Definition: A GAUS-AG is a typically semester long (bi-)weekly Arbeitsgemeinschaft with talks by typically GAUS-members aiming to learn together current developments along a coordinated programme. Talks serve multiple purposes with introductory talks laying the foundations of a theory and more advanced talks that dig into technical parts of a new result. Sometimes we invite “the” specialist for the topic of the programme to give a final talk.
During the summer term 2024, the anabelian GAUS-AG has the title “One representation to rule them all” or “Geometric Galois representations of number fields and where to find them”. We will study the preprint “Universality of the Galois action on the fundamental group of P^1-{0, 1, ∞}” by Alexander Petrov, see https://arxiv.org/abs/2109.09301v2 .
The AG will meet Thursday afternoon 14:00-17:00 approximately biweekly in Frankfurt, in room 711 groß, with two talks per meeting. We start May 2, and the remaining dates can be found in the GAUS-calendar.
Organizers: Magnus Carlson and Jakob Stix
For further details see the program.
The AG takes place in a hybrid format jointly organized by Darmstadt and Mainz.
• Tuesdays, 14:00 – 15:30 during the summer term 2024.
• Start date: April 16, end date: July 16
The program can be found here.
Organizers: Timo Richarz and Georg Tamme
The AG takes place in Heidelberg.
• Thursdays, 11:00 (c.t.) – 13:00 during the summer term 2024.
Start date: 18.4.2024, End date: 25.7.2024
Heidelberg Mathematikon, SR 8 and online via Zoom
The program can be found here.
Organizers: Otmar Venjakob, Max Witzelsperger
Our goal is to have a better understanding of V. Lafforgue’s seminal paper on the global Langlands program where he introduced a highly interesting approach to the “arithmetic to Galois” side for reductive groups over global function fields.
The seminar will take place on Fridays 9-11am in the room SR8 (tentatively) of Mathematikon in Heidelberg. The initial plan is to start with our first talk on April 26th, Friday at 9am. The Zoom meeting details will be provided later.
Organizers: Gebhard Böckle, Oguz Gezmis, Alireza Shavali and Sriram C. Venkata
For further details see the program.
The GAUS-AG on purity for flat cohomology will discuss a paper by Cesnavicius and Scholze [1912.10932] Purity for flat cohomology (arxiv.org).
The AG takes place in Heidelberg.
Thursdays 09:00-11:00 during the summer term 2024
Start date: 02.05.2024, End date: 18.07.2024
Heidelberg Mathematikon, room tba.
Organizers: Amine Koubaa
For further Details see the program.
Past GAUS-AGs
- Anabelian geometry (organizers: Jakob Stix, Tim Holzschuh and Marcin Lara)
- Emerton-Gee-Stacks (organizers: Marlon Kocher and Rustam Steingart)
- Exodromy (organizers: Tom Bachmann, Manuel Blickle and Georg Tamme)
- Rigid analytic motives (organizers: Rızacan Ciloglu, Lucas Gerth, Jon Miles and Timo Richarz)
- Rigid meromorphic cocycles (organizers: Gebhard Böckle, Oguz Gezmis and Judith Ludwig)
- Bridgeland stability conditions and applications (organizers: Jiaming Chen, Andrei Bud, and Martin Möller)
- Superconnections, theta series, and period domains (organizers: Jan Hendrik Bruinier, Yingkun Li and Riccardo Zuffetti)
- Prismatization (organizers: Torsten Wedhorn)
- Vectorial Drinfeld modular forms over Tate algebras (organizers: Gebhard Böckle and Oguz Gezmis)
- Condensed Mathematics (organizers: Achim Krause and Rustam Steingart)
- Six functor formalism and Poincaré duality (organizers: Christian Dahlhausen and Marius Leonhardt)
- Non-hypergeometric E-functions (organizers: Gabriele Bogo, Konstantin Jakob)
- Buildings (organizers: Luca Battistella, Martin Ulirsch)
- K-theory of the integers and the Kummer-Vandiver conjecture (organizers: Alexander Schmidt, Christian Dahlhausen)
- Moduli of Langlands parameters (organizers: Gebhard Böckle, Thibaud van den Hove, Judith Ludwig, Timo Richarz, Torsten Wedhorn)
- The André-Oort conjecture (organizers: Jiaming Chen, Jakob Stix, Riccardo Zuffetti)
- Prismatic cohomology (organizers: Milan Malcic, Max Witzelsperger)
- Étale motives (organizers: Rizacan Çiloğlu, Thibaud van den Hove, Timo Richarz)
- Anabelian geometry: the Grothendieck conjecture for affine curves (organizers: Tim Holzschuh, Jakob Stix)
- Hodge theory of matroids (Organizer: Martin Ulirsch)
- Bloch-Kato Selmer groups and the Fargues-Fontaine curve (Organizer: Otmar Venjakob)
- Tame Cohomology (Organizers: Katharina Hübner, Alexander Schmidt)
- Projectivity of the Witt vector affine Grassmannian (Organizers: Georg Tamme, Manuel Blickle)
- Moduli of curves and the theory of algebraic stacks (Organizer: Ariyan Javanpeykar)
- Plectic Stark-Heegner points after Fornea-Gehrmann and Fornea-Guitart-Masdeu (Organizers: Peter Gräf, Gebhard Böckle)
- The P=W conjecture (Organizers: Johannes Horn, Martin Möller)