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 winter term 2024/25, the anabelian GAUS-AG has the title “Mochizuki’s proof of the Hom-Conjecture [d’après Faltings]”.
The AG will meet Thursday afternoon 14:00-18:00 approximately biweekly for 5 – 6 times alternating between Heidelberg and Frankfurt, with two talks per meeting. We start October 31, and the remaining dates can be found in the GAUS-calendar/the programme.
Organizers: Magnus Carlson, Ruth Wild, Jakob Stix and Alexander Schmidt
For further details see the programme.
The goal is to study the geometry of the moduli stack of vector bundles on smooth, proper algebraic curves following course notes of Michael Rapoport. Prerequisite is a basic knowledge in algebraic geometry as covered by a two semester course on schemes and cohomology.
The AG takes place in a hybrid format.
• Tuesdays, 14:00 – 15:30 starting October 15 and ending February 11, 2024
• Room S215 401 at TU Darmstadt, mathematics department
• Zoom meeting ID: 612 2072 7363, Password: Largest six digit prime number
The program can be found here.
Organizers: Torsten Wedhorn and Timo Richarz
We meet every Thursday at 11 p.m. (s.t.) in SR 8 (Mathematikon) in Heidelberg.
The program can be found here.
Organizers: Marlon Kocher and Marvin Schneider
The AG will meet Thursday afternoon 14:00-16:30 in Frankfurt, with two 60 minute talks per meeting. We start November 07, and the remaining dates can be found in the GAUS-calendar/the programme.
Organizers: Andrei Bud, Johannes Horn, Martin Möller, Karin Schaller and Martin Ulirsch
For further details see the programme.
Our goal is to study the basics from Voisin’s book and later understand the construction and applications of mixed Hodge structures on the cohomology of complex algebraic varieties.
The AG is taking place every Wednesday from 12:00 to 13:30 in Mainz, starting on October 30, 2024.
Organizer: Georg Tamme, Tom Bachmann, Manuel Blickle, Manfred Lehn and Duco van Straten
We are going to study the paper of Iyengar-Khare-Manning on the subject: https://arxiv.org/pdf/2206.08212
The seminar will take place on Fridays, 9-11, in room SR8 in Heidelberg.
The programme can be found here.
Organizers: Alireza Shavali, Andrea Conti
Past GAUS-AGs
- Anabelian Geometry (organizers: Magnus Carlson and Jakob Stix)
- Chromatic Homotopy Theory (organizers: Timo Richarz and Georg Tamme)
- Arithmetic of critical p-adic L-functions (organizers: Otmar Venjakob and Max Witzelsperger)
- Shtukas for reductive groups and global Langlands correspondence after Vincent Lafforgue (organizers: Gebhard Böckle, Oguz Gezmis, Alireza Shavali and Sriram C. Venkata)
- Purity for flat cohomology (organizer: Amine Koubaa)
- 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)