Algebraic and topological cycles in tropical and complex geometry
About the project
This project focuses on the connections between geometry and combinatorics, provided specifically by tropical geometry. Tropical geometry is a relatively new field with powerful applications to other areas of mathematics and beyond. Perhaps most well known are the applications to algebraic, symplectic, enumerative, and discrete geometries. Additionally there are connections to number theory, statistical models, optimisation, thermodynamics, computer science, mathematical physics and mathematical biology.
- topology of real algebraic varieties
- algebraic geometry of discrete structures (matroids and combinatorial designs)
Mohammadi, Fatemeh and Shaw, Kristin, Toric degenerations of Grassmannians from matching fields, submitted, 2018.
Renaudineau, Arthur and Shaw, Kristin, Bounding Betti numbers of real hypersurfaces near the tropical limit, 2018.
There will be one phd position available in the group starting fall of 2019. Stayed tuned for more information!
Freie Universität Berlin, Oct 29-31, 2018.
Mathematisches Forschungsinstitut Oberwolfach, 28 April - 4 May 2019
Mathematisches Forschungsinstitut Oberwolfach, 24 Feb- 2 Mar 2019
University of Oslo, Norway May 14-16, 2019
Tropical Methods in Real Algebraic Geometry
Casa Matemática Oaxaca (CMO), Mexico, Sep 08 - Sep 13, 2019
ICM Satellite conference, Cabo Frio, Brazil, August 13-17, 2018
Institut de Mathématiques de Toulouse, July 4-5, 2018.
Nordfjordeid, Norway, June 18-22, 2018
University of Oslo, Norway May 2 - 4, 2018
Institut Mittag-Leffler, Sweden Jan 15th - April 30, 2018
This project is funded by Bergen Research Foundation.