Juvitop, Spring 2006


This semester, the Juvitop seminar is focusing on stacks in topology and homotopy theory.

Talks are on Wednesdays at 4:30pm in 2-143.


Lecture schedule

DateLecturerSubject
March 15Tyler LawsonIntroduction, orbifolds
March 22Vigleik AngeltveitSheaves, sites, and cohomology
April 5Ricardo AndradeGrothendieck topologies
April 12Rekha SanthanamDescent and Hopf algebroids
April 19Barry WalkerRepresentable morphisms and sheaves
April 26John FrancisThe Landweber exact functor theorem
May 3Josh Nichols-BarrerSurvey of various topologies
May 10Mike Hill

References

Orbifolds as groupoids: an introduction, by Ieke Moerdijk.

Complex oriented cohomology theories and the language of stacks. Lecture notes based on a course given by Mike Hopkins.

Notes on Grothendieck topologies, fibered categories, and descent theory, by Angelo Vistoli.

Foundations of topological stacks I, by Behrang Noohi.

Topological and smooth stacks, by David Metzler.

Stacks, by William Fulton.

Presheaves of ring spectra over the moduli stack of formal group laws, by Paul Goerss.

Stacks for everybody, by Barbara Fantechi.

Notes for Barry Walker's talk.


Juvitop Fall 2005 was on surgery theory.

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

Juvitop Fall 2004 was on equivariant homotopy theory.