The goal of the seminar is to learn about the basic de finitions and properties of stacks, discuss some examples, and fi nally to give the proof of Behrend’s trace formula.

Program: pdf
The program uses the following version of the stacks project book: dvi

Organizer: Andre Chatzistamatiou,

## Talks

 14.10. Andre Chatzistamatiou Overview 21.10. Anna Fluder Descent 28.10. Annabelle Hartmann Algebraic Spaces 4.11. Abolfazl Mohajer 2-categories, fibered categories, stacks 11.11. Lars Kindler Algebraic Stacks 18.11. Stefan Kukulies Groupoid representation of an algebraic stack and BG 25.11. Kay Rülling Example: Moduli of Abelian Varieties 2.12. Philipp Hartwig The coarse moduli space for algebraic stacks 9.12. Philipp Gross Finiteness theorem and Leray spectral sequence 16.12. Marcello Bernardara The Leray spectral sequence for fibrations and purity 13.1. Andre Chatzistamatiou Cohomology of BGL_n and proof of the trace formula 20.1. Lei Zhang The trace formula for Deligne-Mumford stacks