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Outline

07.09.2009, Nate/Dan: Cohomology, formal groups, introduction to elliptic cohomology.

14.09.2009, Kevin/Ryan: E_\infty rings and derived schemes.

21.09.2009 IMPRS summer school.

28.09.2009 Kevin: Derived schemes (cont.)

30.09.2009 Majid: The moduli space of elliptic curves I.

05.10.2009 Majid: The moduli space of elliptic curves III (part II is in GW seminar).

07.10.2009 Ryan: Equivariant cohomology.

12.10.2009 Dmitri: Group Schemes.

14.10.2009 Dmitri: Orientations of G_m and G_a.

19.10.2009 No Seminar (TFTs in Almeria)

21.10.2009 No Semiar

26.10.2009 Alan: Preorientations and A-equivariant cohomology I.

28.10.2009 Dmitri: Preorientations and A-equivariant cohomology II.

02.11.2009 No Seminar planned.

04.11.2009 Urs: The main theorem and a representability result.

09.11.2009 Lennart: The local proof (sec 4.2) I.

11.11.2009 Lennart: The local proof (sec 4.2) II.

16.11.2009 Lennart: The local proof (sec 4.2) III.

18.11.2009 Ryan: Some comments on Compactifying.

23.11.2009 (16:30 Hoersaal) Prof. Hirzebruch: ?

30.11.2009 Martin Sheaves in homotopy theory.

02.12.2009 Martin Coefficients of tmf.

07.12.2009 Arturo? String orientations.

The main references are Jacob Lurie's A Survey of Elliptic Cohomology and DAG IV. Also, Paul Goerss' lecture notes Topological Algebraic Geometry may be helpful.

See also the nlab entry A Survey of Elliptic Cohomology in nlab.

Chris Douglas' note on Sheaves in homotopy theory.

Paul Goerss' Topological Modular Forms (after Hopkins, Miller and Lurie).Which is the accompanying text to his Seminare Bourbaki talk.