Starts 15 Feb 2027
Ends 26 Feb 2027
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School and Workshop on Birational and Enumerative Geometry of Moduli Spaces | (smr 4339)
ICTP
Budinich Lecture Hall (LB)
Strada Costiera, 11
I - 34151 Trieste (Italy)
The call for application is now open.
This is the opening activity of the Special Program “Moduli Spaces: Geometry, Structures, and Invariants”, to take place at ICTP from February to May 2027.
The first-week school will consist of five minicourses on central topics in moduli theory. The second-week conference will focus on current striking results, building on the material of the first week. Topics will include: aspects of the birational geometry of moduli spaces of sheaves and Brill-Noether theory, the geometry of spaces of quasimaps to moduli spaces of sheaves, the quantum cohomology of moduli spaces of sheaves in relation to their derived category, new developments in hyperkähler geometry.
Topics
DEADLINES:
20 November 2026 for financial support
20 December 2026 for all other applications
20 November 2026 for financial support
20 December 2026 for all other applications
This is the opening activity of the Special Program “Moduli Spaces: Geometry, Structures, and Invariants”, to take place at ICTP from February to May 2027.
The first-week school will consist of five minicourses on central topics in moduli theory. The second-week conference will focus on current striking results, building on the material of the first week. Topics will include: aspects of the birational geometry of moduli spaces of sheaves and Brill-Noether theory, the geometry of spaces of quasimaps to moduli spaces of sheaves, the quantum cohomology of moduli spaces of sheaves in relation to their derived category, new developments in hyperkähler geometry.
Topics
- Stability conditions and wallcrossing for moduli spaces of stable objects
- Brill-Noether theory
- Geometry of quasimap spaces to complete intersections
- Structure of Invariants of quasimap spaces to quiver varieties and moduli spaces of sheaves
- Hyperkähler moduli spaces, hyperholomorphic bundles, algebraic cycles on hyperkähler varieties
- Invariants of moduli spaces of stable sheaves on surfaces, Vafa-Witten theory
School Speakers
- Michela Artebani, Universidad de Concepcion, Chile
- Izzet Coskun, University of Illinois at Chicago, USA
- Martijn Kool, Utrecht University, Netherlands
- Georg Oberdieck, University of Heidelberg, Germany
- Alessandra Sarti, Universite de Poitiers, France
Conference Speakers Include
- (*) Arend Bayer, University of Edinburgh, Scotland
- Francesca Carocci, Università di Roma II, Italy
- (*) Jack Huizenga, Penn State University, USA
- Antonio Laface, Universidad de Concepcion, Chile
- César Lozano Huerta, Universidad Nacional Autónoma de Mexico, Mexico
- (*) Davesh Maulik, MIT, USA
- Denis Nesterov, ETH Zurich, Switzerland
- Kieran O’Grady, Sapienza Università di Roma, Italy
- Riccardo Ontani, ICTP, Italy
- Angela Ortega, Humboldt University, Germany
- (*) Rahul Pandharipande, ETH Zurich, Switzerland
- Laura Pertusi, Università degli Studi di Milano, Italy
- Junliang Shen, Yale University, USA
- Balazs Szendroi, University of Vienna, Austria
- Qizheng Yin, Peking University, China
(*) To be confirmed
Research abstracts: In the application form, all applicants are requested to submit a brief research abstract for a poster presentation and/or contributed talk. A limited number of abstracts will be selected for the poster session or to give a talk. Please use ICTP templates available for download here or below under 'Material'.
Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.Deadlines: 20 Nov 2026 for financial support; 15 Jan 2027 for all other applications
**DEADLINE: 20/12/2026**
Organizers
Carolina Araujo (IMPA), Barbara Fantechi (SISSA), Gavril Farkas (Humboldt Universitaet Berlin), Andrea Ricolfi (SISSA), Local Organiser: Alina Marian (ICTP)