Student seminar

## Description

Sometimes there are talks which do not fit into a series. This page serves to collect these talks, and their descriptions.

### Castelnuovo's contractibility theorem

We will cover some aspects of the birational geometry of surfaces.

### Greenlees–May duality

We will give an introduction to the homological algebra of formal schemes, by discussing the Greenlees-May duality over commutative noetherian rings.

For some background, see [1] and [2].

## Schedule

- September 25
- Castelnuovo's contractibility criterion (notes)
- by Dennis Presotto, in G.015, at 10h00
- December 4
- Greenlees–May duality
- By Liran Shaul, in G.015, at 13h00

## References

- [1]
- Alonso Tarrio, Leovigildo and Lopez, Jeremias and Lipman, Joseph
- Greenlees–May duality on formal schemes
- in Studies in duality on noetherian formal schemes and non-noetherian ordinary schemes
- [2]
- Porta, Marco and Shaul, Liran and Yekutieli, Amnon
- On the homology of completion and torsion
- Algebra and representation theory, 2014 (17), 31–67

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