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Seminar on Stacks (PhD Seminar)
Termin: Monday 14-16 in WSC-0-U-3.46
Dozenten L.C. Lefèvre, J. Heinloth.
In this seminar we will start by learning basic notions of stacks in the analytic and algebraic categories. We will try to pass to examples and applications quickly, learning the necessary machinery when we need it.
The program will be decided in blocks.
|8.10.2018||J. Heinloth||Introduction: Stacks as sheaves of groupoids|
|15.10.2018||L.C. Lefèvre||Alternative descriptions: Pseudo functors vs fibered categories|
|22.10.2018||J. Heinloth||Geometric notions for stacks: Analytic and algebraic stacks|
|29.10.2018||C. Chowdhury||The stack of elliptic curves is a global quotient stack|
|5.11.2018||C. Chowdhury||The Picard group of the stack of elliptic curves|
|12.11.2018||J. Heinloth||Geometric notions II: Properties of the diagonal, Groupoids, underlying topological space|
|19.11.2018||X. Zhang||The stack of vector bundles on a curve I: Algebraicity|
|26.11.2018||X. Zhang||The stack of vector bundles on a curve II: Smoothness and Connectedness|
|3.12.2018||X. Zhang||The stack of vector bundles on a curve III: Stability|
|10.12.2018||X. Zhang/J. Heinloth||tba|
|7.1.2019||C. Chowdhury||The Motive of Bun – Part I|
|14.1.2019||C. Chowdhury||The Motive of Bun – Part II|
|21.01.2019||M. Zhou||F-splitting and bundles on Bun – Part I|
|28.01.2019||M. Zhou||F-splitting an bundles on Bun – Part II|