Topology Seminar- Triple-crossing diagrams of knots.
Fri, 16 April, 2021
5:00pm
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. April 30, 2021: Joseph Boninger (CUNY)
9. May 7, 2021: William Goldman (University of Maryland, College Park)
10. May 14, 2021: Wade Bloomquist (Georgia Tech)
The next talk will be by Michal Jablonowski and will take place on April 16, 2021 from 1:00pm to 2:00pm EDT.
Title: Triple-crossing diagrams of knots.
Abstract: We present a systematic method to generate prime knot and prime link minimal triple-point projections. We then extend the classification of knots by the triple-crossing number. By introducing a new type of diagrammatic move and derive a minimal generating set of moves connecting triple-crossing diagrams of the same knot. We show that the triple-crossing number of any knot is greater or equal to twice its (canonical) genus. As an application, we show that this bound is strong enough to obtain the triple-crossing numbers of torus knots, and generally all positive-braid knots and their connected sums.
The Zoom information is listed below:
Topic: GW Topology Seminar
Join Zoom Meeting
Meeting ID: 951 840 9059
The password is the last name of the Fields Medalist famous for his work on von Neumann algebras and knot polynomials; first letter capitalized.
One tap mobile
+16699009128,,9518409059#,,,,,,0#,,215150# US (San Jose)
+13462487799,,9518409059#,,,,,,0#,,215150# US (Houston)
Dial by your location
+1 669 900 9128 US (San Jose)
+1 346 248 7799 US (Houston)
+1 253 215 8782 US (Tacoma)
+1 312 626 6799 US (Chicago)
+1 646 558 8656 US (New York)
+1 301 715 8592 US (Germantown)
Find your local number: https://gwu-edu.zoom.us/u/atd3xNgZt
Join by SIP
Join by H.323
162.255.37.11 (US West)
162.255.36.11 (US East)
115.114.131.7 (India Mumbai)
115.114.115.7 (India Hyderabad)
213.19.144.110 (Amsterdam Netherlands)
213.244.140.110 (Germany)
103.122.166.55 (Australia)
149.137.40.110 (Singapore)
64.211.144.160 (Brazil)
69.174.57.160 (Canada)
207.226.132.110 (Japan)
Meeting ID: 951 840 9059
Passcode: 215150