Algebraic Torus Action: Geometry and Combinatorics
Polish-German joint project within the collaboration scheme
Beethoven
financed in 2018-2020 by
Polish National Science Center
grant 2016/23/G/ST1/04282
Deutsche Forschungsgemeinschaft
grant HA 4383/8-1
Institutions
Freie Univeristaet Berlin
The University of Warsaw
Researchers
Klaus Altmann,
PI (Berlin)
Christian Haase,
PI (Berlin)
Eleonora Romano
, (Warsaw)
Karin Schaller,
(Berlin)
Andrzej Weber,
PI (Warsaw)
Jaroslaw Wisniewski,
PI (Warsaw)
Project summary
Activities related to the project
Algebraic Geometry seminar at UW
September Algebraic Geometry Schools
Workshops, meetings
Condensed mathematics and liquid tensor experiment
Sopot Workshop, October 2021
Klaus Altmann, Inhomogeneous toric deformations
Karin Schaller, NObodies are perfect, semigroups are not.
Christian Haase, More on NObodies and semigroups
Jaroslaw Wisniewski, Birational geometry via C* actions, an introduction
Alberto Franceschini, Birational trasnformations from bandwidth two C* actions
Eleonora Romano, C*-actions and Mori Dream Spaces
Luis Sola Conde, Geometric realizations of birational maps via C* actions
Andrzej Weber, Torus equivariant characteristic classes for nilpotent cones
Jakub Koncki, Equivariant motivic Chern class of Bialynicki-Birula cells
School
Homogeneous Spaces, Characteristic Classes
, September 2019.
Luis Sola Conde,
Geometry of rational homogeneous spaces
Andrzej Weber,
Characteristic classes of singular varieties in equivariant theories
Warsaw Workshop, November 2018
Klaus Altmann, T-varieties via polyhedral divisors
Jaroslaw Buczynski, T-varieties via fixed points and moment polytopes
Maksymilian Grab, Grids in resolving quotient singularities
Joachim Jelisiejew, ABB decomposition for monoids
Eleonora Romano, Adjunction for varieties with torus action
Michal Lech, Degenerations of some homogeneous varieties
Andrzej Weber, Localization theorems and cohomology
Publications
Buczynski, Weber, Wisniewski
Algebraic torus actions on contact manifolds
, J. Diff. Geom, to appear.
Feher, Rimanyi, Weber
Motivic Chern classes and K-theoretic stable envelopes
, Proc. London Math. Soc. on-line
Feher, Rimanyi, Weber
Characteristic classes of orbit stratifications, the axiomatic approach
, in: Schubert Calculus and Its Applications in Combinatorics and Representation Theory, ed. J. Hu, C. Li, L. Mihalcea. Springer 2020
Kumar, Rimanyi, Weber
Elliptic classes of Schubert varieties
, Math. Ann. 378 (2020), no. 1-2, 703-728
Michalek, Monin, Wisniewski
Maximum likelihood, complete quadrics and C* actions
SIAM J. Alg. Geom. (2021)
Mikosz, Weber
Elliptic classes, McKay correspondence and theta identities
, J. Algebraic Comb., on-line
Montero, Romano,
A characterization of some Fano 4-folds through conic fibrations
,
Int. Math. Res. Notices
(2019).
Occhetta, Sola Conde, Romano, Wisniewski,
Small bandwidth C* actions and birational geometry
Occhetta, Sola Conde, Romano, Wisniewski,
Higher rank torus action on contact manifolds
Selecta Mathematica
(2021)
Romano,
A note on flatness of some fiber type contractions
,
Proc. Japan Acad.
(2019).
Romano,
On some Fano 4-folds with Lefschetz defect 3
Romano, Wisniewski
Adjunction for varieties with C* action
,
Transformation Groups
(2020)
Rimanyi, Weber
Elliptic classes of Schubert cells via Bott-Samelson resolution
, J. Topol. 13 (2020), no. 3, 1139-1182
Rimanyi, Weber
Elliptic Classes On Langlands Dual Flag Varieties
, Commun. Contemp. Math.,to appear
e-mail:
atag@mimuw.edu.pl