Topology Seminar- Unexpected applications of homotopical algebra to knot theory.
Fri, 12 March, 2021
3:30pm
Greater Washington Topology Seminar
The following is a list of confirmed speakers and dates for the Greater (George) Washington Topology Seminar seminar:
1. March 5, 2021: Maciej Mroczkowski (University of Gdańsk)
2. March 12, 2021: Victoria Lebed (Université de Caen - Normandie )
3. March 26, 2021: Dirk Schütz (University of Durham)
4. April 2, 2021: Peter Samuelson (University of California, Riverside)
5. April 9, 2021: Krzysztof Putyra (Universität Zürich)
6. April 16, 2021: Michal Jablonowski (University of Gdańsk)
7. April 23, 2021: Nathan Geer (Utah State University)
8. May 7, 2021: William Goldman (University of Maryland, College Park)
The next talk will be by Victoria Lebed and will take place on March 12, 2021 from 10:30am to 11:30am EST.
Title: Unexpected applications of homotopical algebra to knot theory.
Abstract: Interactions between knot theory and homotopical algebra are numerous and natural. But the connections unveiled in this talk are rather unexpected. Following a recent preprint with Markus Szymik, I will explain how homotopy can help one to compute the full homology of racks and quandles. These are certain algebraic structures, useful in knot theory and other areas of mathematics. Their homology plays a key role in applications. Although very easy to define, it is extremely difficult to compute. Complete computations have been done only for a few families of racks. Our methods add a new family to this list, the family of permutation racks. The necessary background on racks and quandles, and their role in braid and knot theories, will be given.
The Zoom information is listed below:
Topic: GW Topology Seminar
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