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DTSTART;TZID=America/Los_Angeles:20220413T161500
DTEND;TZID=America/Los_Angeles:20220413T173000
DTSTAMP:20260410T055939
CREATED:20220228T192814Z
LAST-MODIFIED:20220301T203530Z
UID:2643-1649866500-1649871000@colleges.claremont.edu
SUMMARY:Geometry of continued fractions (Prof. Oleg Karpenkov)
DESCRIPTION:Title: Geometry of continued fractions\n\nSpeaker:  Oleg Karpenkov\, Department of Mathematical Sciences\, University of Liverpool\n\nAbstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather different research areas:\n— values of quadratic forms (Perron Identity for Markov spectrum)\n— the 2nd Kepler law on planetary motion\n— Global relation on singularities of toric varieties\n\n\n\nOleg Karpenkov is a mathematician at the University of Liverpool (UK)\, working in the general area of discrete geometry. Specifically\, his interests include geometry of numbers\, discrete and semi-discrete differential geometry and self-stressed configurations of graphs. He completed his Ph.D. at Moscow State University under the supervision of Vladimir Arnold in 2005. He held several postdoctoral positions in Paris (Fellowship of the Mairie de Paris)\, Leiden\, and Graz (Lise Meitner Fellowship) before arriving in Liverpool in 2012. In 2013 he published a book “Geometry of Continued Fractions” (its extended second edition will be available soon). His Erdos number is 3.
URL:https://colleges.claremont.edu/ccms/event/geometry-of-continued-fractions-prof-oleg-karpenkov/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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DTSTART;TZID=America/Los_Angeles:20220420T161500
DTEND;TZID=America/Los_Angeles:20220420T173000
DTSTAMP:20260410T055939
CREATED:20220403T231342Z
LAST-MODIFIED:20220403T231342Z
UID:2689-1650471300-1650475800@colleges.claremont.edu
SUMMARY:Linear independence\, counting\, and Hilbert's syzygy theorem (Prof. Youngsu Kim)
DESCRIPTION:Title: Linear independence\, counting\, and Hilbert’s syzygy theorem \nSpeaker: Youngsu Kim\, Department of Mathematics\, Cal State San Bernardino \nAbstract: Linear independence is an essential concept in mathematics and one of the most fundamental notions in linear algebra. \n\n\nLinear algebra studies the solutions of linear equations. Algebraic geometry studies the solutions of polynomial equations (of arbitrary degree). In this talk\, we explore how linear independence can help study algebraic geometry and Hilbert’s syzygy theorem. \n\n\n\nYoungsu Kim earned his Ph.D. from Purdue University. He had visiting positions at UC Riverside and the University of Arkansas. Currently\, he works at Cal State San Bernardino\, and his primary research interest is in commutative algebra.
URL:https://colleges.claremont.edu/ccms/event/linear-independence-counting-and-hilberts-syzygy-theorem-prof-youngsu-kim/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220427T161500
DTEND;TZID=America/Los_Angeles:20220427T173000
DTSTAMP:20260410T055939
CREATED:20220401T032753Z
LAST-MODIFIED:20220406T231953Z
UID:2686-1651076100-1651080600@colleges.claremont.edu
SUMMARY:Contact topology and geometry in high dimensions (Prof. Bahar Acu)
DESCRIPTION:Title: Contact topology and geometry in high dimensions \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: A very useful strategy in studying topological manifolds is to factor them into “smaller” pieces. An open book decomposition of an n-manifold (the open book) is a special map (fibration) that helps us study our manifold in terms of its (n-1)-dimensional submanifolds (i.e. fibers=the pages) and (n-2)-dimensional boundary of these submanifolds (the binding). Open books provide a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as “contact structures”. Thanks to open books\, contact manifolds\, odd dimensional manifolds carrying these geometric structures\, can be studied from an entirely topological viewpoint. For example\, every contact 3-manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about higher-dimensional contact manifolds and provide a setting where we study these manifolds in terms of 3D open books. We present various results along with examples concerning geometric and topological aspects of these manifolds. \n\nDr. Bahar Acu (pronounced: Ah-Joo) is an Assistant Professor of Mathematics at Pitzer College since Spring 2022. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California in 2017. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. While doing so\, Dr. Acu actively thinks about ways in which the math community at large can improve and promote the presence and visibility of more first-gen\, womxn\, queer\, and many other historically underrepresented individuals in math in various mathematical events and projects. Dr. Acu continues to hope that more of the math colleagues join these efforts in their day-to-day navigation in math in any beneficial way they can.
URL:https://colleges.claremont.edu/ccms/event/contact-topology-and-geometry-in-high-dimensions-prof-bahar-acu/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
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