Notes

Beware that the documents below likely contain mistakes — so use with great care! Feel free to contact me with feedback, comments or questions.

Expository notes and slides

• slides for an expository talk on Berkovich curves, skeleta and weight functions for YRANT 2021
• notes on Kähler norms and notes on Temkin's metrization of differential forms. For a study group (spring 2022) on this paper.
• notes on Néron models (my master thesis, 2019)
• slides on introduction to the minimal model program (2023) for a study group on dual complexes of singularities
• slides for a talk on Mazur's bounded torsion theorem for this study group (2020), following this course
• handout for an introductory talk on representation theory

Past Study Groups

Some more material from past study groups:

• logarithmic geometry, hodge theory and degenerations (spring 2023):

  We studied 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.

  • 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 studying some classical results we worked towards reading the following paper of Abramovich-Temkin-Wlodarczyk. A detailed schedule with description of the contents can be found here.

  • 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
• unlikely intersections (autumn 2022):

  Following van den Dries and Masser-Zannier: website here

links to various local research seminars

• KU Leuven Seminar on Number Theory and Algebraic Geometry — Department of Mathematics
• KU Leuven Methusalem project: Colloquia, Seminars & Lectures — Department of Mathematics
• Belgian-Dutch Algebraic Geometry Seminar
• Belgian-Dutch Junior Algebraic Geometry Seminar
• APP - Arithmétique en Plat Pays

online:

• researchseminars.org - VANTAGE seminar
• Number Theory Web Seminar
• Tropical geometry in Frankfurt
• A video playlist of some research lectures (Enis Kaya also has a nice collection here)