notes linked below contain mistakes, so use them with care
Nonarchimedean geometry and model theory (spring 2024)
here are some notes in progress on berkovich geometry.
here is the link to an earlier study group on nonarchimedean geometry some of us organised
logarithmic geometry, hodge theory and degenerations (spring 2023)
We'll study logarithmic structures from scratch as well as two applications where they are used as a tool. One is steenbrink's algebraic construction of the limit mixed hodge structure, the second is log regular degenerations, see here for the outline and schedule. recordings available on request
april 11th (Nick): Introduction
april 18th (Art): log structures (notes)
apr 26th (Michael): log schemes (notes)
may 2nd (Ismaele): log smoothness (notes)
may 9th (Sasha): log analytic spaces
may 16th (Javier): hodge structures
may 23th (Irma): mixed hodge structures
may 30th (Art): limit MHS (notes)
June 6th (Nick): log regularity
June 13th (Art): log regular degenerations I
June 20th (Michael): log regular degenerations II
resolution of singularities (autumn 2021)
After doing some classical stuff we will work towards reading the following paper of Abramovich-Temkin-Wlodarczyk. A more detailed schedule with description of the contents can be found here. Recordings available upon request.
oct 13th (Art): overview (slides)
oct 20th (Mathias): blowups and curves
oct 27th (Michael): surfaces and Jung's method (notes)
nov 3rd (Naud): resolution of toric varieties (notes)
nov 10th (Nick): local uniformisation of valuations (notes)
nov 17th (Floris): principalisation and maximal contact
nov 24th (Art): coefficient ideals and local invariant
dec 1st (Tim) : intro to stacks (notes)
dec 8th (Nick): weighted blowups and toric stacks (notes)
dec 15th (Tim): admissibility of centers (notes)
dec 22nd (Art): dream algorithm
other study groups at KU Leuven i (co-)organised:
étale cohomology (autumn 2020-spring 2021): following Milne
metrization of differential forms (spring 2022): following this paper of Temkin. Here is the outline and here are some notes on Kähler norms and here are some notes on metrization of sheaves.
unlikely intersections (autumn 2022): mainly following van den Dries and Masser-Zannier. here is the website
material for other study groups:
slides for an intro to the minimal model program (for a study group on degenerations of K3 varieties in 2021 and updated for a study group on dual complexes of singularities in 2023)
slides for a talk on Mazur's bounded torsion theorem for this study group (2020)
notes for a talk on the Lawrence-Venkatesh method for a study group on p-adic period mappings (autumn 2021)
slides for a talk on the automorphic side of langlands for a study group on automorphy lifting theorems (autumn 2021)