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: 7 November 2014, 4:30pm Location: Hempfield High School, Room 213 Speaker: Josh Sabloff, Haverford College Title: Topologically Distinct Lagrangian Fillings and the Generating Family Homology Number Abstract. We construct Legendrian submanifolds with arbitrarily many topologically distinct Lagrangian fillings, thereby (secretly) answering a question about intersections of complex curves with the 4-ball asked by Boileau and Fourrier. These fillings are then combined with a TQFT-like theory for Lagrangian cobordisms between Legendrian submanifolds to produce interesting consequences for some non-classical invariants of the Legendrian submanifolds with topologically distinct fillings. Various parts of this talk are joint work with Traynor, Bourgeois-Traynor, and Cao-Gallup-Hayden.