{"id":3044,"date":"2023-01-22T10:40:03","date_gmt":"2023-01-22T18:40:03","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3044"},"modified":"2023-03-27T17:38:44","modified_gmt":"2023-03-28T00:38:44","slug":"prof-bahar-acu","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/prof-bahar-acu\/","title":{"rendered":"Reading Topology from\u00a0Open Books (Prof. Bahar Acu, Pitzer College)"},"content":{"rendered":"

Title:\u00a0<\/strong>Reading Topology from\u00a0Open Books<\/i><\/p>\n

Speaker:<\/strong> Bahar Acu, Department of Mathematics, Pitzer College<\/p>\n

Abstract:\u00a0<\/strong>How can we study topological shapes that are outside the realm of our imagination? In this talk, we will explore potential answers to that question by diving\u00a0deep into dimensionality and topology via open books. \u00a0Topology is the study of properties of shapes that do not fundamentally change when they are bent\u00a0and\/or stretched without poking holes or ripping apart. At this point, you must have heard that to a topologist, a donut and a coffee cup (with a handle) are\u00a0the same thing since one can be deformed into the other continuously, i.e. only via bending and\/or stretching. A very useful strategy in studying topological\u00a0objects (in our case,\u00a0manifolds<\/i>) is to factor them into smaller pieces. An\u00a0open book decomposition\u00a0<\/i>of an n-dimensional manifold (the open book) is a\u00a0special function that helps us study our object in terms of its (n-1)-dimensional fibers (the pages) and (n-2)-dimensional boundary of these fibers (the\u00a0binding). This topological tool provides a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as\u00a0contact structures<\/i>. For example, every (contact) 3-dimensional manifold can be presented as an open book whose pages are surfaces and binding is a\u00a0knot\/link. In this talk, we will talk about these objects in greater detail with examples.<\/p>\n

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Dr. Bahar Acu is an Assistant Professor of Mathematics at Pitzer College. Prior to joining Claremont Colleges, Dr. Acu held positions at UCLA,\u00a0Northwestern, ETH Z\u00fcrich, and IAS Princeton following a Ph.D. degree from the University of Southern California. Dr. Acu\u2019s primary research interests are\u00a0in the field of geometric topology, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. Dr.\u00a0Acu is the co-founder and lead-organizer of the inaugural international research collaboration conference for women and nonbinary mathematicians in the\u00a0field of symplectic and contact geometry and topology. The peer-reviewed volume of this conference\u00a0Research Directions in Symplectic and Contact\u00a0Geometry and Topology<\/i>,\u00a0lead-edited by Dr. Acu, was recently published as a part of Springer\u2019s Association for Women in Mathematics Series.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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