09:00 to 10:00 Yi Ni (CALTECH (California Institute of Technology))Null surgery on knots in L-spaces Co-author: Faramarz Vafaee (Caltech)  Let   be a knot in a rational homology sphere  . Then there is a unique surgery on   which results a manifold with    . We call this surgery the null surgery. When   is an L-space, the null surgery remembers the information about the genus and fiberedness of the knot. A special case of our theorem is that if the resulting manifold is      , then the dual knot is a spherical braid. This is joint work with Faramarz Vafaee. INI 1 10:00 to 11:00 Ken Baker (University of Miami)Constructions of asymmetric L-space knots Until July 2014, all known L-spaces admitted an involution.  Then, through a clever search of the SnapPy census, Dunfield-Hoffman-Licata found examples of asymmetric one-cusped hyperbolic manifolds with two lens space fillings and consequently many asymmetric L-space fillings. Yet since none of these lens space fillings were $S^3$, so still stood the conjecture that L-space knots in $S^3$ are strongly invertible. In this talk we present  (1) a natural' realization and vast generalization of the Dunfield-Hoffman-Licata examples (joint work with Hoffman and Licata) and (2) the first construction of asymmetric L-space knots in $S^3$ (joint work with Luecke). Both of these constructions produce asymmetric one-cusped hyperbolic manifolds with two fillings that are double branched covers of alternating links, though the approaches are different. INI 1 11:00 to 11:30 Morning Coffee 11:30 to 12:30 John Luecke (University of Texas at Austin); (University of Texas at Austin)Boundary-reducing surgeries and bridge number Let M be a 3–dimensional handlebody of genus g > 1. We give examples of hyperbolic knots in M with arbitrarily large genus g bridge number which admit Dehn surgeries which are boundary- reducible manifolds. INI 1 12:30 to 13:30 Lunch @ Wolfson Court 14:00 to 15:00 Informal discussion INI 1 15:00 to 15:30 Afternoon Tea 15:30 to 16:30 Informal discussion INI 1