We are organizing a reading group on algebraic stacks, with a focus on their cohomology theories and applications to moduli theory. Topics that will be covered are gerbes and the (cohomology of) moduli stacks of vector bundles on curves.
Behrend K., Introduction to algebraic stacks. In: Brambila-Paz L, Newstead P, Thomas RP, García-Prada O, eds. Moduli Spaces. London Mathematical Society Lecture Note Series. Cambridge University Press; 2014:1-131. Link
Heinloth, J., Lectures on the Moduli Stack of Vector Bundles on a Curve. Affine Flag Manifolds and Principal Bundles, edited by Alexander Schmitt, Springer, 2010, pp. 123–53. Link
More to come!
This is an approximate tentative schedule, which may vary depending on the interest of the topics addressed. Roughly, we will meet every Wednesday at 16.20-18.00. Room MA B1 524.
Stacks of triangles, 5 Mar, Niccolò Giacomini
Stacks of triangles II, 12 Mar, Niccolò Giacomini
Algebraic stacks I, 19 Mar, Kamil Rychlewicz
Algebraic stacks II, 26 Mar, Elsa Maneval
Cohomology of stacks, 2 Mar, Archi Kaushik
Gerbes, 9 Apr, Leo Navarro Chafloque
Cohomology of Bun_G, 16 Apr, Sergej Monavari
Moduli stack of curves, 30 Apr, David Klompenhouwer