Geometry and Topology Seminar: Ivan Yakovlev
This is a past event.
Wednesday, February 5 at 1:00pm to 2:00pm
DM - Deuxieme Maison, 409A
11200 SW 8th ST 33199, Deuxieme Maison, Miami, Florida 33199
Classical invariants of Legendrian knots
Speaker: Ivan Yakovlev from HSE and Skoltech, Moscow.
Time: Wednesday 2/5/2020 at 1pm-2pm.
Room: DM 409A
Abstract: In my talk I will give a brief introduction to Legendrian knots. I will recall the basic results from contact geometry and define the rotation number and the Thurston-Bennecken number (combinatorially and topologically), then formulate several classification results about knots in tight contact manifolds. Then I will describe the Chekanov example of Legendrian non-isotopic knots with the same classical invariants, which largely determined the development of contact geometry in the last two decades.