Slide shows

  • The Poincaré duality theorem and its converse I.
    The Poincaré duality theorem and its converse II.
    Festive Opening Colloquium, Floer Geometry Center, Bochum, 7th December, 2011
  • The classification of surfaces Andrew Ranicki, slides for SMSTC lecture (24 November, 2011). Previous lectures: Coverings and the Galois correspondence Vanya Cheltsov (17 November, 2011), The Seifert-van Kampen theorem Andrew Ranicki (10 November, 2011), The fundamental group and covering spaces Vanya Cheltsov (3 November, 2011).
  • The Brouwer fixed point theorem and the degree (with apologies to J.Milnor), SMSTC Lecture, Edinburgh, 10th February, 2011
  • The total surgery obstruction, MPIM, Bonn, 20th December, 2010
  • Quadratic forms and manifolds, Hamburg, 7th December, 2010
  • Noncommutative localization Pierre Vogel 65th birthday conference, Paris, 27 October 2010
  • Aspects of quadratic forms in the work of Hirzebruch and Atiyah Edinburgh, 17 September, 2010
    Director's cut (longer version), Bonn, 12 October, 2010.
  • On signatures of knots Durham, 20 June, 2010
  • Quadratic forms, manifolds and bagels Glasgow, 1 March, 2010
  • The Maslov index, the signature and bagels Göttingen, 22 December, 2009.
    The original Möbius sliced bagel.
    Warning on the dangers of bagel slicing.
    Wikipedia article on bagels.
  • An introduction to the Maslov index in symplectic topology (with Daniele Sepe)
    Maslov index seminar, Edinburgh, 9 November, 2009.
  • Novikov additivity of the signature, Wall's nonadditivity and the Maslov index
    Maslov index seminar, Edinburgh, 26 October, 2009.
  • A topologist's view of symmetric and quadratic forms, given at the Patterson 60++, celebrating the 60th birthday of Paddy Patterson, Göttingen, 27-29 July, 2009.
  • Exact braids and octagons, given at the Lewisfest, celebrating the 65th birthday of David Lewis, University College, Dublin, 23-24 July, 2009.
  • Michel Kervaire's work in surgery and knot theory, given at the Kervaire Memorial Symposium, Geneva, 10-13 February, 2009.
    Addendum on Exotic spheres and the Kervaire invariant (May 2009).
  • Noncommutative localization in algebra and topology, Knot theory meeting, Heidelberg, 17th December, 2008.
    A version of the 2005 Bielefeld lecture with the same title, but geared to knots and links.
  • The Hopf invariant in topology and algebra, Bonn, 21st November, 2008.
    π3(S2), H. Hopf, W.K. Clifford and F. Klein by Hans Samelson, from the History of Topology (ed. I.M. James) (1999).
  • Algebraic K-theory over the infinite dihedral group, Aberdeen, 1st May, 2008.
  • On the Cappell UNil groups, Bloomington, 6th April, 2008.
  • A composition formula for manifold structures, Bonn, 4th December, 2007.
  • The fundamental group and covering spaces, Notes, Slides for SMSTC lecture, Edinburgh, 8th November, 2007.
  • The geometric Hopf invariant. Abschiedskolloquium Larry Smith, Göttingen, 29 September, 2007.
  • Nilpotence = torsion Workshop on Nil phenomena in topology, Vanderbilt, 14th April, 2007
  • Quadratic structures in surgery theory C.T.C. Wall's 70'th birthday conference, Edinburgh, 5th July, 2006
  • Double points Ian Hambleton+Erik Pedersen 60+60'th birthday conference, Muenster, 28th June, 2006
  • The geometric Hopf invariant in surgery theory Sussex University, 15th June, 2006
  • The geometric Hopf invariant 5th NRW Topology meeting, Bielefeld, 28th April, 2006
  • High dimensional manifold topology then and now
    3 lectures given at Larry Siebenmann's retirement conference, Orsay, 7-9 December, 2005
  • Blanchfield and Seifert algebra in high-dimensional boundary links, Edinburgh ICMS, 1 July, 2005
  • Cobordism in algebra and topology. Abschiedskolloquium Bob Switzer, Göttingen, 13 May, 2005.
  • Surgery theory, Cambridge, 28 February, 1 and 3 March, 2005
  • Noncommutative localization in algebra and topology, Bielefeld, 11 February, 2005
  • Cohn localization, generalized free products and boundary links Knots and their manifold stories, BIRS, Banff, 11 May 2004. Video.
  • The quadratic form E8 and exotic homology manifolds
    Special Session on Geometric Topology in Honor of John Bryant, AMS Sectional Meeting, Tallahassee, March, 2004
  • School on high-dimensional manifold topology, ICTP Trieste, 21 May - 8 June, 2001
  • Notes Slides Foundations of algebraic surgery
  • Notes Slides The structure set of arbitrary spaces, the algebraic surgery exact sequence and the total surgery obstruction
  • Notes Slides Circle valued Morse theory and Novikov homology
  • Algebraic transversality for topological manifolds
  • Cutting and pasting manifolds from the algebraic point of view AMS Sectional Meeting, Notre Dame, April, 2000.
  • Algebraic transversality British Topology Meeting, Oxford, April, 1997.
  • Surgery on trees Topology seminar at Oxford, November, 1996.
  • 45 slides on chain duality Sakado Conference on Surgery and Geometric Topology, September, 1996.
  • On the work of C.T.C.Wall in topology Wall 60th Birthday Conference in Liverpool, August, 1996.
  • Manifolds and duality Heidelberg, May, 1996 (English version).
    Thanks to Andreas Stirnemann for help with preparing the original German version.