Shimura Varieties

Notes of the lectures will be published shortly.

Organization

Time June 20–22, 2016
Location Leiden University, Snellius B2 (directions)
Organizers Erik Visse and Wouter Zomervrucht

Here is the list of participants.

The study of Shimura varieties is a challenging yet interesting area within algebraic geometry. Nevertheless, they are rarely treated in a mathematical training; this may be partly due to their involved definition. The current crash course intends to fill this gap. Our focus will be on motivation and examples rather than technical details. We have found four excellent speakers willing to teach: Francesca Bergamaschi, Bas Edixhoven, Arno Kret, and Lenny Taelman.

Schedule

June 20
12:15–13:00 Bas Edixhoven Examples of connected Shimura varieties over C
13:45–14:30 Bas Edixhoven Hodge structures
14:45–15:30 Bas Edixhoven The André–Oort conjecture
15:45–16:30 Lenny Taelman Hermitian symmetric domains
 
June 21
12:15–13:00 Lenny Taelman Variation of Hodge structure
13:45–14:30 Lenny Taelman Moduli of K3 surfaces
14:45–15:30 Arno Kret The adelic definition of Shimura varieties
15:45–16:30 Francesca Bergamaschi Shimura varieties of PEL type
 
June 22
13:30–14:15 Francesca Bergamaschi Canonical models
14:30–15:15 Francesca Bergamaschi Shimura varieties in characteristic p
15:45–16:30 Arno Kret Class field theory and zero-dimensional Shimura varieties
16:45–17:30 Arno Kret Application to the Langlands program

After the final lecture on Wednesday we will go for drinks to the FooBar, the bar of the Snellius building. At 20:00 there is a concluding dinner in restaurant Karalis. It is located at Doezastraat 5 in the city center of Leiden.

Location

Directions to the Snellius building can be found here. Please note that due to construction work, some buses may be delayed or even canceled. A possible alternative is to rent a bike, for instance at EasyFiets.

Sponsors

We would like to thank the following institutions for supporting this crash course.

leiden wonder irtg