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Abstracts for Online reading group "Intersection theory on stacks"

Alternatively have a look at the program.

Online: Category background for stacks

Posted in
Speaker: 
Reinier Kramer
Affiliation: 
MPIM
Date: 
Mon, 2020-07-06 10:30 - 12:00

I will recall often-used categorical constructions, such as the Yoneda lemma, categorical limits, and adjunctions. Most examples will be algebraic or topological in nature, with more geometric examples coming in the next session. I will also introduce group objects and discrete group objects in a category.

 

Online: Recap of scheme theory

Posted in
Speaker: 
Reinier Kramer
Affiliation: 
MPIM
Date: 
Thu, 2020-07-09 13:30 - 15:00

I will recall the definition of sheaves and schemes and many of their properties, such as e.g. properness, smoothness, &c. This is all material from Hartshorne, parts II and III, with less of a focus on sheaf cohomology (already treated in the previous reading group, on DT invariants), and making use of the category theory background.

 

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