Advanced School and Workshop on Moduli Spaces, Mirror Symmetry and Enumerative Geometry | (smr 2866)
Starts 1 Aug 2016
Ends 19 Aug 2016
Central European Time
ICTP
LB (Budinich Lecture Hall)
Strada Costiera, 11
I - 34151 Trieste (Italy)
The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy is organizing an Advanced School and Workshop on Moduli Spaces, Mirror Symmetry and Enumerative Geometry, to be held in Trieste from 1 to 19 August 2016.
TOPICS
Moduli spaces and enumerative geometry are important classical topics in algebraic geometry. In recent years they have received important new input from theoretical physics, among others with the advent of mirror symmetry, which made surprising predictions for classical problems in enumerative geometry. Mirror symmetry has since developed further and is a subject of intense study. Many powerful tools and techniques have been introduced in recent years in part to understand these predictions. These involve moduli spaces of maps, Gromov-Witten invariants, Donaldson-Thomas and Pandharipande-Thomas invariants, stability conditions on derived categories and their moduli spaces. At the same time important progress was made in the understanding of the geometry and topology of moduli spaces of curves. This school and workshop will introduce the participants to these fascinating subjects.
COURSES
The first two weeks (August 1-12 2016) will be devoted to an Advanced School. The third week will be a Workshop where the most recent developments will be presented.
The lecturers at the Advanced School are:
Alexander Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry and Its Applications, Higher School of Economics, Moscow) - Derived categories and moduli spaces
Arend Bayer (University of Edinburgh) - Stability conditions on derived categories and applications to geometry
Yukinobu Toda (University of Tokyo) - Stable pair invariants and derived categories
Aaron Pixton (MIT) - Tautological rings of moduli spaces of curves
Alessio Corti (Imperial College, London) and
Alexander Kasprzyk (University of Nottingham) - Mirror symmetry for Fano orbifolds
Paul Hacking (University of Massachusetts, Amherst) - Cluster algebras and Mirror Symmetry
The list of speakers of the Workshop includes:
Sebastian Y. Casalaina-Martin (University of Colorado)
Maksym Fedorchuk (Boston College) (TBC)
Michael Kemeny (Humboldt University, Berlin)
Martijn Kool (Utrecht University)
Marti Lahoz (University of Paris 7)
Melissa Liu (Columbia University)
Emanuele Macri (Northeastern University)
Alina Marian (Northeastern University) (TBC)
Andrei Negut (MIT)
Georg Oberdieck (MIT) (TBC)
Aaron Pixton (MIT)
Jorgen Rennemo (Oxford University)
Vivek Shende (University of California at Berkeley)
Paolo Stellari (University of Milan)
Jacopo Stoppa (University of Pavia)
Michael Wemyss (University of Edinburgh)
GRANTS
A limited number of grants are available to support the travel and living expenses of selected participants, with priority given to participants working in a developing country and who are at the early stages of their career
HOW TO APPLY
The application form can be accessed until 1 April 2016 through the link below.
Once you access the online application system, comprehensive instructions will guide you step-by-step, on how to fill out and submit online the application form. Recommendation letters are not mandatory, but will help you in the admission process.