Analytic and Arithmetic Groups

Summer school 2024 - HHU Düsseldorf

GRK 2240 "Algebro-Geometric Methods in Algebra, Arithmetic and Topology

The summer school sheds light on the interplay of arithmetic and analytic groups. Arithmetic and S-arithmetic groups are subgroups of algebraic groups that define lattices in products of real and p-adic analytic Lie groups. The cohomology and cohomologically defined invariants of lattices and their ambient groups, such as Kazhdan's property (T) and higher degree variants, are intricately related. Understanding this relationship is relevant from the geometric, algebraic, and ergodic viewpoint. The meeting will comprise three minicourses which give an introduction to this exciting field aimed at PhD students. Some recent developments will be covered in additional research talks.

Speakers

Minicourses:

• Steffen Kionke (Hagen)
  "An introduction to arithmetic groups"
• Roman Sauer (Karlsruhe)
  "Higher Kazhdan property and high-dimensional expanders"
• Stefan Witzel (Gießen)
  "Euclidean buildings then and now"    [literature, pictures, ...]

Research talks:

• Caterina Campagnolo (Madrid)
  "Bounded cohomology of groups: what it can do for you"
• Pavel Gvozdevsky (Ramat Gan)
  "Width of words in linear groups"
• Kristian Holm (Kiel)
  "Volume Formulas"
• Waltraud Lederle (Dresden)
  "Boomerang subgroups in arithmetic lattices"
• Benoit Loisel (Poitiers)
  "Action of an S-arithmetic subgroup of a Chevalley group on a building"
• Chen Meiri (Haifa)
  "On the model theory of higher rank arithmetic groups"

Abstracts of minicourses and research talks

Participants

List of participants

Registration

• Family name, given name
• Affiliation
• Career status (graduate student, postdoc, ...)
• Duration of intended stay
• Your assent (if applicable) to include your name and affiliation in a list of participants on this website

The application deadline for financial support has passed but we still accept self-funded participants.

Schedule

All talks will be given in lecture hall 5F in building 25.21.

Download schedule (pdf)

Venue

The summer school takes place at the campus of Heinrich Heine University Düsseldorf which can easily be reached by public transport from the airport and the train station. All talks will be given in lecture hall 5F in building 25.21. See the following campus map on how to reach the venue from the tram/metro stop. Registration and coffee breaks will take place in room 25.22.00.53.

(Click to enlarge.)

Organizers

• Holger Kammeyer
• Benjamin Klopsch

GRK 2240          Heinrich Heine University Düsseldorf          University of Wuppertal

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