Description |
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. |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | F. Rodriguez Villegas (ICTP) |
Speaker: | A. Bayer (University of Edinburgh) |
Material: | Video |
Speaker: | Y. Toda (The University of Tokyo) |
Material: | Video |
Speaker: | A. Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Material: | Video |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Bayer (University of Edinburgh) |
Material: | Video |
Speaker: | Y. Toda (The University of Tokyo) |
Material: | Video |
Speaker: | A. Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Material: | Video |
Speaker: | A. Bayer, A. Kuznetzov (University of Edinburgh; Steklov Institute Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Bayer (University of Edinburgh) |
Material: | Video |
Speaker: | Y. Toda (The University of Tokyo) |
Material: | Video |
Speaker: | A. Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Bayer (University of Edinburgh) |
Material: | Video |
Speaker: | Y. Toda (The University of Tokyo) |
Material: | Video |
Speaker: | A. Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Bayer (University of Edinburgh) |
Material: | Video |
Speaker: | Y. Toda (The University of Tokyo) |
Material: | Video |
Speaker: | A. Kuznetzov (Steklov Institute, Moscow and Laboratory of Algebraic Geometry, Higher School of Economics, Moscow) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Pixton (MIT) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Material: | Video |
Speaker: | A. Pixton (MIT) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Material: | Video |
Speaker: | A. Pixton (MIT) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London; University of Nottingham) |
Speaker: | A. Pixton (MIT) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Speaker: | A. Pixton (MIT) |
Material: | Video |
Speaker: | P. Hacking (University of Massachusetts, Amherst) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London and University of Nottingham) |
Material: | Video |
Speaker: | A. Corti and A. Kazprzyk (Imperial College, London; University of Nottingham) |
Speaker: | A. Pixton (MIT) |
Material: | Abstract |
Speaker: | M. Kool (Utrecht University) |
Material: | Abstract |
Speaker: | J. Shen (ETH Zurich) |
Material: | Abstract |
Speaker: | G. Oberdieck (MIT) |
Material: | Abstract |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | J. Stoppa (Università degli Studi di Pavia) |
Material: | Abstract |
Speaker: | A. Rizzardo (SISSA) |
Material: | Abstract |
Speaker: | P. Stellari (Università degli Studi di Milano) |
Material: | Abstract |
Speaker: | M. Lahoz (Institut de Mathématiques Jussieu) |
Material: | Abstract |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | M. Lelli-Chiesa (Università di Pisa) |
Material: | Abstract |
Speaker: | S.Y. Casalaina-Martin (University of Colorado at Boulder) |
Material: | Abstract |
Speaker: | M. Kemeny (Humboldt-Universität zu Berlin) |
Material: | Abstract |
Speaker: | O. Tommasi (Chalmers University of Technology and University of Gothenburg) |
Material: | Abstract |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | C. Liu (Columbia University) |
Material: | Abstract |
Abstract: We demonstrate a recent conjectural relation between the GUE free energy and certain cubic Hodge integrals over the moduli spaces of stable algebraic curves. The talk is based on a joint work with Boris Dubrovin.
Speaker: | Di Yang (SISSA) |
Abstract: There are 27 lines on any smooth cubic surface in P^3. How many are there on a smooth quartic surface? What if we allow for singularities? The answer depends on the characteristic of the ground field: I will show you why.
Speaker: | Davide Cesare Veniani (Leibniz Universitaet Hannover) |
Speaker: | Philip Engel (Harvard University) |
Speaker: | J. Rennemo (University of Oxford) |
Material: | Abstract |
Abstract: Kim and Lho calculated genus 1 Gromov-Witten invariants for quintic 3-fold using localization on quasimap spaces and wall crossing formula. We will give a calculation of genus 1 Gromov-Witten invariants for local P^1 * P^1 without using BCOV theory by similar method of them. This is joint work with Hyenho Lho.
Speaker: | Jeongseok Oh (KAIST) |
Abstract: We present the definition of the moduli spaces of twisted k-differentials, which are closed substacks of \bar M_g,n constructed by Farkas and Pandharipande. We give an indication how to compute the dimension of their components and, if time permits, a conjectural expression of their (weighted) fundamental class in terms of a tautological cycle studied by Pixton.
Speaker: | Johannes Schmitt (ETH Zurich) |
Abstract: The aim of this talk is to present formulas for integrals over Grassmannians of characteristic classes of the tautological bundles. An application to enumerative geometry of lines is given.
Speaker: | Dang Tuan Hiep (National Centre for Theoretical Sciences) |
Location: | Leonardo Building - Budinich Lecture Hall |
Speaker: | A. Negut (MIT) |
Material: | Abstract |
Speaker: | C. Manolache (Imperial college UK) |
Material: | Abstract |
Speaker: | D. Halpern-Leistner (Columbia University) |
Material: | Abstract |