|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Curve counting on surfaces
If you have a question about this talk, please contact Caucher Birkar.
Counting nodal curves in (sufficiently ample) linear systems |L| on smooth projective surfaces S is a problem with a long history. The Göttsche conjecture, now proved by several people, states that these counts are universal and only depend on c_1(L)2, c_1(L)⋅c_1(S), c_1(S)2 and c_2(S). We link this classical curve count to certain Gromov-Witten and stable pair invariants (with many point insertions) on S. This can be see as version of the MNOP conjecture for the canonical bundle K_S. Dropping the ``sufficiently ample’’ condition on L, we show stable pair invariants of S can still be computed and are also universal and topological. This is joint work with R. P. Thomas.
This talk is part of the Algebraic Geometry Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsKavli Institute for Cosmology Biological Anthropology Lent Term Seminars 2011 CJCR
Other talksChalk, clunch and life on the edge Influence and the role of the expert Fertility Marketing and "Consumer Self-Spectacularisation" Post-Publication Sharing: Publishing your Research Effectively (for STEM PhD Students) The role of law in energy transitions: lessons from community renewables A philosophy on mathematics and modelling: what can computational models do?