ERC Starting Grant 307119 - StabAGDG

In the period 2012-17 I was the Principal Investigator for the research project Stability and wall-crossing in algebraic and differential geometry, funded by a European Research Council Starting Grant (ERC StG 307119 - StabAGDG).

You may find a brief introduction to the project in these slides.

Past team members (with current affiliation) include Anna Barbieri (Sheffield), Giulio Codogni (EPFL Lausanne), Alessia Mandini (PUC Rio), Jacopo Scalise (SISSA), Roberto Svaldi (DPMMS Cambdridge), Tom Sutherland (Mainz).

Some past activities

Moduli of K-stable varieties, Rome, July 2017 (ERC-FIRB-INdAM).

School and Workshop on Algebraic Geometry and Physics 2017, Trieste, June 2017 (ERC-SISSA).

ERC mini-workshop at Pavia 26 november 2015.

Seminars on K-stability. In the week 24 - 28 November 2014 we hosted some informal seminars - discussions on recent topics in K-stability. Some more details.

ERC - FIRB workshop ``Mirror symmetry, enumerative geometry and related topics", Pavia, 26 - 30 May 2014.

Workshop pictures 1 , 2 , ERC - FIRB workshop, Pavia, 26 - 30 May 2014 (many thanks to Helge Ruddat and Diego Matessi).

ERC Research Meeting at Pavia (25 - 27 June 2013).

Richard Thomas' lectures at Pavia (26 - 27 March 2013)

Project publications (in progress)

  • J. Stoppa, Stable pairs, flat connections and Gopakumar-Vafa invariants , arXiv:1712.01221 [math.AG].

  • J. Scalise and J. Stoppa, Variations of BPS structure and a large rank limit , arXiv:1705.08820 [math.AG].

  • A. Barbieri, J. Stoppa and T. Sutherland, A construction of Frobenius manifolds from stability conditions , arXiv:1612.06295 [math.AG].

  • G. Codogni and J. Stoppa, Torus equivariant K-stability, arXiv:1602.03451 [math.AG].

  • A. Barbieri and J. Stoppa, Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property, arXiv:1512.01176 [math.AG]. To appear in Communications in Analysis and Geometry.

  • S. A. Filippini, M. Garcia-Fernandez and J. Stoppa, Stability data, irregular connections and tropical curves, Sel. Math. New Ser. (2017) 23: 1355.

  • A. Mandini and M.Pabiniak, Gromov width of polygon spaces, Transformation Groups (2017).

  • J. Stoppa, A note on Frobenius type and CV-structures in Donaldson-Thomas theory, written for ``Current Developments of Mirror Symmetry", Proceedings of the TSIMF 2014 Conference (ed. S. T. Yau et al.), International Press.

  • G. Codogni, R. Dervan, Non-reductive automorphism groups, the Loewy filtration and K-stability, Annales de l'institut Fourier, 66 no. 5 (2016), p. 1895-1921, doi:10.5802/aif.3052.

  • S. A. Filippini and J. Stoppa, TBA type equations and tropical curves, International Journal of Mathematics 27 , no. 7, 1640005 (2016).

  • S. A. Filippini and J. Stoppa, Block-Goettsche invariants from wall-crossing, Compositio Mathematica 151 , no. 8, 1543-1567 (2015).

  • A. Mandini, I. Biswas, C. Florentino and L. Godinho, Symplectic form on hyperpolygon spaces, Geometriae Dedicata, Vol. 179, Issue 1 (2015), 187-195.

  • A. Mandini, The Duistermaat-Heckman formula and the cohomology of moduli spaces of polygons, J. Symplectic Geometry, Vol. 12, No. 1 (2014), 171-213.

  • J. Stoppa, Joyce-Song wall-crossing as an asymptotic expansion, Kyoto Journal of Mathematics 54 , no. 1, 103-156 (2014).

  • M. Reineke, J. Stoppa, and T. Weist, MPS formula for quiver moduli and refined GW/Kronecker correspondence, Geometry & Topology 16, no. 4, 2097-2134 (2012).

    Some short-term visitors.