Sponsored by Elizabethtown College, Franklin and Marshall College, Lebanon Valley College, and Millersville University
12 September David Lyons, Lebanon Valley College 3 October David Johnson, Lehigh University 7 November Josh Sabloff, Haverford College 5 December Vincent Coll, Lehigh University 6 February Lisa Traynor, Bryn Mawr College 6 March Zhigang Han, Millersville University 10 April Barbara Nimershiem, Franklin and Marshall CollegeTGTS meets at 4:30 p.m. on the first Friday of each month. The public is cordially invited to attend.
Date: 6 February 2015, 4:30pm Location: Hempfield High School, Room 213 Speaker: Lisa Traynor, Bryn Mawr College Title: Lagrangian Endocobordisms for a Legendrian Knot Abstract. Smooth cobordisms between submanifolds play an important role in topology. I will discuss smooth cobordisms that have additional geometric conditions imposed by symplectic and contact structures. In particular, I will discuss Lagrangian cobordisms between Legendrian knots. Whereas the genus of a smooth cobordism (orientable or not) between a knot and itself can be arbitrary, the genus of an orientable Lagrangian endocobordism must vanish, and non-orientable Lagrangian endocobordisms must have a genus that is a multiple of 4. Furthermore, some Legendrian knots will have an infinite number of “exact” non-orientable Lagrangian endocobordisms, while other Legendrian knots have none. This is joint work with Orsola Capovilla-Searle.