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The '''SFB 1085 Higher Invariants''' at the [http://www.mathematik.uni-r.de Faculty of Mathematics] at the [//www.uni-r.de Universität Regensburg] is funded by the [//www.dfg.de DFG] | The '''SFB 1085 Higher Invariants''' at the [http://www.mathematik.uni-r.de Faculty of Mathematics] at the [//www.uni-r.de Universität Regensburg] is funded by the [//www.dfg.de DFG.]<br> | ||
The SFB offers an extensive and flexible guest programme [[Guest programme|Apply Now!]] | |||
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== Miscellaneous == | == Miscellaneous == | ||
The CRC provides an internal [[RTG 1085|'''''research training group''''']] for PhD students and postdocs. Additionally, the CRC supports gender equality and family friendly measures for its members. | The CRC provides an internal [[RTG 1085|'''''research training group''''']] for PhD students and postdocs. Additionally, the CRC supports [[gender equality and family friendly measures]] for its members. | ||
Latest revision as of 13:54, 28 November 2024
The SFB 1085 Higher Invariants at the Faculty of Mathematics at the Universität Regensburg is funded by the DFG.
The SFB offers an extensive and flexible guest programme Apply Now!
Speaker
- Speaker: Prof. Dr. Guido Kings
- Cospeaker: Prof. Dr. Ulrich Bunke
- Coordinator: Birgit Tiefenbach, office M 301, phone +49 (0)941-943-5871
- email sfb-higher-invariants@mathematik.uni-regensburg.de
Topics
Invariants play a dominant role in all of mathematics: Invariants should be fine enough to extract the right information, but coarse enough to be computable in specific cases. Higher invariants are a structural and hierarchical refinement of certain classical invariants. The long term goal of this Collaborative Research Centre is to formulate the principles of construction and computation of higher invariants in a systematic way.
- Higher Chern classes
- Volumes, L-functions, and polylogarithms
- Metric structures on cohomology, vector bundles, and cycles
- Higher categories and enriched structures
Projects and principal investigators
- Cohomology of Higher-Dimensional Schemes {Ended} (U.Jannsen, M. Kerz)
- Differential Arithmetic Geometry {Ended} (U. Bunke, G. Kings, G. Raptis, G. Tamme)
- Cycle Classes in p-Adic Cohomology (V. Ertl, M. Kerz)
- Topological Aspects of Curvature Integrals (B. Ammann, C. Löh)
- Tropical Approaches to Arakelov Theory (W. Gubler, K. Künnemann)
- Coarse Homotopy Theory (U. Bunke, D.-C. Cisinski)
- Higher Nearby Cycles Functors and Grothendieck Duality (D.-C. Cisinski, M. Hoyois)
- Derivators in Higher Category Theory {Ended} (D.-C. Cisinski, G. Raptis)
- Higher Categories of Correspondences {New} (D.-C. Cisinski, M. Hoyois, C. Scheimbauer)
- Motivic Homotopy Theory and Intersection Theory {New} (D.-C. Cisinski, M. Hoyois, M. Kerz)
- Spectral Algebraic Geometry (N. Naumann)
- K-Theory, Polylogarithms and Regulators (G. Kings, J. Sprang, V. Ertl)
- Simplicial Volume and Bounded Cohomology (S. Friedl, C. Löh)
- The l1-Seminorm on Homology and L2-Torsion {Ended} (S. Friedl)
- Non-Archimedean Pluri-Potential Theory (W. Gubler, K. Künnemann)
- Higher Structures in Functorial Field Theory {New} (M. Ludewig, C. Scheimbauer)
- Index Theory on Submanifold Complements {New} (B. Ammann, U. Bunke, M. Ludewig)
Miscellaneous
The CRC provides an internal research training group for PhD students and postdocs. Additionally, the CRC supports gender equality and family friendly measures for its members.
