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DTSTART;TZID=America/Los_Angeles:20191007T163000
DTEND;TZID=America/Los_Angeles:20191007T173000
DTSTAMP:20260505T184705
CREATED:20190911T040840Z
LAST-MODIFIED:20190930T185051Z
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SUMMARY:Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho \,UCR)
DESCRIPTION:Recent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk\, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data\, dimension reduction techniques are applied to find the trajectories of cell states in the reduced differentiation space. Then\, we develop PDE models that describe the cell differentiation as directed and random movement on the abstracted graph or on the reduced space. Normal hematopoiesis differentiation and abnormal processes of acute myeloid leukemia (AML) progression are simulated\, and the model can predict the emergence of cells in novel intermediate states of differentiation consistent with immunophenotypic characterizations of AML. In addition\, we demonstrate that our model is capable to illustrate the reconstitution of impaired Hematopoiesis\, for instance\, after chemotherapy.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-heyrim-cho-ucr/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20191008T121500
DTEND;TZID=America/Los_Angeles:20191008T131000
DTSTAMP:20260505T184705
CREATED:20190909T203312Z
LAST-MODIFIED:20190909T203312Z
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SUMMARY:Matroids: a unified theory of independence (Mauricio Gomez Lopez\, University of Oregon)
DESCRIPTION:In this talk\, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions of this theory\, I will discuss several examples of matroids and explain some connections with optimization. Also\, in this talk\, I will introduce matroid polytopes\, which provide a geometric framework for studying matroids. If time permits\, I will discuss some new proofs to known results that I developed with one of my students during a research program this summer.
URL:https://colleges.claremont.edu/ccms/event/matroids-a-unified-theory-of-independence-mauricio-gomez-lopez-university-of-oregon/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20191008T150000
DTEND;TZID=America/Los_Angeles:20191008T160000
DTSTAMP:20260505T184705
CREATED:20190909T230001Z
LAST-MODIFIED:20190919T032450Z
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SUMMARY:Topology Seminar: Mauricio Gomez Lopez (U. Oregon)
DESCRIPTION:Title: Cobordism Categories and Spaces of Manifolds. \nAbstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom\, which provided the first link between manifolds and homotopy theory. In more recent years\, there has been much focus on cobordism categories. These play a fundamental role in the study of topological quantum field theories and automorphism groups of manifolds.  A fundamental result in this field is the theorem of Galatius\, Madsen\, Tillmann\, and Weiss\, which describes the homotopy type of the classifying spaces of smooth cobordism categories. Galatius and Randal-Williams later simplified the proof of this result with the use of spaces of manifolds and scanning techniques. Besides giving an overview of this field of research\, I will discuss the analogs of the theorem of Galatius\, Madsen\, Tillmann\, and Weiss for topological and PL manifolds. The topological case is joint work with Alexander Kupers.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-mauricio-gomez-lopez-u-oregon/
LOCATION:CA
CATEGORIES:Topology Seminar
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DTSTART;TZID=America/Los_Angeles:20191009T161500
DTEND;TZID=America/Los_Angeles:20191009T171500
DTSTAMP:20260505T184705
CREATED:20190826T234829Z
LAST-MODIFIED:20191004T182414Z
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SUMMARY:Formal geometry and characteristic classes
DESCRIPTION:I plan to explain how a purely algebraic technique involving Lie Algebra Cohomology can be used to construct standard characteristic classes of vector bundles and foliations (in fact\, it could be tweaked to give most characteristic classes in differential and complex geometry).
URL:https://colleges.claremont.edu/ccms/event/tba-7/
LOCATION:CA
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
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