algebra occur? How different is it from our ordinary commutative algebra? This talk will be an introduction to noncommutative algebra\, with several examples and a glimpse into current research problems.\n \nBio: Manny Reyes is an Associate Professor of Mathematics at UC Irvine. His research lies at the intersection of several topics including ring theory\, noncommutative geometry\, category theory\, and quantum foundations. After studying at Westmont College and UC Berkeley\, he was a postdoctoral fellow at UC San Diego and a faculty member for several years at Bowdoin College before returning to California. He strives to teach in a way that invites anyone to discover a passion for mathematics\, regardless of their past experiences. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-7/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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