During 2005 July 10 - 19, the conference entitled

was held at Technion-Israel Institute of Technology Haifa, Israel

The following is the program and the notes that I took in the conference.

Monday, 11 July

9:10-10:00, John Hempel, Distance, width and depth for Heegaard splittings
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11:00-12:00, Yair Minsky, Heegaard splittings, curve complexes and hyperbolic geometry I
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14:00-15:00, Hyam Rubinstein, Minimal surfaces and Heegaard splittings in hyperbolic 3-manifolds

15:30-16:30, Mario Eudave Munoz, Incompressible surfaces and tunnel number one knots
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Tuesday, 12 July

9:00-10:00, Problem Session

11:00-12:00, Problem Session
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14:30-15:30, Eric Sedgewick, In a manifold with boundary, does an irreducible yet weakly irreducible Heegaard splitting imply an essential surface?
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15:30-16:30, Kanji Morimoto, On the degenerating ratio of tunnel numbers and free tagle decomposition of knots

Wednesday, 13 July

9:00-10:00, Saul Schleimer, Holes in he disk complex
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11:00-12:00, Tsuyoshi Kobayashi, The growth rate of tunnel numbers of m-small knots I

14:00-15:00, Yoav Rieck, The growth rate of tunnel numbers of m-small knots II

15:30-16:30, Problem Session,

Thursday, 14 July

9:00-10:00, Peter Ozsvath, Heegaard diagrams and holomorphic disks I
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11:00-12:00, Yair Minsky, Heegaard splittings, curve complexes and hyperbolic geometry II
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14:30-15:30, Tao Li, Heegaard splitting of amalgamated 3-manfolds
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Friday, 15 July

9:00-10:00, Peter Ozsvath, Heegaard diagrams and holomorphic disks II
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11:00-12:00, Richard Weidmann, Foldings and Kleinian groups
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14:00-15:00, Dave Bachman, Isotopic Heegaard splittings of toroidal 3-manifolds