TRR 326:  Geometry and Arithmetic of Uniformized Structures (GAUS)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

No abstract available

• DFG Programme: CRC/Transregios

Current projects

• A01 - Teichmüller geometry of the moduli space (Project Head Möller, Martin )
• A03 - Non-archimedean skeletons and Newton–Okounkov bodies (Project Heads Küronya, Alex ;  Ulirsch, Ph.D., Martin )
• A04 - Green currents on Shimura varieties (Project Head Bruinier, Jan Hendrik )
• A06 - Automorphic forms and vertex operator algebras (Project Head Scheithauer, Nils R. )
• A07 - Rigid meromorphic cocycles on Drinfeld period domains (Project Heads Böckle, Gebhard ;  Ludwig, Judith )
• A08 - Geodesic cycles and modular forms (Project Heads Bruinier, Jan Hendrik ;  Möller, Martin )
• A09 - Effective global generation for uniformized varieties (Project Heads Küronya, Alex ;  Stix, Jakob )
• A10 - Gromov–Witten theory and orthogonal modular forms (Project Heads Bruinier, Jan Hendrik ;  Oberdieck, Georg )
• A11 - Tropical correspondences for A1-enumerative geometry (Project Heads Möller, Martin ;  Pauli, Sabrina )
• A12 - Algebraic surgery and enumerative geometry (Project Heads Bachmann, Tom ;  Pauli, Sabrina )
• B01 - Higher dimensional anabelian geometry (Project Heads Schmidt, Alexander ;  Stix, Jakob )
• B02 - Galois representations in anabelian geometry (Project Head Stix, Jakob )
• B04 - Images of Galois representations and deformations (Project Head Böckle, Gebhard )
• B05 - Iwasawa cohomology of Galois representations (Project Head Venjakob, Otmar )
• B06 - L-packets of p-adic automorphic forms (Project Head Ludwig, Judith )
• B07 - Algebraic cobordism in geometric Langlands (Project Heads Bachmann, Tom ;  Eberhardt, Jens Niklas ;  Richarz, Timo )
• C01 - Tame cohomology of schemes and adic spaces (Project Heads Hübner, Katharina ;  Schmidt, Alexander )
• C02 - Duality with Frobenius and Fp-étale ccohomology (Project Heads Blickle, Ph.D., Manuel ;  Böckle, Gebhard )
• C03 - Derived and prismatic F-Zips (Project Heads Blickle, Ph.D., Manuel ;  Wedhorn, Torsten )
• C04 - Truncations of shtukas and Shimura varieties (Project Heads Richarz, Timo ;  Viehmann, Eva ;  Wedhorn, Torsten )
• C06 - p-adic non-abelian Hodge theory (Project Heads Heuer, Ben ;  Werner, Annette )
• C07 - Motivic homotopy in p-adic cohomology (Project Head Merici, Alberto )
• C08 - K-theory, regularity, and homotopy invariance (Project Heads Hübner, Katharina ;  Tamme, Georg )
• MGK - Integrated Research Training Group (Project Head Wedhorn, Torsten )
• Z - Central Tasks of the Collaborative Research Centre (Project Head Stix, Jakob )

Completed projects

• A02 - Non-archimedean and tropical geometry of moduli spaces (Project Heads Möller, Martin ;  Ulirsch, Ph.D., Martin ;  Werner, Annette )
• A05 - Expansion and rationality of theta integrals (Project Head Li, Ph.D., Yingkun )
• B03 - Motivic local systems of Calabi–Yau-type (Project Head van Straten, Duco )
• C05 - Strata and tautological classes for compactifications of Shimura varieties (Project Head Wedhorn, Torsten )

• Applicant Institution: Goethe-Universität Frankfurt am Main
• Co-Applicant Institution: Ruprecht-Karls-Universität Heidelberg; Technische Universität Darmstadt
• Participating University: Johannes Gutenberg-Universität Mainz; Universität Münster
• Spokesperson: Professor Dr. Jakob Stix