Lecture Notes on Homotopy Theory

• Matt Ando: Circle-equivariant sigma-orientation and representations of loop groups 3pp. (U. of Chicago Algebraic Topology seminar, 3/03)
• Mark Behrens: Isogenies of elliptic curves and the K(2)-local sphere 6pp. (Workshop on Loop Spaces and Homotopy Theory, Toronto 10/04)
• Chris Douglas: Twisted K-theory of Lie groups 5pp. (Workshop on Loop Spaces and Homotopy Theory, Toronto 10/04)
• Nora Ganter: Orbifold genera, K(n)-local spectra, product formulas and power operations 4pp. (Workshop on Loop Spaces and Homotopy Theory, Toronto 10/04)
• Mike Hopkins: Topological modular forms and the theorem of the cube 3pp. (MIT Topology Seminar, 5/95)
• Formal groups arising from plane curves 3pp. (MIT Topology Seminar, 11/96)
• Steenrod operations in Morava K-theories 3pp. (MSRI Voevodskyfest, 5/98)
• Twisted K-theory and Verlinde algebra 4pp. (Great Lakes Topology Conference, Northwestern U., 4/01)
• Algebraic Topology and Differential Forms, 1-2 12pp. (KITP, UC Santa Barbara, Summer School, 7/03)
• Algebraic Topology and Differential Forms, 3-5 17pp. (KITP, UC Santa Barbara, Summer School, 7/03)
• Modular Forms and Algebraic Topology 14pp. (U. of Chicago Namboodiri Lectures, 2/00)
• The work of Jack Morava 4pp. (Workshop on Loop Spaces and Homotopy Theory, Toronto 10/04)
• Jacob Lurie: Derived Algebraic Geometry and Elliptic Cohomology 5pp. (AMS Algebraic Geometry Summer School, Seattle 8/05)
• Derived Algebraic Geometry and Elliptic Cohomology 5pp. (Workshop on Loop Spaces and Homotopy Theory, Toronto 10/04)
• Bezout's Theorem and Nonabelian Homological Algebra 8pp. (GRASP lecture, 9/05)
• Marston Morse Lectures: Topological Field Theory in Low Dimensions I (IAS, March 2008)
• Marston Morse Lectures: Topological Field Theory in Low Dimensions II (IAS, March 2008)
• Marston Morse Lectures: Topological Field Theory in Low Dimensions III (IAS, March 2008)
• Marston Morse Lectures: Topological Field Theory in Low Dimensions IV (IAS, March 2008)
• Introduction to Derived Algebraic Geometry (IAS, March 2008)
• Jack Morava: Enriched schemes, formal groups and spectra 1 (U. of Chicago Geometric Langlands Seminar, 10/04)
• Enriched schemes, formal groups and spectra 2 (U. of Chicago Geometric Langlands Seminar, 10/04)
• "Interview" with Beilinson and Drinfeld (Private Discussion, U. of Chicago, 2/00)
• Graeme Segal: Topological Field Theory, Branes and Elliptic Cohomology (Vienna Geometric Langlands and Physics workshop, 1/07)
• Isadore Singer: Quadratic forms in M-theory and topology 5pp. (MacLane 90th birthday conference, U. of Chicago 10/99)
• Stephen Stolz: Spinor bundles on loop spaces 3pp. (U. of Chicago Topology Seminar (?) 2/03)
• Elliptic cohomology 4pp. (Aspen Center for Physics Summer School, 8/04)