This is the Juvitop seminar webpage from Fall 2007, which was organized by Jennifer French and Samuel Isaacson about Goodwillie Calculus. This site was originally hosted here. This is part of a deep copy of all prior Juvitop websites that I could find in the fall of 2016.

Juvitop is a topics seminar on algebraic topology organized by graduate students at MIT.

The topic for the Juvitop seminar this semester is homotopy calculus.

The seminar will meet (unless noted otherwise) on Wednesdays at 4:30 pm in room 2-136 starting September 19.

The following is a list of the talks:

Date |
Lecturer |
Title |

09/19/07 |
Mark Behrens |
Overview of homotopy calculus |

09/26/07 |
Sam Isaacson |
Construct Taylor Towers |

10/03/07 |
Jennifer French |
Classification of Homogeneous Functors |

10/10/07 |
Martin Frankland |
Convergence |

10/17/07 |
Angelica Osorno |
Orthogonal Calculus |

10/24/07 |
John Francis |
Snaith-Type Splitting |

10/31/07 |
Reid Barton |
Arone--Mahowald Part I |

11/7/07 |
Samik Basu |
Arone--Mahowald Part II |

11/14/07 |
Ricardo Andrade |
Michael Ching Thesis Part I |

11/29/07 |
Nick Rozenblyum |
Michael Ching Thesis Part II |

12/06/07 |
Lars Hesselholt |
K-Theory and TC |

G Arone,
A generalization of Snaith-type splitting, Trans. AMS 351 (1999)1123--1150.

G Arone, M Mahowald, The Goodwillie tower of the identitiy functor and the unstable periodic homotopy of spheres,Invent. Math. 135 (1999) 743--788.

M Ching, ?

T Goodwillie, Calculus I: The First Derivative of Pseudoisotopy Theory, K-Theory 4 (1990) 1--27.

T Goodwillie, Calculus II: Analytic Functors, K-Theory 5 (1992) 295--332.

T Goodwillie, Calculus III: Taylor Towers, arXiv:math/0310481v1

N Kuhn, Goodwillie towers and chromatic homotopy: an overview

R McCarthy, Relative algebraic K-theory and topological cyclic homology, Acta Math. 179 (1997) 197--222.

M Weiss, Orthogonal Calculus

### Contacts

Feel free to e-mail the organizers regarding questions about the
seminar or requests pertaining to the corresponding mailing list:

Jennifer French (jfrench%math.mit.edu)

Samuel Isaacson (sbisaacs%math.harvard.edu)

### Some links

Past Juvitop Seminars:

Juvitop, Spring 2007 focused on floer homology.

Juvitop, Fall 2006 focused on the Adams spectral sequence and computations in the stable homotopy groups of spheres.

Juvitop, Spring 2006 focused on stacks in topology and homotopy theory.

Juvitop, Fall 2005 was dedicated to surgery theory.

Juvitop, Spring 2005 was on Galois theory of structured ring spectra.

Other MIT topology seminars:

Babytop seminar

Topology seminar

G Arone, M Mahowald, The Goodwillie tower of the identitiy functor and the unstable periodic homotopy of spheres,Invent. Math. 135 (1999) 743--788.

M Ching, ?

T Goodwillie, Calculus I: The First Derivative of Pseudoisotopy Theory, K-Theory 4 (1990) 1--27.

T Goodwillie, Calculus II: Analytic Functors, K-Theory 5 (1992) 295--332.

T Goodwillie, Calculus III: Taylor Towers, arXiv:math/0310481v1

N Kuhn, Goodwillie towers and chromatic homotopy: an overview

R McCarthy, Relative algebraic K-theory and topological cyclic homology, Acta Math. 179 (1997) 197--222.

M Weiss, Orthogonal Calculus

Jennifer French (jfrench%math.mit.edu)

Samuel Isaacson (sbisaacs%math.harvard.edu)

Juvitop, Spring 2007 focused on floer homology.

Juvitop, Fall 2006 focused on the Adams spectral sequence and computations in the stable homotopy groups of spheres.

Juvitop, Spring 2006 focused on stacks in topology and homotopy theory.

Juvitop, Fall 2005 was dedicated to surgery theory.

Juvitop, Spring 2005 was on Galois theory of structured ring spectra.

Other MIT topology seminars:

Babytop seminar

Topology seminar