Peter Teichner and Lukas Brantner

Wed 11:10 - 12:40 in 891 Evans in March and April


March 14: Peter Teichner, Introduction to TMF via the Witten genus

March 22 (Thursday at 11:10 in 740 Evans): Danica and Matthias, Complex oriented cohomology theories, formal group laws, Landweber exactness, examples.


March 26 (Monday at 2:10 in 740 Evans): Bertram and Matthias, Stack of formal groups, flatness conditions and proof of Landweber’s exact functor theorem.


April 4 (in 736 Evans): Daniel and Alex,

Spectral Artin representability and the moduli stack of elliptic curves

SAG 18.3.0.1 and EC1 2.4.1


April 11: Lukas and Eugene, p-divisible groups and their deformations

EC2 3.4.1, SAG 7.0.1


April 18: Achim and Ben, Orientations of spectral elliptic curves

EC2 Section 4.3, 6.0.3


April 25: Bertram and Augusto, Definition of the commutative ring spectrum TMF

EC2 7.0.1, 7.0.3


References include:

EC1:         http://www.math.harvard.edu/~lurie/papers/Elliptic-I.pdf

EC2:         http://www.math.harvard.edu/~lurie/papers/Elliptic-II.pdf

SAG:        http://www.math.harvard.edu/~lurie/papers/SAG-rootfile.pdf

SURVEY: http://www.math.harvard.edu/~lurie/papers/survey.pdf

Block Seminar, Spring 2018:

Elliptic Cohomology, following Jacob Lurie