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DTSTART;TZID=America/Chicago:20240906T140000
DTEND;TZID=America/Chicago:20240906T153000
DTSTAMP:20260419T170728
CREATED:20240826T192017Z
LAST-MODIFIED:20240828T152606Z
UID:10016166-1725631200-1725636600@uwm.edu
SUMMARY:Colloquium: Dr. Rafael S. González D'León
DESCRIPTION:On Whitney numbers of the first and second kind\, or is it the other way around?\nDr. Rafael S. González D’León\nAssistant Professor \nLoyola University Chicago \nAlgebraic combinatorics is centered on the idea that a variety of algebraic objects can be understood using the tools from combinatorics. In this talk\, I will illustrate this idea using a modern example of how combinatorial theories can give us a better understanding on a subject. The story I will tell involves the Whitney numbers of the first and second kind\, which are a pair of invariants of partially ordered sets (posets) that are relevant in several areas of mathematics. One of their most interesting appearances is as the coefficients of a polynomial enumerating proper colorings of a graph (think of colorings of a map where neighboring countries must be distinguishable from each other). They also appear counting regions in the complement of a real hyperplane arrangement. \nI will introduce and give insight into the algebraic and combinatorial objects in this story and share a very curious phenomenon: sometimes the Whitney numbers of the first and second kind of a poset are also the Whitney numbers of the second and first kind\, but of a different poset. Some recent results about this phenomenon could shed light on longstanding questions in the subject.
URL:/math/event/colloquium-dr-rafael-s-gonzalez-dleon/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Colloquia
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DTSTART;TZID=America/Chicago:20240913T140000
DTEND;TZID=America/Chicago:20240913T153000
DTSTAMP:20260419T170728
CREATED:20240823T155120Z
LAST-MODIFIED:20240827T182002Z
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SUMMARY:Colloquium: Prof. Laurel Ohm
DESCRIPTION:PDE Problems in Thin Filament Hydrodynamics\nProf. Laurel Ohm\nAssistant Professor of Mathematics\nUniversity of Wisconsin-Madison \nMany fundamental biophysical processes\, from cell division to cellular motility\, involve dynamics of thin structures immersed in a very viscous fluid. Various popular models have been developed to describe this fluid-structure interaction mathematically\, but much of our understanding of these models is at the level of numerics and formal asymptotics. Here we will discuss some of the interesting issues that arise in developing the PDE theory of thin filament hydrodynamics\, as well as the insights this analysis perspective can shed on the underlying biophysics.
URL:/math/event/colloquium-prof-laurel-ohm/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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DTSTART;TZID=America/Chicago:20240920T140000
DTEND;TZID=America/Chicago:20240920T153000
DTSTAMP:20260419T170728
CREATED:20240826T192058Z
LAST-MODIFIED:20240828T152515Z
UID:10016167-1726840800-1726846200@uwm.edu
SUMMARY:Colloquium: Prof. Bob Eisenberg
DESCRIPTION:Ion Channels\, the Ultimate Multiscale Device\nProf. Bob Eisenberg\nProfessor of Biomathematics and Physiology\nDepartment of Physiology & Biophysics\, Rush University\, Chicago IL \nProteins called ion channels are the ultimate multiscale device\, the ‘nanovalves of life’ controlling most biological functions the way transistors control computers. A handful of atoms control biological function on the macroscale\, so analysis must link atomic distances of 10-10m with biological distances of 1 meter. Channels are of such biological and medical importance that hundreds of scientists study them every day and thousands of talks on channels are given at (for example) the annual meeting of the Biophysical Society (USA). Channels conduct ions (spherical charges like Na+ \, K+ \, Ca2+ \, and Cl- with diameter ~ 0.2 nm) through a narrow tunnel of permanent charge (‘doping’) with diameter ~ 0.6 nm. Channels can be studied in the tradition of physical science. PNP equations familiar in physics form an adequate initial model of current voltage relations in many types of channels under many conditions\, and can be extended to describe ‘chemical’ phenomena like selectivity with some success. Variational models and methods are needed to deal with the coupling of different fields. Ionic channels are studied with the powerful techniques of molecular biology. Atoms (and thus charges) can be substituted a few at a time and the location of every atom can be determined in favorable cases. Ion channels are one of the few living systems of great importance where natural biological function can be well described by a tractable set of equations. Mathematics and mathematicians are needed to apply these equations to the hundreds of channels of biological and clinical significance.
URL:/math/event/colloquium-bob-eisenberg/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Colloquia
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